LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1503.06474

Peter Lunts

Peter Lunts, Subhro Bhattacharjee, Jonah Miller, Erik Schnetter, Yong Baek Kim, Sung-Sik Lee

Ab initio holography

44+11 pages, many figures, added how to extract critical exponent from bulk (Fig. 13), other minor changes

JHEP 1508:107,2015

10.1007/JHEP08(2015)107

null

hep-th cond-mat.str-el

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

We apply the quantum renormalization group to construct a holographic dual for the U(N) vector model for complex bosons defined on a lattice. The bulk geometry becomes dynamical as the hopping amplitudes which determine connectivity of space are promoted to quantum variables. In the large N limit, the full bulk equations of motion for the dynamical hopping fields are numerically solved for finite systems. From finite size scaling, we show that different phases exhibit distinct geometric features in the bulk. In the insulating phase, the space gets fragmented into isolated islands deep inside the bulk, exhibiting ultra-locality. In the superfluid phase, the bulk exhibits a horizon beyond which the geometry becomes non-local. Right at the horizon, the hopping fields decay with a universal power-law in coordinate distance between sites, while they decay in slower power-laws with continuously varying exponents inside the horizon. At the critical point, the bulk exhibits a local geometry whose characteristic length scale diverges asymptotically in the IR limit.

[ { "created": "Sun, 22 Mar 2015 20:37:58 GMT", "version": "v1" }, { "created": "Tue, 18 Aug 2015 21:58:15 GMT", "version": "v2" }, { "created": "Thu, 20 Aug 2015 21:05:17 GMT", "version": "v3" } ]

2015-08-31

[ [ "Lunts", "Peter", "" ], [ "Bhattacharjee", "Subhro", "" ], [ "Miller", "Jonah", "" ], [ "Schnetter", "Erik", "" ], [ "Kim", "Yong Baek", "" ], [ "Lee", "Sung-Sik", "" ] ]

We apply the quantum renormalization group to construct a holographic dual for the U(N) vector model for complex bosons defined on a lattice. The bulk geometry becomes dynamical as the hopping amplitudes which determine connectivity of space are promoted to quantum variables. In the large N limit, the full bulk equations of motion for the dynamical hopping fields are numerically solved for finite systems. From finite size scaling, we show that different phases exhibit distinct geometric features in the bulk. In the insulating phase, the space gets fragmented into isolated islands deep inside the bulk, exhibiting ultra-locality. In the superfluid phase, the bulk exhibits a horizon beyond which the geometry becomes non-local. Right at the horizon, the hopping fields decay with a universal power-law in coordinate distance between sites, while they decay in slower power-laws with continuously varying exponents inside the horizon. At the critical point, the bulk exhibits a local geometry whose characteristic length scale diverges asymptotically in the IR limit.

12.277636

13.868493

13.026284

12.622874

13.179919

13.771753

13.229305

12.682891

11.89582

15.576993

12.535569

11.896948

12.506746

11.815054

11.85662

12.217647

12.152264

11.723078

11.402082

12.122934

11.5148

hep-th/9806237

Changhai Lu

Two-Monopole Systems and the Formation of Non-Abelian Clouds

26 pages, 18 figures

Phys.Rev. D58 (1998) 125010

10.1103/PhysRevD.58.125010

CU-TP-901

hep-th

null

We study the energy density of two distinct fundamental monopoles in SU(3) and Sp(4) theories with an arbitrary mass ratio. Several special limits of the general result are checked and verified. Based on the analytic expression of energy density the coefficient of the internal part of the moduli space metric is also computed, which gives it a nice "mechanical" interpretation. We then investigate the interaction energy density for both cases. By analyzing the contour of the zero interaction energy density we propose a detailed picture of what happens when one gets close to the massless limit. The study of the interaction energy density also sheds light on the formation of the non-Abelian cloud.

[ { "created": "Mon, 29 Jun 1998 19:59:23 GMT", "version": "v1" }, { "created": "Fri, 20 Nov 1998 17:14:46 GMT", "version": "v2" } ]

2009-10-31

[ [ "Lu", "Changhai", "" ] ]

We study the energy density of two distinct fundamental monopoles in SU(3) and Sp(4) theories with an arbitrary mass ratio. Several special limits of the general result are checked and verified. Based on the analytic expression of energy density the coefficient of the internal part of the moduli space metric is also computed, which gives it a nice "mechanical" interpretation. We then investigate the interaction energy density for both cases. By analyzing the contour of the zero interaction energy density we propose a detailed picture of what happens when one gets close to the massless limit. The study of the interaction energy density also sheds light on the formation of the non-Abelian cloud.

13.763469

13.995596

14.384137

13.935392

13.458137

13.26556

13.011097

12.781559

12.967351

15.202326

13.474793

13.016871

13.247287

12.845179

12.935545

12.729716

13.19872

12.824254

12.661222

13.264853

12.774939

hep-th/0108105

Rudra Prakash Malik

R. P. Malik (Bose National Centre, Calcutta, India)

New symmetries for Abelian gauge theory in superfield formulation

LaTeX, 12 pages, no figures, Eqns. (3.10),(4.6),(4.7) corrected

Phys.Lett.B521:409-417,2001

10.1016/S0370-2693(01)01178-9

null

hep-th

null

We show the existence of some new local, covariant and continuous symmetries for the BRST invariant Lagrangian density of a free two ($1 + 1$)-dimensional (2D) Abelian U(1) gauge theory in the framework of superfield formalism. The Noether conserved charges corresponding to the above local continuous symmetries find their geometrical origin as the translation generators along the odd (Grassmannian)- and even (bosonic) directions of the four ($2 + 2)$-dimensional compact supermanifold. Some new discrete symmetries are shown to exist in the superfield formulation. The logical origin for the existence of BRST- and co-BRST symmetries is shown to be encoded in the Hodge decomposed versions (of the 2D fermionic vector fields) that are consistent with the discrete symmetries of the theory.

[ { "created": "Tue, 14 Aug 2001 17:26:22 GMT", "version": "v1" }, { "created": "Mon, 20 Aug 2001 16:02:27 GMT", "version": "v2" }, { "created": "Tue, 11 Sep 2001 08:53:44 GMT", "version": "v3" }, { "created": "Thu, 4 Oct 2001 16:23:47 GMT", "version": "v4" }, { "created": "Wed, 31 Oct 2001 05:58:01 GMT", "version": "v5" }, { "created": "Sun, 2 Dec 2001 15:54:59 GMT", "version": "v6" } ]

2011-07-19

[ [ "Malik", "R. P.", "", "Bose National Centre, Calcutta, India" ] ]

We show the existence of some new local, covariant and continuous symmetries for the BRST invariant Lagrangian density of a free two ($1 + 1$)-dimensional (2D) Abelian U(1) gauge theory in the framework of superfield formalism. The Noether conserved charges corresponding to the above local continuous symmetries find their geometrical origin as the translation generators along the odd (Grassmannian)- and even (bosonic) directions of the four ($2 + 2)$-dimensional compact supermanifold. Some new discrete symmetries are shown to exist in the superfield formulation. The logical origin for the existence of BRST- and co-BRST symmetries is shown to be encoded in the Hodge decomposed versions (of the 2D fermionic vector fields) that are consistent with the discrete symmetries of the theory.

9.276282

5.968851

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6.299749

10.076636

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9.00836

8.51756

7.939792

7.857632

7.671366

7.97392

8.019777

8.747963

7.859712

hep-th/0608002

James T. Liu

Alex Buchel and James T. Liu

Gauged supergravity from type IIB string theory on Y^{p,q} manifolds

27 pages, latex, reference added and typos corrected

Nucl.Phys.B771:93-112,2007

10.1016/j.nuclphysb.2007.03.001

UWO-TH-06/11, MCTP-06-18

hep-th

null

We first construct a consistent Kaluza-Klein reduction ansatz for type IIB theory compactified on Sasaki-Einstein manifolds Y^{p,q} with Freund-Rubin 5-form flux giving rise to minimal N=2 gauged supergravity in five dimensions. We then investigate the R-charged black hole solution in this gauged supergravity, and in particular study its thermodynamics. Based on the gauge theory/string theory correspondence, this non-extremal geometry is dual to finite temperature strongly coupled four-dimensional conformal gauge theory plasma with a U(1)_R-symmetry charge chemical potential. We study transport properties of the gauge theory plasma and show that the ratio of shear viscosity to entropy density in this plasma is universal. We further conjecture that the universality of shear viscosity of strongly coupled gauge theory plasma extends to nonzero R-charge chemical potential.

[ { "created": "Tue, 1 Aug 2006 15:39:02 GMT", "version": "v1" }, { "created": "Tue, 6 Mar 2007 15:19:15 GMT", "version": "v2" } ]

2008-11-26

[ [ "Buchel", "Alex", "" ], [ "Liu", "James T.", "" ] ]

We first construct a consistent Kaluza-Klein reduction ansatz for type IIB theory compactified on Sasaki-Einstein manifolds Y^{p,q} with Freund-Rubin 5-form flux giving rise to minimal N=2 gauged supergravity in five dimensions. We then investigate the R-charged black hole solution in this gauged supergravity, and in particular study its thermodynamics. Based on the gauge theory/string theory correspondence, this non-extremal geometry is dual to finite temperature strongly coupled four-dimensional conformal gauge theory plasma with a U(1)_R-symmetry charge chemical potential. We study transport properties of the gauge theory plasma and show that the ratio of shear viscosity to entropy density in this plasma is universal. We further conjecture that the universality of shear viscosity of strongly coupled gauge theory plasma extends to nonzero R-charge chemical potential.

6.059014

5.199113

6.853093

5.416324

5.483638

5.134599

5.444239

5.449688

5.557012

7.463995

5.206535

5.663182

6.043375

5.658316

5.706866

5.746362

5.579099

5.552349

5.472071

6.318795

5.592674

2304.01028

Philipe De Fabritiis

David Dudal, Philipe De Fabritiis, Marcelo S. Guimaraes, Giovani Peruzzo, Silvio P. Sorella

BRST invariant formulation of the Bell-CHSH inequality in gauge field theories

12 pages. Revised version. Accepted for publication in SciPost Physics

SciPost Phys. 15, 201 (2023)

10.21468/SciPostPhys.15.5.201

null

hep-th hep-ph quant-ph

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

A study of the Bell-CHSH inequality in gauge field theories is presented. By using the Kugo-Ojima analysis of the BRST charge cohomology in Fock space, the Bell-CHSH inequality is formulated in a manifestly BRST invariant way. The examples of the free four-dimensional Maxwell theory and the Abelian Higgs model are scrutinized. The inequality is probed by using BRST invariant squeezed states, allowing for large Bell-CHSH inequality violations, close to Tsirelson's bound. An illustrative comparison with the entangled state of two $1/2$ spin particles in Quantum Mechanics is provided.

[ { "created": "Mon, 3 Apr 2023 14:27:55 GMT", "version": "v1" }, { "created": "Tue, 17 Oct 2023 01:08:54 GMT", "version": "v2" } ]

2023-11-29

[ [ "Dudal", "David", "" ], [ "De Fabritiis", "Philipe", "" ], [ "Guimaraes", "Marcelo S.", "" ], [ "Peruzzo", "Giovani", "" ], [ "Sorella", "Silvio P.", "" ] ]

A study of the Bell-CHSH inequality in gauge field theories is presented. By using the Kugo-Ojima analysis of the BRST charge cohomology in Fock space, the Bell-CHSH inequality is formulated in a manifestly BRST invariant way. The examples of the free four-dimensional Maxwell theory and the Abelian Higgs model are scrutinized. The inequality is probed by using BRST invariant squeezed states, allowing for large Bell-CHSH inequality violations, close to Tsirelson's bound. An illustrative comparison with the entangled state of two $1/2$ spin particles in Quantum Mechanics is provided.

8.893245

8.535215

9.865752

7.862752

8.941477

7.955379

8.416892

7.733414

7.827722

8.895864

7.769792

7.742723

8.304802

7.330899

7.712738

7.965755

7.835662

7.779226

7.641995

8.151978

7.658849

1806.08353

Jaewon Song

Kazunobu Maruyoshi, Emily Nardoni, and Jaewon Song

Landscape of Simple Superconformal Field Theories in 4d

5+5 pages, 2 figures, v3: minor changes including the abstract, version to appear in PRL

Phys. Rev. Lett. 122, 121601 (2019)

10.1103/PhysRevLett.122.121601

KIAS-P18044

hep-th

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

We explore the space of renormalization group flows that originate from $\mathcal{N}=1$ supersymmetric $SU(2)$ gauge theory with one adjoint and a pair of fundamental chiral multiplets. By considering all possible relevant deformations - including coupling to gauge-singlet chiral multiplets - we find 34 fixed points in this simple setup. We observe that theories in this class exhibit many novel phenomena: emergent symmetry, decoupling of operators, and narrow distribution of central charges $a/c$. This set of theories includes two of the $\mathcal{N}=2$ minimal Argyres-Douglas theories and their mass deformed versions. In addition, we find 36 candidate fixed point theories possessing unphysical fermionic operators -including one with central charges $(a, c)\simeq (0.20, 0.22)$ that are smaller than any known superconformal theory -that need further investigation.

[ { "created": "Thu, 21 Jun 2018 17:58:39 GMT", "version": "v1" }, { "created": "Mon, 26 Nov 2018 05:51:25 GMT", "version": "v2" }, { "created": "Mon, 11 Mar 2019 09:11:45 GMT", "version": "v3" } ]

2019-04-03

[ [ "Maruyoshi", "Kazunobu", "" ], [ "Nardoni", "Emily", "" ], [ "Song", "Jaewon", "" ] ]

We explore the space of renormalization group flows that originate from $\mathcal{N}=1$ supersymmetric $SU(2)$ gauge theory with one adjoint and a pair of fundamental chiral multiplets. By considering all possible relevant deformations - including coupling to gauge-singlet chiral multiplets - we find 34 fixed points in this simple setup. We observe that theories in this class exhibit many novel phenomena: emergent symmetry, decoupling of operators, and narrow distribution of central charges $a/c$. This set of theories includes two of the $\mathcal{N}=2$ minimal Argyres-Douglas theories and their mass deformed versions. In addition, we find 36 candidate fixed point theories possessing unphysical fermionic operators -including one with central charges $(a, c)\simeq (0.20, 0.22)$ that are smaller than any known superconformal theory -that need further investigation.

9.376127

9.199064

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8.973457

9.19664

9.116525

9.017537

9.141205

8.963577

9.509475

9.062178

1703.00025

Scott Melville

Claudia de Rham and Scott Melville

Unitary null energy condition violation in $P(X)$ cosmologies

35 pages, 1 figure

Phys. Rev. D 95, 123523 (2017)

10.1103/PhysRevD.95.123523

null

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

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

A non-singular cosmological bounce in the Einstein frame can only take place if the Null Energy Condition (NEC) is violated. We explore situations where a single scalar field drives the NEC violation and derive the constraints imposed by demanding tree level unitarity on a cosmological background. We then focus on the explicit constraints that arise in P(X) theories and show that constraints from perturbative unitarity make it impossible for the NEC violation to occur within the region of validity of the effective field theory without also involving irrelevant operators that arise at a higher scale that would enter from integrating out more massive degrees of freedom. Within the context of P(X) theories we show that including such operators allows for a bounce that does not manifestly violate tree level unitarity, but at the price of either imposing a shift symmetry or involving technically unnatural small operator coefficients within the low-energy effective field theory.

[ { "created": "Tue, 28 Feb 2017 19:02:28 GMT", "version": "v1" }, { "created": "Fri, 23 Jun 2017 13:05:15 GMT", "version": "v2" } ]

2017-06-26

[ [ "de Rham", "Claudia", "" ], [ "Melville", "Scott", "" ] ]

A non-singular cosmological bounce in the Einstein frame can only take place if the Null Energy Condition (NEC) is violated. We explore situations where a single scalar field drives the NEC violation and derive the constraints imposed by demanding tree level unitarity on a cosmological background. We then focus on the explicit constraints that arise in P(X) theories and show that constraints from perturbative unitarity make it impossible for the NEC violation to occur within the region of validity of the effective field theory without also involving irrelevant operators that arise at a higher scale that would enter from integrating out more massive degrees of freedom. Within the context of P(X) theories we show that including such operators allows for a bounce that does not manifestly violate tree level unitarity, but at the price of either imposing a shift symmetry or involving technically unnatural small operator coefficients within the low-energy effective field theory.

10.549797

11.738169

11.816464

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11.649746

11.310846

10.492754

11.638686

10.380634

10.06539

10.361586

10.104727

10.01088

10.207938

10.013198

10.524555

9.773937

10.190588

9.842981

0901.4088

George Siopsis

Black holes and the quark-gluon plasma

19 pages, prepared for the Proceedings of Recent Developments in Gravity - NEB XIII, Thessaloniki, Greece, June 2008

J.Phys.Conf.Ser.189:012036,2009

10.1088/1742-6596/189/1/012036

UTHET-09-0101

hep-th

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

I discuss the possibility that the quark-gluon plasma at strong coupling admits a description in terms of a black hole in asymptotically anti-de Sitter space.

[ { "created": "Mon, 26 Jan 2009 20:21:04 GMT", "version": "v1" } ]

2009-11-05

[ [ "Siopsis", "George", "" ] ]

I discuss the possibility that the quark-gluon plasma at strong coupling admits a description in terms of a black hole in asymptotically anti-de Sitter space.

6.558868

4.443686

4.973836

4.984695

4.601448

4.187603

4.122443

4.49686

4.816149

5.901758

4.572114

5.075751

4.859321

4.750125

4.879872

4.957884

4.769164

5.26024

4.94917

4.633889

4.785961

2010.05823

Steven Weinberg

Massless Particles in Higher Dimensions

null

10.1103/PhysRevD.102.095022

null

hep-th

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

In spacetimes of any dimensionality, the massless particle states that can be created and destroyed by a field in a given representation of the Lorentz group are severely constrained by the condition that the invariant Abelian subgroup of the little group must leave these states invariant. A number of examples are given of the massless one-particle states that can be described by various tensor and spinor-tensor fields, and a speculation is offered for the general case.

[ { "created": "Mon, 12 Oct 2020 16:17:22 GMT", "version": "v1" } ]

2020-12-30

[ [ "Weinberg", "Steven", "" ] ]

In spacetimes of any dimensionality, the massless particle states that can be created and destroyed by a field in a given representation of the Lorentz group are severely constrained by the condition that the invariant Abelian subgroup of the little group must leave these states invariant. A number of examples are given of the massless one-particle states that can be described by various tensor and spinor-tensor fields, and a speculation is offered for the general case.

10.756992

9.400027

11.406545

9.970891

11.361465

9.797761

10.378399

9.406098

9.784678

13.692732

9.627333

9.815734

11.042788

10.001753

9.897461

9.778606

9.433979

9.640195

9.710077

10.121796

9.583911

1502.02853

Mohammad R. Garousi

Hamid R. Bakhtiarizadeh, Mohammad R. Garousi

Higher-derivative corrections to type II supergravity:Four Ramond-Ramond terms

24 pages, no figure

null

hep-th

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

It is known that the sphere-level S-matrix element of four type II superstrings has one kinematic factor. At the low energy limit, this factor produces the kinematic factor of the corresponding Feynman amplitudes in the supergravity. It also produces higher-derivative couplings of four strings. In this paper, we explicitly calculate the kinematic factor of four RR states in the supergravity. Using this factor, we then find the eight-derivative P-even and P-odd couplings of four RR fields, including the self-dual RR five-form field strength. We show that the P-even couplings are mapped to the standard $\bar{R}^4$ couplings by linear T-duality and S-duality transformations. We also confirm the P-even couplings with direct calculations in type II superstring theories.

[ { "created": "Tue, 10 Feb 2015 10:58:33 GMT", "version": "v1" } ]

2015-02-11

[ [ "Bakhtiarizadeh", "Hamid R.", "" ], [ "Garousi", "Mohammad R.", "" ] ]

It is known that the sphere-level S-matrix element of four type II superstrings has one kinematic factor. At the low energy limit, this factor produces the kinematic factor of the corresponding Feynman amplitudes in the supergravity. It also produces higher-derivative couplings of four strings. In this paper, we explicitly calculate the kinematic factor of four RR states in the supergravity. Using this factor, we then find the eight-derivative P-even and P-odd couplings of four RR fields, including the self-dual RR five-form field strength. We show that the P-even couplings are mapped to the standard $\bar{R}^4$ couplings by linear T-duality and S-duality transformations. We also confirm the P-even couplings with direct calculations in type II superstring theories.

8.639108

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9.6821

7.25005

7.680123

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7.89133

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8.713736

8.022281

8.098712

7.875189

7.974566

7.573731

7.768388

8.948738

7.672178

hep-th/9911088

J. Erickson

J.K. Erickson, G.W. Semenoff, R.J. Szabo and K. Zarembo

Static Potential in N=4 Supersymmetric Yang-Mills Theory

8 pages, four figures using feynmf

Phys.Rev. D61 (2000) 105006

10.1103/PhysRevD.61.105006

null

hep-th

null

We compute the leading order perturbative correction to the static potential in ${\cal N}=4$ supersymmetric Yang-Mills theory. We show that the perturbative expansion contains infrared logarithms which, when resummed, become logarithms of the coupling constant. The resulting correction goes in the right direction to match the strong coupling behavior obtained from the AdS/CFT correspondence. We find that the strong coupling extrapolation of the sum of ladder diagrams goes as $\sqrt{g^2N}$, as in the supergravity approach.

[ { "created": "Fri, 12 Nov 1999 08:01:48 GMT", "version": "v1" } ]

2009-10-31

[ [ "Erickson", "J. K.", "" ], [ "Semenoff", "G. W.", "" ], [ "Szabo", "R. J.", "" ], [ "Zarembo", "K.", "" ] ]

We compute the leading order perturbative correction to the static potential in ${\cal N}=4$ supersymmetric Yang-Mills theory. We show that the perturbative expansion contains infrared logarithms which, when resummed, become logarithms of the coupling constant. The resulting correction goes in the right direction to match the strong coupling behavior obtained from the AdS/CFT correspondence. We find that the strong coupling extrapolation of the sum of ladder diagrams goes as $\sqrt{g^2N}$, as in the supergravity approach.

5.979118

5.86291

6.204234

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6.034777

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6.025885

5.99256

6.185729

7.033503

5.511054

5.874094

6.072962

5.844063

6.049932

6.061255

5.788388

5.84477

5.807224

6.055468

6.008206

1006.3350

Gabriel Menezes

G. Krein, G. Menezes and N. F. Svaiter

Analog model for quantum gravity effects: phonons in random fluids

null

Phys.Rev.Lett.105:131301,2010

10.1103/PhysRevLett.105.131301

null

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

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

We describe an analog model for quantum gravity effects in condensed matter physics. The situation discussed is that of phonons propagating in a fluid with a random velocity wave equation. We consider that there are random fluctuations in the reciprocal of the bulk modulus of the system and study free phonons in the presence of Gaussian colored noise with zero mean. We show that in this model, after performing the random averages over the noise function a free conventional scalar quantum field theory describing free phonons becomes a self-interacting model.

[ { "created": "Thu, 17 Jun 2010 00:51:47 GMT", "version": "v1" } ]

2014-11-21

[ [ "Krein", "G.", "" ], [ "Menezes", "G.", "" ], [ "Svaiter", "N. F.", "" ] ]

We describe an analog model for quantum gravity effects in condensed matter physics. The situation discussed is that of phonons propagating in a fluid with a random velocity wave equation. We consider that there are random fluctuations in the reciprocal of the bulk modulus of the system and study free phonons in the presence of Gaussian colored noise with zero mean. We show that in this model, after performing the random averages over the noise function a free conventional scalar quantum field theory describing free phonons becomes a self-interacting model.

16.811693

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17.041283

18.327526

17.063856

16.462189

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15.756728

15.521248

15.131589

14.949659

14.912617

15.91827

14.961644

15.5045

14.938476

15.840639

hep-th/9408045

null

J. Barcelos-Neto and T.G. Dargam

Constrained Analysis of Topologically Massive Gravity

15 pages, IF-UFRJ-21/94

Z.Phys. C67 (1995) 701-706

10.1007/BF01553998

null

hep-th

null

We quantize the Einstein gravity in the formalism of weak gravitational fields by using the constrained Hamiltonian method. Special emphasis is given to the 2+1 spacetime dimensional case where a (topological) Chern-Simons term is added to the Lagrangian.

[ { "created": "Mon, 8 Aug 1994 13:16:12 GMT", "version": "v1" } ]

2009-10-28

[ [ "Barcelos-Neto", "J.", "" ], [ "Dargam", "T. G.", "" ] ]

We quantize the Einstein gravity in the formalism of weak gravitational fields by using the constrained Hamiltonian method. Special emphasis is given to the 2+1 spacetime dimensional case where a (topological) Chern-Simons term is added to the Lagrangian.

9.534514

8.257455

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7.94415

8.385293

7.795716

7.722959

8.928378

8.315033

7.978588

8.330799

8.008796

7.895811

8.09074

7.80273

8.03232

8.123864

8.104484

7.9579

2209.05730

Timothy Adamo

Tim Adamo, Andrea Cristofoli, Piotr Tourkine

The ultrarelativistic limit of Kerr

21 pages, 3 figures. v2: Typos fixed, minor improvements

null

10.1007/JHEP02(2023)107

null

hep-th gr-qc

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

The massless (or ultrarelativistic) limit of a Schwarzschild black hole with fixed energy was determined long ago in the form of the Aichelburg-Sexl shockwave, but the status of the same limit for a Kerr black hole is less clear. In this paper, we explore the ultrarelativistic limit of Kerr in the class of Kerr-Schild impulsive pp-waves by exploiting a relation between the metric profile and the eikonal phase associated with scattering between a scalar and the source of the metric. This gives a map between candidate metrics and tree-level, 4-point scattering amplitudes. At large distances from the source, we find that all candidates for the massless limit of Kerr in this class do not have spin effects. This includes the metric corresponding to the massless limit of the amplitude for gravitational scattering between a scalar and a massive particle of infinite spin. One metric, discovered by Balasin and Nachbagauer, does have spin and finite size effects at short distances, leading to a remarkably compact scattering amplitude with many interesting properties. We also discuss the classical single copy of the ultrarelativistic limit of Kerr in electromagnetism.

[ { "created": "Tue, 13 Sep 2022 04:50:41 GMT", "version": "v1" }, { "created": "Sat, 28 Jan 2023 16:03:45 GMT", "version": "v2" } ]

2023-03-01

[ [ "Adamo", "Tim", "" ], [ "Cristofoli", "Andrea", "" ], [ "Tourkine", "Piotr", "" ] ]

The massless (or ultrarelativistic) limit of a Schwarzschild black hole with fixed energy was determined long ago in the form of the Aichelburg-Sexl shockwave, but the status of the same limit for a Kerr black hole is less clear. In this paper, we explore the ultrarelativistic limit of Kerr in the class of Kerr-Schild impulsive pp-waves by exploiting a relation between the metric profile and the eikonal phase associated with scattering between a scalar and the source of the metric. This gives a map between candidate metrics and tree-level, 4-point scattering amplitudes. At large distances from the source, we find that all candidates for the massless limit of Kerr in this class do not have spin effects. This includes the metric corresponding to the massless limit of the amplitude for gravitational scattering between a scalar and a massive particle of infinite spin. One metric, discovered by Balasin and Nachbagauer, does have spin and finite size effects at short distances, leading to a remarkably compact scattering amplitude with many interesting properties. We also discuss the classical single copy of the ultrarelativistic limit of Kerr in electromagnetism.

9.769105

11.135627

10.453803

9.44367

10.633864

10.28334

11.177995

9.996574

10.450438

11.26577

9.424644

9.655082

9.986267

9.701987

9.466657

9.9807

9.674969

9.606665

9.596023

9.679118

9.734845

1812.04593

Naoki Kiryu

Naoki Kiryu, Shota Komatsu

Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization

v3 Typos corrected

null

10.1007/JHEP02(2019)090

UT-Komaba/18-7

hep-th

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

We compute correlation functions of protected primaries on the $1/2$-BPS Wilson loop in ${\cal N}$ = 4 super Yang-Mills theory at weak coupling. We first perform direct perturbative computation at one loop in the planar limit and present explicit formulae for general two-, three- and four-point functions. The results for two- and three-point functions as well as four-point functions in special kinematics are in perfect agreement with the localization computation performed in arXiv:1802.05201. We then analyze the results in view of the integrability-based approach called "hexagonalization", which was introduced previously to study the correlation functions in the absence of the Wilson loop. In this approach, one decomposes the correlator into fundamental building blocks called "hexagons", and glues them back together by summing over the intermediate states. Through the comparison, we conjecture that the correlation functions on the Wilson loop can be computed by contracting hexagons with boundary states, where each boundary state represents a segment of the Wilson loop. As a byproduct, we make predictions for the large-charge asymptotics of the structure constants on the Wilson loop. Along the way, we refine the conjecture for the integrability-based approach to the general non-BPS structure constants on the Wilson loop, proposed originally in arXiv:1706.02989.

[ { "created": "Tue, 11 Dec 2018 18:26:28 GMT", "version": "v1" }, { "created": "Wed, 12 Dec 2018 01:46:17 GMT", "version": "v2" }, { "created": "Fri, 25 Jan 2019 07:23:49 GMT", "version": "v3" } ]

2019-03-27

[ [ "Kiryu", "Naoki", "" ], [ "Komatsu", "Shota", "" ] ]

We compute correlation functions of protected primaries on the $1/2$-BPS Wilson loop in ${\cal N}$ = 4 super Yang-Mills theory at weak coupling. We first perform direct perturbative computation at one loop in the planar limit and present explicit formulae for general two-, three- and four-point functions. The results for two- and three-point functions as well as four-point functions in special kinematics are in perfect agreement with the localization computation performed in arXiv:1802.05201. We then analyze the results in view of the integrability-based approach called "hexagonalization", which was introduced previously to study the correlation functions in the absence of the Wilson loop. In this approach, one decomposes the correlator into fundamental building blocks called "hexagons", and glues them back together by summing over the intermediate states. Through the comparison, we conjecture that the correlation functions on the Wilson loop can be computed by contracting hexagons with boundary states, where each boundary state represents a segment of the Wilson loop. As a byproduct, we make predictions for the large-charge asymptotics of the structure constants on the Wilson loop. Along the way, we refine the conjecture for the integrability-based approach to the general non-BPS structure constants on the Wilson loop, proposed originally in arXiv:1706.02989.

6.275459

5.701297

7.142542

5.722089

6.135527

5.928167

5.916503

5.629567

5.762098

6.682227

5.841979

5.914056

6.246965

5.866459

5.935761

5.915989

5.890386

5.886539

5.83635

6.206923

5.835834

hep-th/9406061

Brian Dolan

Brian P. Dolan

Symplectic geometry and Hamiltonian flow of the renormalisation group equation

30 pages

Int.J.Mod.Phys.A10:2703-2732,1995

10.1142/S0217751X95001273

DIAS STP-94-21

hep-th cond-mat math.SG

null

It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow on a phase space which consists of the couplings of the theory and their conjugate \lq\lq momenta", which are the vacuum expectation values of the corresponding composite operators. The Hamiltonian is linear in the conjugate variables and can be identified with the vacuum expectation value of the trace of the energy-momentum operator. For theories with massive couplings the identity operator plays a central role and its associated coupling gives rise to a potential in the flow equations. The evolution of any quantity , such as $N$-point Green functions, under renormalisation group flow can be obtained from its Poisson bracket with the Hamiltonian. Ward identities can be represented as constants of the motion which act as symmetry generators on the phase space via the Poisson bracket structure.

[ { "created": "Fri, 10 Jun 1994 16:42:46 GMT", "version": "v1" } ]

2011-08-17

[ [ "Dolan", "Brian P.", "" ] ]

It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow on a phase space which consists of the couplings of the theory and their conjugate \lq\lq momenta", which are the vacuum expectation values of the corresponding composite operators. The Hamiltonian is linear in the conjugate variables and can be identified with the vacuum expectation value of the trace of the energy-momentum operator. For theories with massive couplings the identity operator plays a central role and its associated coupling gives rise to a potential in the flow equations. The evolution of any quantity , such as $N$-point Green functions, under renormalisation group flow can be obtained from its Poisson bracket with the Hamiltonian. Ward identities can be represented as constants of the motion which act as symmetry generators on the phase space via the Poisson bracket structure.

7.775257

7.440459

7.904941

7.166873

7.746637

7.57589

7.751613

7.21074

7.382613

8.879656

6.826891

7.214077

7.515115

7.161042

7.220955

7.139019

7.112012

7.242535

7.234029

7.419062

7.142582

hep-th/9808124

Nikolaos Mavromatos

Nick E. Mavromatos and Richard J. Szabo

Matrix D-brane Dynamics, Logarithmic Operators and Quantization of Noncommutative Spacetime

67 pages LATEX, three eps figures incorporated

Phys. Rev. D 59, 104018 (1999)

10.1103/PhysRevD.59.104018

OUTP-98-54P

hep-th gr-qc

null

We describe the structure of the moduli space of $\sigma$-model couplings for the worldsheet description of a system of $N$ D-particles, in the case that the couplings are represented by a pair of logarithmic recoil operators. We derive expressions for the canonical momenta conjugate to the D-particle couplings and the Zamolodchikov metric to the first few orders in $\sigma$-model perturbation theory. We show, using only very general properties of the operator product expansion in logarithmic conformal field theories, that the canonical dynamics on moduli space agree with the predictions of the non-abelian generalization of the Born-Infeld effective action for D-particles with a symmetrized trace structure. We demonstrate that the Zamolodchikov metric naturally encodes the short-distance structure of spacetime, and from this we derive uncertainty relations for the D-particle coordinates directly from the quantum string theory. We show that the moduli space geometry naturally leads to new forms of spacetime indeterminancies involving only spatial coordinates of target space and illustrate the manner in which the open string interactions between D-particles lead to a spacetime quantization. We also derive appropriate non-abelian generalizations of the string-modified Heisenberg uncertainty relations and the space--time uncertainty principle. The non-abelian uncertainties exhibit decoherence effects suggesting the interplay of quantum gravity in multiple D-particle dynamics.

[ { "created": "Thu, 20 Aug 1998 09:44:45 GMT", "version": "v1" } ]

2016-08-25

[ [ "Mavromatos", "Nick E.", "" ], [ "Szabo", "Richard J.", "" ] ]

We describe the structure of the moduli space of $\sigma$-model couplings for the worldsheet description of a system of $N$ D-particles, in the case that the couplings are represented by a pair of logarithmic recoil operators. We derive expressions for the canonical momenta conjugate to the D-particle couplings and the Zamolodchikov metric to the first few orders in $\sigma$-model perturbation theory. We show, using only very general properties of the operator product expansion in logarithmic conformal field theories, that the canonical dynamics on moduli space agree with the predictions of the non-abelian generalization of the Born-Infeld effective action for D-particles with a symmetrized trace structure. We demonstrate that the Zamolodchikov metric naturally encodes the short-distance structure of spacetime, and from this we derive uncertainty relations for the D-particle coordinates directly from the quantum string theory. We show that the moduli space geometry naturally leads to new forms of spacetime indeterminancies involving only spatial coordinates of target space and illustrate the manner in which the open string interactions between D-particles lead to a spacetime quantization. We also derive appropriate non-abelian generalizations of the string-modified Heisenberg uncertainty relations and the space--time uncertainty principle. The non-abelian uncertainties exhibit decoherence effects suggesting the interplay of quantum gravity in multiple D-particle dynamics.

9.730859

10.151086

10.06287

9.623638

10.532322

9.584037

9.838998

9.417761

9.644494

11.447285

9.398443

9.787959

9.540053

9.730933

9.837916

9.688213

9.579542

9.469294

9.472366

9.878192

9.721219

hep-th/9610078

Alexey A. Deriglazov

A.A. Deriglazov

BFV-Type Representation of Path-Integral for Dynamical System with second class constraints

9 pages, LaTex

null

hep-th

null

It is shown that the phase space of a dynamical system subject to second class constraints can be extended by ghost variables in such a way that some formal analogies of the $\Omega$-charge and the unitarizing Hamiltonian can be constructed. Then BFV-type path integral representation for the generating functional of Green's functions is written and shown to coincide with the standard one.

[ { "created": "Fri, 11 Oct 1996 01:27:45 GMT", "version": "v1" } ]

2007-05-23

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

It is shown that the phase space of a dynamical system subject to second class constraints can be extended by ghost variables in such a way that some formal analogies of the $\Omega$-charge and the unitarizing Hamiltonian can be constructed. Then BFV-type path integral representation for the generating functional of Green's functions is written and shown to coincide with the standard one.

12.122561

8.733912

12.329472

9.470621

11.035626

10.127241

11.8511

10.23395

9.990519

11.250954

9.356141

9.944501

10.759357

9.843738

9.458646

9.893731

9.922899

10.003813

9.87533

10.459888

9.792738

hep-th/0108152

Seiberg

Juan Maldacena, Gregory Moore and Nathan Seiberg

D-brane Charges in Five-brane backgrounds

42 pages, 2 figures

JHEP 0110:005,2001

10.1088/1126-6708/2001/10/005

RUNHETC-2001-25

hep-th

null

We discuss the discrete Z_k D-brane charges (twisted K-theory charges) in five-brane backgrounds from several different points of view. In particular, we interpret it as a result of a standard Higgs mechanism. We show that certain degrees of freedom (singletons) on the boundary of space can extend the corresponding Z_k symmetry to U(1). Related ideas clarify the role of AdS singletons in the AdS/CFT correspondence.

[ { "created": "Tue, 21 Aug 2001 20:36:22 GMT", "version": "v1" }, { "created": "Tue, 25 Sep 2001 13:50:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Maldacena", "Juan", "" ], [ "Moore", "Gregory", "" ], [ "Seiberg", "Nathan", "" ] ]

We discuss the discrete Z_k D-brane charges (twisted K-theory charges) in five-brane backgrounds from several different points of view. In particular, we interpret it as a result of a standard Higgs mechanism. We show that certain degrees of freedom (singletons) on the boundary of space can extend the corresponding Z_k symmetry to U(1). Related ideas clarify the role of AdS singletons in the AdS/CFT correspondence.

16.161631

15.015713

19.546883

14.300303

14.48959

14.504317

15.726445

14.20415

14.604897

21.037256

14.190255

13.902824

16.27767

13.954387

13.964858

13.571687

13.424689

14.275082

14.638709

15.460287

13.265877

2202.05784

Daniele Dorigoni Dr

Daniele Dorigoni, Michael B. Green, Congkao Wen

Exact results for duality-covariant integrated correlators in $\mathcal{N}=4$ SYM with general classical gauge groups

38 pages, v2: minor changes, version accepted for publication in SciPost

null

QMUL-PH-22-04

hep-th

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

We present exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of $\mathcal{N}=4$ supersymmetric Yang--Mills (SYM) theory with classical gauge group, $G_N$ $= SO(2N)$, $SO(2N+1)$, $USp(2N)$. These integrated correlators are expressed as two-dimensional lattice sums by considering derivatives of the localised partition functions, generalising the expression obtained for $SU(N)$ in our previous works. These expressions are manifestly covariant under Goddard-Nuyts-Olive duality. The integrated correlators can also be formally written as infinite sums of non-holomorphic Eisenstein series with integer indices and rational coefficients. Furthermore, the action of the hyperbolic Laplace operator with respect to the complex coupling $\tau=\theta/(2\pi) + 4\pi i /g^2_{_{YM}}$ on any integrated correlator for gauge group $G_N$ relates it to a linear combination of correlators with gauge groups $G_{N+1}$, $G_N$ and $G_{N-1}$. These "Laplace-difference equation" determine the expressions of integrated correlators for all classical gauge groups for any value of $N$ in terms of the correlator for the gauge group $SU(2)$. The perturbation expansions of these integrated correlators for any finite value of $N$ agree with properties obtained from perturbative Yang--Mills quantum field theory, together with various multi-instanton calculations which are also shown to agree with those determined by supersymmetric localisation. The coefficients of terms in the large-$N$ expansion are sums of non-holomorphic Eisenstein series with half-integer indices, which extend recent results and make contact with low order terms in the low energy expansion of type IIB superstring theory in an $AdS_5\times S^5/\mathbb{Z}_2$ background.

[ { "created": "Fri, 11 Feb 2022 17:28:52 GMT", "version": "v1" }, { "created": "Tue, 11 Oct 2022 15:23:21 GMT", "version": "v2" } ]

2022-10-12

[ [ "Dorigoni", "Daniele", "" ], [ "Green", "Michael B.", "" ], [ "Wen", "Congkao", "" ] ]

We present exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of $\mathcal{N}=4$ supersymmetric Yang--Mills (SYM) theory with classical gauge group, $G_N$ $= SO(2N)$, $SO(2N+1)$, $USp(2N)$. These integrated correlators are expressed as two-dimensional lattice sums by considering derivatives of the localised partition functions, generalising the expression obtained for $SU(N)$ in our previous works. These expressions are manifestly covariant under Goddard-Nuyts-Olive duality. The integrated correlators can also be formally written as infinite sums of non-holomorphic Eisenstein series with integer indices and rational coefficients. Furthermore, the action of the hyperbolic Laplace operator with respect to the complex coupling $\tau=\theta/(2\pi) + 4\pi i /g^2_{_{YM}}$ on any integrated correlator for gauge group $G_N$ relates it to a linear combination of correlators with gauge groups $G_{N+1}$, $G_N$ and $G_{N-1}$. These "Laplace-difference equation" determine the expressions of integrated correlators for all classical gauge groups for any value of $N$ in terms of the correlator for the gauge group $SU(2)$. The perturbation expansions of these integrated correlators for any finite value of $N$ agree with properties obtained from perturbative Yang--Mills quantum field theory, together with various multi-instanton calculations which are also shown to agree with those determined by supersymmetric localisation. The coefficients of terms in the large-$N$ expansion are sums of non-holomorphic Eisenstein series with half-integer indices, which extend recent results and make contact with low order terms in the low energy expansion of type IIB superstring theory in an $AdS_5\times S^5/\mathbb{Z}_2$ background.

5.996443

5.323314

7.19605

5.521766

5.681637

5.587602

5.606404

5.516558

5.352724

7.526664

5.536523

5.535076

6.105713

5.675832

5.586033

5.662783

5.760713

5.729641

5.67962

6.151618

5.630934

1306.2901

Hassan Firouzjahi

Xingang Chen, Hassan Firouzjahi, Mohammad Hossein Namjoo, Misao Sasaki

Fluid Inflation

Minor revisions, discussions improved, new references added, JCAP published version

null

10.1088/1475-7516/2013/09/012

YITP-13-41, IPM/A-2013/25

hep-th astro-ph.CO

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

In this work we present an inflationary mechanism based on fluid dynamics. Starting with the action for a single barotropic perfect fluid, we outline the procedure to calculate the power spectrum and the bispectrum of the curvature perturbation. It is shown that a perfect barotropic fluid naturally gives rise to a non-attractor inflationary universe in which the curvature perturbation is not frozen on super-horizon scales. We show that a scale-invariant power spectrum can be obtained with the local non-Gaussianity parameter $f_{NL}= 5/2$.

[ { "created": "Wed, 12 Jun 2013 17:21:00 GMT", "version": "v1" }, { "created": "Mon, 23 Sep 2013 02:17:20 GMT", "version": "v2" } ]

2015-06-16

[ [ "Chen", "Xingang", "" ], [ "Firouzjahi", "Hassan", "" ], [ "Namjoo", "Mohammad Hossein", "" ], [ "Sasaki", "Misao", "" ] ]

In this work we present an inflationary mechanism based on fluid dynamics. Starting with the action for a single barotropic perfect fluid, we outline the procedure to calculate the power spectrum and the bispectrum of the curvature perturbation. It is shown that a perfect barotropic fluid naturally gives rise to a non-attractor inflationary universe in which the curvature perturbation is not frozen on super-horizon scales. We show that a scale-invariant power spectrum can be obtained with the local non-Gaussianity parameter $f_{NL}= 5/2$.

6.455539

6.179137

6.387896

5.884789

6.373288

5.922197

6.585742

6.061451

5.955545

6.689161

5.714344

5.739606

5.9597

5.642766

5.874636

5.925955

5.882315

5.756594

5.906802

5.871153

5.97014

0801.2268

Evgeny Skvortsov D

E.D. Skvortsov

Mixed-Symmetry Massless Fields in Minkowski space Unfolded

59 pages; PDOF counting added; typos corrected

JHEP 0807:004,2008

10.1088/1126-6708/2008/07/004

null

hep-th

null

The unfolded formulation for arbitrary massless mixed-symmetry bosonic and fermionic fields in Minkowski space is constructed. The unfolded form is proved to be uniquely determined by the requirement that all gauge symmetries are manifest. The unfolded equations have the form of a covariant constancy condition. The gauge fields and gauge parameters are differential forms with values in certain irreducible Lorentz tensors. The unfolded equations for bosons determine completely those for fermions. The proposed unfolded formulation also contains dual formulations for massless mixed-symmetry fields.

[ { "created": "Tue, 15 Jan 2008 17:28:46 GMT", "version": "v1" }, { "created": "Tue, 15 Jan 2008 21:29:04 GMT", "version": "v2" }, { "created": "Wed, 26 Mar 2008 09:59:48 GMT", "version": "v3" }, { "created": "Thu, 29 May 2008 14:27:10 GMT", "version": "v4" } ]

2014-11-18

[ [ "Skvortsov", "E. D.", "" ] ]

The unfolded formulation for arbitrary massless mixed-symmetry bosonic and fermionic fields in Minkowski space is constructed. The unfolded form is proved to be uniquely determined by the requirement that all gauge symmetries are manifest. The unfolded equations have the form of a covariant constancy condition. The gauge fields and gauge parameters are differential forms with values in certain irreducible Lorentz tensors. The unfolded equations for bosons determine completely those for fermions. The proposed unfolded formulation also contains dual formulations for massless mixed-symmetry fields.

9.866724

6.841225

10.56125

7.313253

7.557411

7.207842

6.558329

6.890788

7.092467

9.252608

6.851497

6.966237

8.93657

7.139555

7.066791

7.103912

6.861175

7.318987

7.084116

9.173203

6.659391

1905.10378

Upamanyu Moitra

Upamanyu Moitra, Sunil Kumar Sake, Sandip P. Trivedi, V. Vishal

Jackiw-Teitelboim Gravity and Rotating Black Holes

44 pages, 4 appendices; v2: Additional references and minor improvements; v3: Version published in JHEP

JHEP 1911 (2019) 047

10.1007/JHEP11(2019)047

TIFR/TH/19-17

hep-th cond-mat.str-el gr-qc

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

We show that the free energy at low temperatures for near-extremal black holes is correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to all black holes, including rotating ones, whose metric has a near-horizon $\mathrm{AdS}_2$ factor and the associated $\mathrm{SL}(2,\mathbb{R})$ symmetry. We verify these arguments by explicit calculations for rotating black holes in $4$ and $5$ dimensions. Our results suggest that the JT model could prove useful in analysing the dynamics of near-extremal Kerr black holes found in nature.

[ { "created": "Fri, 24 May 2019 18:00:02 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2019 17:58:44 GMT", "version": "v2" }, { "created": "Thu, 14 Nov 2019 17:58:54 GMT", "version": "v3" } ]

2019-11-15

[ [ "Moitra", "Upamanyu", "" ], [ "Sake", "Sunil Kumar", "" ], [ "Trivedi", "Sandip P.", "" ], [ "Vishal", "V.", "" ] ]

We show that the free energy at low temperatures for near-extremal black holes is correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to all black holes, including rotating ones, whose metric has a near-horizon $\mathrm{AdS}_2$ factor and the associated $\mathrm{SL}(2,\mathbb{R})$ symmetry. We verify these arguments by explicit calculations for rotating black holes in $4$ and $5$ dimensions. Our results suggest that the JT model could prove useful in analysing the dynamics of near-extremal Kerr black holes found in nature.

6.299934

5.723607

5.769924

5.496852

6.111629

5.894204

5.522544

5.397725

5.579277

5.570825

5.706515

5.72911

5.824331

5.890825

5.706632

5.583851

5.840192

5.729732

5.775023

5.589779

5.576046

1207.3054

G. Alencar

G. Alencar, R. R. Landim, M. O. Tahim and R. N. Costa Filho

A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison

28 pages, 23 figures, minor corrections

null

10.1007/JHEP01(2013)050

null

hep-th gr-qc

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

The transfer matrix method is used to analyze resonances in Randall-Sundrum models. Although it has successfully been used previously by us we provide here a comparison between the numerical and analytical models. To reach this we first find new exact solution for the scalar, gauge, Kalb-Ramond and $q-$form fields. Them we calculate numerically the resonances by the transfer matrix method and compare with the analytical result. For completeness, this is done for models with and without the dilaton coupling. The results show a perfect agreement between the analytical and numerical methods.

[ { "created": "Thu, 12 Jul 2012 18:36:47 GMT", "version": "v1" }, { "created": "Wed, 3 Oct 2012 14:23:12 GMT", "version": "v2" }, { "created": "Thu, 4 Oct 2012 16:56:08 GMT", "version": "v3" } ]

2013-01-14

[ [ "Alencar", "G.", "" ], [ "Landim", "R. R.", "" ], [ "Tahim", "M. O.", "" ], [ "Filho", "R. N. Costa", "" ] ]

The transfer matrix method is used to analyze resonances in Randall-Sundrum models. Although it has successfully been used previously by us we provide here a comparison between the numerical and analytical models. To reach this we first find new exact solution for the scalar, gauge, Kalb-Ramond and $q-$form fields. Them we calculate numerically the resonances by the transfer matrix method and compare with the analytical result. For completeness, this is done for models with and without the dilaton coupling. The results show a perfect agreement between the analytical and numerical methods.

13.257603

12.451458

12.956831

12.463095

12.647501

12.998781

13.920161

12.661712

13.007562

14.845446

12.443347

13.428262

12.589278

12.789351

12.669887

12.742602

12.919093

12.665612

13.196466

12.366796

12.441607

1904.10175

Katsuki Aoki

Katsuki Aoki and Keigo Shimada

Scalar-metric-affine theories: Can we get ghost-free theories from symmetry?

15 pages, no figure, published version

Phys. Rev. D 100, 044037 (2019)

10.1103/PhysRevD.100.044037

YITP-19-32, WU-AP/1903/19

hep-th gr-qc hep-ph

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

We reveal the existence of a certain hidden symmetry in general ghost-free scalar-tensor theories which can only be seen when generalizing the geometry of the spacetime from Riemannian. For this purpose, we study scalar-tensor theories in the metric-affine (Palatini) formalism of gravity, which we call scalar-metric-affine theories for short, where the metric and the connection are independent. We show that the projective symmetry, a local symmetry under a shift of the connection, can provide a ghost-free structure of scalar-metric-affine theories. The ghostly sector of the second-order derivative of the scalar is absorbed into the projective gauge mode when the unitary gauge can be imposed. Incidentally, the connection does not have the kinetic term in these theories and then it is just an auxiliary field. We can thus (at least in principle) integrate the connection out and obtain a form of scalar-tensor theories in the Riemannian geometry. The projective symmetry then hides in the ghost-free scalar-tensor theories. As an explicit example, we show the relationship between the quadratic order scalar-metric-affine theory and the quadratic U-degenerate theory. The explicit correspondence between the metric-affine (Palatini) formalism and the metric one could be also useful for analyzing phenomenology such as inflation.

[ { "created": "Tue, 23 Apr 2019 06:54:30 GMT", "version": "v1" }, { "created": "Thu, 15 Aug 2019 01:38:38 GMT", "version": "v2" } ]

2019-08-28

[ [ "Aoki", "Katsuki", "" ], [ "Shimada", "Keigo", "" ] ]

We reveal the existence of a certain hidden symmetry in general ghost-free scalar-tensor theories which can only be seen when generalizing the geometry of the spacetime from Riemannian. For this purpose, we study scalar-tensor theories in the metric-affine (Palatini) formalism of gravity, which we call scalar-metric-affine theories for short, where the metric and the connection are independent. We show that the projective symmetry, a local symmetry under a shift of the connection, can provide a ghost-free structure of scalar-metric-affine theories. The ghostly sector of the second-order derivative of the scalar is absorbed into the projective gauge mode when the unitary gauge can be imposed. Incidentally, the connection does not have the kinetic term in these theories and then it is just an auxiliary field. We can thus (at least in principle) integrate the connection out and obtain a form of scalar-tensor theories in the Riemannian geometry. The projective symmetry then hides in the ghost-free scalar-tensor theories. As an explicit example, we show the relationship between the quadratic order scalar-metric-affine theory and the quadratic U-degenerate theory. The explicit correspondence between the metric-affine (Palatini) formalism and the metric one could be also useful for analyzing phenomenology such as inflation.

8.151875

8.347714

8.034149

7.740235

7.887188

7.939559

8.282342

7.673041

8.028801

8.861755

7.875257

7.706023

7.925157

7.579906

7.770452

7.592234

7.691429

7.721832

7.818508

7.682136

7.527874

hep-th/9504121

Chris Pope

Z. Khviengia, H. Lu, C.N. Pope, E. Sezgin, X.J. Wang and K.W. Xu

$N=1$ Superstring in $2+2$ Dimensions

17 pages, latex, no figures.

Nucl.Phys.B444:468-486,1995

10.1016/0550-3213(95)00194-W

CTP TAMU-2/95

hep-th

null

In this paper we construct a $(2,2)$ dimensional string theory with manifest $N=1$ spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The worldsheet symmetry algebra is a twisted and truncated ``small'' $N=4$ superconformal algebra. The realisation of the symmetry algebra is reducible with an infinite order of reducibility. We study the physical states of the theory by two different methods. In one of them, we identify a subset of irreducible constraints, which is by itself critical. We construct the BRST operator for the irreducible constraints, and study the cohomology and interactions. This method breaks the $SO(2,2)$ spacetime symmetry of the original reducible theory. In another approach, we study the theory in a fully covariant manner, which involves the introduction of infinitely many ghosts for ghosts.

[ { "created": "Mon, 24 Apr 1995 17:39:56 GMT", "version": "v1" } ]

2009-10-07

[ [ "Khviengia", "Z.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Sezgin", "E.", "" ], [ "Wang", "X. J.", "" ], [ "Xu", "K. W.", "" ] ]

In this paper we construct a $(2,2)$ dimensional string theory with manifest $N=1$ spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The worldsheet symmetry algebra is a twisted and truncated ``small'' $N=4$ superconformal algebra. The realisation of the symmetry algebra is reducible with an infinite order of reducibility. We study the physical states of the theory by two different methods. In one of them, we identify a subset of irreducible constraints, which is by itself critical. We construct the BRST operator for the irreducible constraints, and study the cohomology and interactions. This method breaks the $SO(2,2)$ spacetime symmetry of the original reducible theory. In another approach, we study the theory in a fully covariant manner, which involves the introduction of infinitely many ghosts for ghosts.

7.960562

7.922318

10.043415

7.771493

8.315943

7.645365

8.14605

7.786838

7.597431

10.11459

7.637451

8.014197

8.467766

7.855287

7.874892

7.80225

7.892756

7.914082

8.154381

8.636334

7.807732

1901.06454

Alejandro Satz

Eugenio Bianchi and Alejandro Satz

Entropy of a subalgebra of observables and the geometric entanglement entropy

21 pages, 4 figures

Phys. Rev. D 99, 085001 (2019)

10.1103/PhysRevD.99.085001

null

hep-th gr-qc quant-ph

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

The geometric entanglement entropy of a quantum field in the vacuum state is known to be divergent and, when regularized, to scale as the area of the boundary of the region. Here we introduce an operational definition of the entropy of the vacuum restricted to a region: we consider a subalgebra of observables that has support in the region and a finite resolution. We then define the entropy of a state restricted to this subalgebra. For Gaussian states, such as the vacuum of a free scalar field, we discuss how this entropy can be computed. In particular we show that for a spherical region we recover an area law under a suitable refinement of the subalgebra.

[ { "created": "Sat, 19 Jan 2019 01:47:53 GMT", "version": "v1" } ]

2019-04-10

[ [ "Bianchi", "Eugenio", "" ], [ "Satz", "Alejandro", "" ] ]

The geometric entanglement entropy of a quantum field in the vacuum state is known to be divergent and, when regularized, to scale as the area of the boundary of the region. Here we introduce an operational definition of the entropy of the vacuum restricted to a region: we consider a subalgebra of observables that has support in the region and a finite resolution. We then define the entropy of a state restricted to this subalgebra. For Gaussian states, such as the vacuum of a free scalar field, we discuss how this entropy can be computed. In particular we show that for a spherical region we recover an area law under a suitable refinement of the subalgebra.

6.313862

6.297301

6.228765

6.013969

6.024263

5.798623

6.70964

6.049983

5.834558

6.046408

5.9538

6.254726

6.173694

6.088675

6.139161

6.311113

6.102998

6.116514

6.275103

6.013821

5.995041

1902.07205

Timothy Trott

Aidan Herderschee, Seth Koren, Timothy Trott

Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes

v2: Minor improvements to discussion

null

10.1007/JHEP08(2019)107

null

hep-th hep-ph

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

We study scattering amplitudes of massive BPS states on the Coulomb branch of $4d$ $\mathcal{N}=4$ super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes.

[ { "created": "Tue, 19 Feb 2019 18:59:59 GMT", "version": "v1" }, { "created": "Tue, 17 Sep 2019 21:51:24 GMT", "version": "v2" } ]

2019-10-02

[ [ "Herderschee", "Aidan", "" ], [ "Koren", "Seth", "" ], [ "Trott", "Timothy", "" ] ]

We study scattering amplitudes of massive BPS states on the Coulomb branch of $4d$ $\mathcal{N}=4$ super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes.

7.730551

7.055261

7.80004

6.922522

7.203513

7.678854

7.26581

7.499158

6.919311

9.086124

7.072515

7.414516

7.883225

7.302943

7.217974

7.248479

7.233763

7.266932

7.208055

7.864015

7.242373

2012.13358

Efra\'in Rojas Marcial

Alberto Molgado and Efrain Rojas

Hamiltonian dynamics of gonihedric string theory

24 pages, 1 figure

Int. J. Mod. Phys. A 36 2150035 (2021)

10.1142/S0217751X21500354

null

hep-th

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

We develop in a consistent manner the Ostrogradski-Hamilton framework for gonihedric string theory. The local action describing this model, being invariant under reparametrizations, depends on the modulus of the mean extrinsic curvature of the worldsheet swept out by the string, and thus we are confronted with a genuine second-order in derivatives field theory. In our geometric approach, we consider the embedding functions as the field variables and, even though the highly non-linear dependence of the action on these variables, we are able to complete the classical analysis of the emerging constraints for which, after implementing a Dirac bracket, we are able to identify both the gauge transformations and the proper physical degrees of freedom of the model. The Ostrogradski-Hamilton framework is thus considerable robust as one may recover in a straightforward and consistent manner some existing results reported in the literature. Further, in consequence of our geometrical treatment, we are able to unambiguously recover as a by-product the Hamiltonian approach for a particular relativistic point-particle limit associated with the gonihedric string action, that is, a model linearly depending on the first Frenet-Serret curvature.

[ { "created": "Thu, 24 Dec 2020 17:43:50 GMT", "version": "v1" } ]

2021-03-09

[ [ "Molgado", "Alberto", "" ], [ "Rojas", "Efrain", "" ] ]

We develop in a consistent manner the Ostrogradski-Hamilton framework for gonihedric string theory. The local action describing this model, being invariant under reparametrizations, depends on the modulus of the mean extrinsic curvature of the worldsheet swept out by the string, and thus we are confronted with a genuine second-order in derivatives field theory. In our geometric approach, we consider the embedding functions as the field variables and, even though the highly non-linear dependence of the action on these variables, we are able to complete the classical analysis of the emerging constraints for which, after implementing a Dirac bracket, we are able to identify both the gauge transformations and the proper physical degrees of freedom of the model. The Ostrogradski-Hamilton framework is thus considerable robust as one may recover in a straightforward and consistent manner some existing results reported in the literature. Further, in consequence of our geometrical treatment, we are able to unambiguously recover as a by-product the Hamiltonian approach for a particular relativistic point-particle limit associated with the gonihedric string action, that is, a model linearly depending on the first Frenet-Serret curvature.

11.61077

10.458574

11.775311

10.742973

11.566715

10.891587

11.510476

10.877385

11.429214

12.790668

11.199963

11.043014

11.375809

10.860015

11.215783

11.013287

11.207868

10.863519

11.318627

11.389848

11.123428

hep-th/0304268

Richard Szabo

L.D. Paniak and R.J. Szabo

Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization

33 pages, 3 figures, uses svmult.cls; Based on invited lectures given by the second author at the ``International Workshop on Quantum Field Theory and Noncommutative Geometry'', November 26-30 2002, Tohoku University, Sendai, Japan; To be published in the proceedings by Springer-Verlag as Lecture Notes in Physics

null

10.1007/11342786_12

MCTP-03-20, HWM-03-7, EMPG-03-08

hep-th

null

These notes comprise the second part of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. Here we shall deal with the quantum field theory. Topics covered include an investigation of the symmetries of quantum gauge theory on the noncommutative torus within the path integral formalism, the derivation of the exact expression for the vacuum amplitude, and the classification of instanton contributions. A section dealing with a new, exact combinatorial solution of gauge theory on a two-dimensional fuzzy torus is also included.

[ { "created": "Wed, 30 Apr 2003 17:21:05 GMT", "version": "v1" } ]

2015-06-26

[ [ "Paniak", "L. D.", "" ], [ "Szabo", "R. J.", "" ] ]

These notes comprise the second part of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. Here we shall deal with the quantum field theory. Topics covered include an investigation of the symmetries of quantum gauge theory on the noncommutative torus within the path integral formalism, the derivation of the exact expression for the vacuum amplitude, and the classification of instanton contributions. A section dealing with a new, exact combinatorial solution of gauge theory on a two-dimensional fuzzy torus is also included.

9.399944

7.879016

9.471919

7.725865

7.802778

7.85861

7.488818

7.956026

7.789631

9.7354

8.284982

7.921319

9.009962

8.248711

8.345617

8.008163

8.098347

8.136677

8.218754

9.044572

8.086765

hep-th/9403010

Evan Reidell

R. Jackiw and V. P. Nair

Comment on "Anyon in an external electromagnetic field: Hamiltonian and Lagrangian formulations"

(hep-th/9309151), 3 pages in plain TeX, MIT-CTP-2284

Phys.Rev.Lett.73:2007-2008,1994

10.1103/PhysRevLett.73.2007

null

hep-th

null

In their recent letter, Chaichian et.~al. present a Lagrangian for a massive ($m$) point particle on the plane, with which they claim to realize anyon statistics. However, we find that there are some inaccuracies in their formulation and, when these are taken care of, well-known results are reproduced, which already exist in the literature.

[ { "created": "Wed, 2 Mar 1994 13:56:48 GMT", "version": "v1" } ]

2010-01-05

[ [ "Jackiw", "R.", "" ], [ "Nair", "V. P.", "" ] ]

In their recent letter, Chaichian et.~al. present a Lagrangian for a massive ($m$) point particle on the plane, with which they claim to realize anyon statistics. However, we find that there are some inaccuracies in their formulation and, when these are taken care of, well-known results are reproduced, which already exist in the literature.

14.538008

12.884524

12.006113

10.81145

11.977302

11.458281

11.49644

11.690156

11.764971

13.775194

10.348082

10.729844

11.516941

10.859091

10.893115

11.48874

10.437381

11.37173

11.22042

12.234643

10.958338

hep-th/0107009

Bernard Julia

Bernard L. Julia

Supergravities from fields to branes

Invited Talk presented at the International Congress on Mathematical Physics, London July 17-22, 2000. 7 pages LateX

null

LPT-ENS/01-33

hep-th

null

The quest for unification of particles and fields and for reconciliation of Quantum Mechanics and General Relativity has led us to gauge theories, string theories, supersymmetry and higher-extended objects: membranes... Our spacetime is quantum mechanical but it admits semiclassical descriptions of various ``complementary'' kinds that could be valid approximations in various circumstances. One of them might be supergravity in 11 dimensions the largest known interacting theory of a finite number of fields with gauged Poincar\' e supersymmetry. Its solitons and their dual membranes would be states in its quantum version called M-theory. We shall review the construction of its classical action by deformation of a globally supersymmetric free theory and its on-shell superspace formulation. Then we shall focus on the bosonic matter equations of the dimensional reductions on tori of dimensions 1 to 8 to exhibit their common self-duality nature. In the concluding section we shall discuss possible remnants at the quantum level and beyond the massless sector of generalised discrete U-dualities. We shall also comment on the variable dimension of spacetime descriptions and on the possibility of extending the self dual description to spacetime itself and its metric.

[ { "created": "Mon, 2 Jul 2001 08:31:57 GMT", "version": "v1" } ]

2007-05-23

[ [ "Julia", "Bernard L.", "" ] ]

The quest for unification of particles and fields and for reconciliation of Quantum Mechanics and General Relativity has led us to gauge theories, string theories, supersymmetry and higher-extended objects: membranes... Our spacetime is quantum mechanical but it admits semiclassical descriptions of various ``complementary'' kinds that could be valid approximations in various circumstances. One of them might be supergravity in 11 dimensions the largest known interacting theory of a finite number of fields with gauged Poincar\' e supersymmetry. Its solitons and their dual membranes would be states in its quantum version called M-theory. We shall review the construction of its classical action by deformation of a globally supersymmetric free theory and its on-shell superspace formulation. Then we shall focus on the bosonic matter equations of the dimensional reductions on tori of dimensions 1 to 8 to exhibit their common self-duality nature. In the concluding section we shall discuss possible remnants at the quantum level and beyond the massless sector of generalised discrete U-dualities. We shall also comment on the variable dimension of spacetime descriptions and on the possibility of extending the self dual description to spacetime itself and its metric.

17.641148

18.915018

20.119896

18.826418

21.86212

20.072496

19.537144

19.058683

18.765993

21.335653

17.451899

18.105747

18.370558

16.987299

17.300196

17.682114

17.680553

17.159496

17.138485

17.443989

17.282333

hep-th/0005041

Jacov Portnoy

E.I. Guendelman

Strings and branes with a modified measure

null

Class.Quant.Grav. 17 (2000) 3673-3680

10.1088/0264-9381/17/18/306

null

hep-th

null

In string theory, the consequences of replacing the measure of integration $\sqrt{-\gamma}d^2 x$ in the Polyakov's action by $\Phi d^2 x$ where $\Phi$ is a density built out of degrees of freedom independent of the metric $\gamma_{ab}$ defined in the string are studied. The string tension appears as an integration constant of the equations of motion. The string tension can change in different parts of the string due to the coupling of gauge fields and point particles living in the string. The generalization to higher dimensional extended objects is also studied. In this case there is no need of a fine tuned cosmological term, in sharp contrast to the standard formulation of the generalized Polyakov action for higher dimensional branes.

[ { "created": "Thu, 4 May 2000 10:49:15 GMT", "version": "v1" }, { "created": "Sun, 7 May 2000 09:29:52 GMT", "version": "v2" } ]

2009-10-31

[ [ "Guendelman", "E. I.", "" ] ]

In string theory, the consequences of replacing the measure of integration $\sqrt{-\gamma}d^2 x$ in the Polyakov's action by $\Phi d^2 x$ where $\Phi$ is a density built out of degrees of freedom independent of the metric $\gamma_{ab}$ defined in the string are studied. The string tension appears as an integration constant of the equations of motion. The string tension can change in different parts of the string due to the coupling of gauge fields and point particles living in the string. The generalization to higher dimensional extended objects is also studied. In this case there is no need of a fine tuned cosmological term, in sharp contrast to the standard formulation of the generalized Polyakov action for higher dimensional branes.

9.129665

7.788979

8.482745

7.485823

8.064254

7.982576

7.762015

7.847451

8.056853

9.417222

7.919172

7.954531

8.192142

7.836368

7.979296

7.784798

7.889001

7.764729

8.221852

8.191789

8.074308

1103.2182

Eduardo Rodr\'iguez

Fernando Izaurieta, Eduardo Rodr\'iguez

On eleven-dimensional Supergravity and Chern-Simons theory

v1: 16 pages, no figures. v2: updated references and minor corrections. v3: 10 pages, no figures. Paper fully rewritten; results and conclusions unchanged. v4: 13 pages, no figures. Some minor changes and improved bibliography. Version accepted for publication in NPB

null

10.1016/j.nuclphysb.2011.10.012

null

hep-th math-ph math.MP

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

We probe in some depth into the structure of eleven-dimensional, osp(32|1)-based Chern-Simons supergravity, as put forward by Troncoso and Zanelli (TZ) in 1997. We find that the TZ Lagrangian may be cast as a polynomial in 1/l, where l is a length, and compute explicitly the first three dominant terms. The term proportional to 1/l^9 turns out to be essentially the Lagrangian of the standard 1978 supergravity theory of Cremmer, Julia and Scherk, thus establishing a previously unknown relation between the two theories. The computation is nontrivial because, when written in a sufficiently explicit way, the TZ Lagrangian has roughly one thousand non-explicitly Lorentz-covariant terms. Specially designed algebraic techniques are used to accomplish the results.

[ { "created": "Fri, 11 Mar 2011 01:49:43 GMT", "version": "v1" }, { "created": "Wed, 16 Mar 2011 20:49:24 GMT", "version": "v2" }, { "created": "Sat, 15 Oct 2011 22:11:08 GMT", "version": "v3" }, { "created": "Tue, 25 Oct 2011 15:38:25 GMT", "version": "v4" } ]

2011-10-26

[ [ "Izaurieta", "Fernando", "" ], [ "Rodríguez", "Eduardo", "" ] ]

We probe in some depth into the structure of eleven-dimensional, osp(32|1)-based Chern-Simons supergravity, as put forward by Troncoso and Zanelli (TZ) in 1997. We find that the TZ Lagrangian may be cast as a polynomial in 1/l, where l is a length, and compute explicitly the first three dominant terms. The term proportional to 1/l^9 turns out to be essentially the Lagrangian of the standard 1978 supergravity theory of Cremmer, Julia and Scherk, thus establishing a previously unknown relation between the two theories. The computation is nontrivial because, when written in a sufficiently explicit way, the TZ Lagrangian has roughly one thousand non-explicitly Lorentz-covariant terms. Specially designed algebraic techniques are used to accomplish the results.

8.825173

9.263756

9.195511

8.729722

9.844913

9.191287

9.219514

8.547364

9.082195

10.07747

8.850898

8.383434

8.435898

8.594823

8.371724

8.439692

8.216338

8.156853

8.330638

8.465487

8.182478

1405.6185

Stefano Giusto

Stefano Giusto, Rodolfo Russo

Entanglement Entropy and D1-D5 geometries

20 pages; v2: clarifications on the holographic computation and comments on the non-static cases added, references updated; v3: corrected typos

Phys. Rev. D 90, 066004 (2014)

10.1103/PhysRevD.90.066004

null

hep-th

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

In Conformal Field Theories with a gravitational AdS dual it is possible to calculate the entanglement entropy of a region $A$ holographically by using the Ryu-Takayanagi formula. In this work we consider systems that are in a pure state that is not the vacuum. We study in particular the 2D Conformal Field Theory dual to type IIB string theory on AdS$_3 \times S^3 \times T^4$ and focus on the $1/4$-BPS states described holographically by the 2-charge microstate geometries. We discuss a general prescription for the calculation of the entanglement entropy in these geometries that are asymptotically AdS$_3 \times S^3$. In particular we study analytically the perturbative expansion for a single, short interval: we show that the first non-trivial terms in this expansion are consistent with the expected CFT structure and with previous results on the vevs of chiral primary operators for the $1/4$-BPS configurations.

[ { "created": "Fri, 23 May 2014 19:25:21 GMT", "version": "v1" }, { "created": "Sun, 15 Jun 2014 13:43:10 GMT", "version": "v2" }, { "created": "Fri, 3 Jul 2015 14:07:31 GMT", "version": "v3" } ]

2015-07-06

[ [ "Giusto", "Stefano", "" ], [ "Russo", "Rodolfo", "" ] ]

In Conformal Field Theories with a gravitational AdS dual it is possible to calculate the entanglement entropy of a region $A$ holographically by using the Ryu-Takayanagi formula. In this work we consider systems that are in a pure state that is not the vacuum. We study in particular the 2D Conformal Field Theory dual to type IIB string theory on AdS$_3 \times S^3 \times T^4$ and focus on the $1/4$-BPS states described holographically by the 2-charge microstate geometries. We discuss a general prescription for the calculation of the entanglement entropy in these geometries that are asymptotically AdS$_3 \times S^3$. In particular we study analytically the perturbative expansion for a single, short interval: we show that the first non-trivial terms in this expansion are consistent with the expected CFT structure and with previous results on the vevs of chiral primary operators for the $1/4$-BPS configurations.

5.398926

4.966685

5.618815

4.771008

4.962595

4.754402

5.055471

4.895634

4.934008

6.112722

4.938161

5.053474

5.414578

4.939356

5.031169

4.847508

4.976893

4.869254

4.963097

5.362918

4.912607

hep-th/0511064

Kazumi Okuyama

1/2 BPS Correlator and Free Fermion

10 pages, 2 figures, lanlmac; v4: references added

JHEP0601:021,2006

10.1088/1126-6708/2006/01/021

null

hep-th

null

We propose that in the BMN limit the effective interaction vertex in the 1/2 BPS sector of N=4 SYM is given by the Das-Jevicki-Sakita Hamiltonian. We check for some examples that it reproduces the 1/N correction to the correlation functions of 1/2 BPS operators.

[ { "created": "Sat, 5 Nov 2005 18:12:05 GMT", "version": "v1" }, { "created": "Wed, 9 Nov 2005 20:05:49 GMT", "version": "v2" }, { "created": "Fri, 11 Nov 2005 02:58:09 GMT", "version": "v3" }, { "created": "Thu, 24 Nov 2005 16:38:06 GMT", "version": "v4" } ]

2009-11-11

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

We propose that in the BMN limit the effective interaction vertex in the 1/2 BPS sector of N=4 SYM is given by the Das-Jevicki-Sakita Hamiltonian. We check for some examples that it reproduces the 1/N correction to the correlation functions of 1/2 BPS operators.

8.098295

5.815129

9.152279

6.357224

6.177772

5.810732

6.416889

6.047772

6.193351

9.673762

5.791928

6.965005

8.496179

7.049164

6.660712

6.518516

6.548379

6.86177

7.475538

7.950737

6.68315

hep-th/9304019

Zsolt Bajnok

Z. Bajnok

$C_2$ Toda theory in the reduced WZNW framework

26 pages, TeX, ITP Budapest 501, minor modifications

Int. J. Mod. Phys. A9 (1994) 5387-5408

10.1142/S0217751X94002168

null

hep-th

null

We consider the $C_2$ Toda theory in the reduced WZNW framework. Analysing the classical representation space of the symmetry algebra (which is the corresponding $C_2$ $W$ algebra) we determine its classical highest weight representations. We quantise the model promoting only the relevant quantities to operators. Using the quantised equation of motion we determine the selection rules for the $u$ field that corresponds to one of the Toda fields and give restrictions for its amplitude functions and for the structure of the Hilbert space of the model.

[ { "created": "Tue, 6 Apr 1993 17:09:00 GMT", "version": "v1" }, { "created": "Thu, 22 Apr 1993 11:38:33 GMT", "version": "v2" }, { "created": "Sun, 6 Mar 1994 23:25:08 GMT", "version": "v3" } ]

2009-10-22

[ [ "Bajnok", "Z.", "" ] ]

We consider the $C_2$ Toda theory in the reduced WZNW framework. Analysing the classical representation space of the symmetry algebra (which is the corresponding $C_2$ $W$ algebra) we determine its classical highest weight representations. We quantise the model promoting only the relevant quantities to operators. Using the quantised equation of motion we determine the selection rules for the $u$ field that corresponds to one of the Toda fields and give restrictions for its amplitude functions and for the structure of the Hilbert space of the model.

16.190319

14.922126

16.421902

14.81385

15.536024

15.383981

14.842324

15.983042

15.034613

18.422564

14.38245

14.48042

15.224822

14.275906

14.85968

14.687622

15.050357

14.594236

14.691029

15.349563

13.921303

1308.3270

Andrei Barvinsky

Andrei O. Barvinsky

BRST technique for the cosmological density matrix

13 pages, LaTeX

null

10.1007/JHEP10(2013)051

null

hep-th gr-qc

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

The microcanonical density matrix in closed cosmology has a natural definition as a projector on the space of solutions of Wheeler-DeWitt equations, which is motivated by the absence of global non-vanishing charges and energy in spatially closed gravitational systems. Using the BRST/BFV formalism in relativistic phase space of gauge and ghost variables we derive the path integral representation for this projector and the relevant statistical sum. This derivation circumvents the difficulties associated with the open algebra of noncommutative quantum Dirac constraints and the construction/regularization of the physical inner product in the subspace of BRS singlets. This inner product is achieved via the Batalin-Marnelius gauge fixing in the space of BRS-invariant states, which in its turn is shown to be a result of truncation of the BRST/BFV formalism to the "matter" sector of relativistic phase space.

[ { "created": "Wed, 14 Aug 2013 22:43:44 GMT", "version": "v1" } ]

2015-06-16

[ [ "Barvinsky", "Andrei O.", "" ] ]

The microcanonical density matrix in closed cosmology has a natural definition as a projector on the space of solutions of Wheeler-DeWitt equations, which is motivated by the absence of global non-vanishing charges and energy in spatially closed gravitational systems. Using the BRST/BFV formalism in relativistic phase space of gauge and ghost variables we derive the path integral representation for this projector and the relevant statistical sum. This derivation circumvents the difficulties associated with the open algebra of noncommutative quantum Dirac constraints and the construction/regularization of the physical inner product in the subspace of BRS singlets. This inner product is achieved via the Batalin-Marnelius gauge fixing in the space of BRS-invariant states, which in its turn is shown to be a result of truncation of the BRST/BFV formalism to the "matter" sector of relativistic phase space.

11.137875

12.16738

12.720688

10.977307

11.635039

10.908737

11.784544

10.754759

10.414261

13.478617

10.813236

10.583893

10.746428

10.249238

10.865304

10.344694

10.098624

10.475126

10.121052

10.672095

10.233715

1503.06003

Qiang Wen

The Non-integrable Mass and the Scalar Charge

11 pages, 1 figure

null

hep-th

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

The non-integrable mass is studied explicitly in this paper. We study Einstein-scalar gravities with weakened boundary conditions, and calculate the mass with the Hamiltonian formula and Wald's formula respectively. We find the masses calculated by these two formulas are non-integrable. One way to solve this non-integrability problem is to impose boundary conditions; however, we find the mass calculated in this way has many other problems. This implies the macroscopic thermodynamic properties of the scalar hairy black holes should be described by one more charge beside the mass, which we call a scalar charge. In fact, the non-integrability of mass will always arise when the matter fields have charges which is not associate to any diffeomorphisms of spacetime. We find the mass becomes non-integrable just because Wald's formula is used in a wrong way. Based on Wald's formula and the existence of the scalar charge, we propose a new definition for mass, with the modification that we require the variation of the Hamiltonian to have no contribution from the variation of the other charges. This new definition is also valid for much more general gravities coupled to matter fields with other charges.

[ { "created": "Fri, 20 Mar 2015 06:41:49 GMT", "version": "v1" }, { "created": "Fri, 20 Nov 2015 14:12:40 GMT", "version": "v2" } ]

2015-11-23

[ [ "Wen", "Qiang", "" ] ]

The non-integrable mass is studied explicitly in this paper. We study Einstein-scalar gravities with weakened boundary conditions, and calculate the mass with the Hamiltonian formula and Wald's formula respectively. We find the masses calculated by these two formulas are non-integrable. One way to solve this non-integrability problem is to impose boundary conditions; however, we find the mass calculated in this way has many other problems. This implies the macroscopic thermodynamic properties of the scalar hairy black holes should be described by one more charge beside the mass, which we call a scalar charge. In fact, the non-integrability of mass will always arise when the matter fields have charges which is not associate to any diffeomorphisms of spacetime. We find the mass becomes non-integrable just because Wald's formula is used in a wrong way. Based on Wald's formula and the existence of the scalar charge, we propose a new definition for mass, with the modification that we require the variation of the Hamiltonian to have no contribution from the variation of the other charges. This new definition is also valid for much more general gravities coupled to matter fields with other charges.

10.017783

10.218762

10.024091

9.430551

9.912149

10.622797

10.185975

10.365909

9.888902

10.972241

9.780602

10.213318

10.125977

9.845267

10.054958

10.164508

10.263283

10.093386

10.186789

10.10357

9.644504

1409.1799

Santiago Codesido Sanchez

Santiago Codesido, Alba Grassi and Marcos Marino

Exact results in N=8 Chern-Simons-matter theories and quantum geometry

37 pages, 6 figures, typos corrected, clarifications added

null

hep-th math-ph math.MP

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

We show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically. Due to this simplification, we are able to write closed form expressions for the grand potential of these theories, which determines the full large N asymptotics. Moreover, we find explicit formulae for the generating functionals of their partition functions, for all values of the rank N of the gauge group: they involve Jacobi theta functions on the spectral curve associated to the planar limit. Exact quantization conditions for the spectral problem of the Fermi gas are then obtained from the vanishing of the theta function. We also show that the partition function, as a function of N, can be extended in a natural way to an entire function on the full complex plane, and we explore some possible consequences of this fact for the quantum geometry of M-theory and for putative de Sitter extensions.

[ { "created": "Fri, 5 Sep 2014 13:50:19 GMT", "version": "v1" }, { "created": "Thu, 25 Jun 2015 13:56:20 GMT", "version": "v2" } ]

2015-06-26

[ [ "Codesido", "Santiago", "" ], [ "Grassi", "Alba", "" ], [ "Marino", "Marcos", "" ] ]

We show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically. Due to this simplification, we are able to write closed form expressions for the grand potential of these theories, which determines the full large N asymptotics. Moreover, we find explicit formulae for the generating functionals of their partition functions, for all values of the rank N of the gauge group: they involve Jacobi theta functions on the spectral curve associated to the planar limit. Exact quantization conditions for the spectral problem of the Fermi gas are then obtained from the vanishing of the theta function. We also show that the partition function, as a function of N, can be extended in a natural way to an entire function on the full complex plane, and we explore some possible consequences of this fact for the quantum geometry of M-theory and for putative de Sitter extensions.

8.014024

7.994938

9.816679

7.606355

7.673142

7.26245

8.429183

8.230564

7.590214

10.087008

7.77549

7.748119

7.990292

7.501417

7.681886

7.486212

7.639786

7.541326

7.627828

8.027525

7.637233

hep-th/0607202

Gabriel Cardoso

Gabriel Lopes Cardoso, Viviane Grass, Dieter Lust and Jan Perz

Extremal non-BPS black holes and entropy extremization

19 pages, 4 figures, AMS-LaTeX, reference added

JHEP 0609:078,2006

10.1088/1126-6708/2006/09/078

LMU-ASC 47/06, MPP-2006-88

hep-th

null

At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization conditions for the black hole potential or, equivalently, for the entropy function. We contrast both methods by explicitly solving the attractor equations for a one-modulus prepotential associated with the conifold. We find that near the conifold point, the non-supersymmetric solution has a substantially different behavior than the supersymmetric solution. We analyze the stability of the solutions and the extrema of the resulting entropy as a function of the modulus. For the non-BPS solution the region of attractivity and the maximum of the entropy do not coincide with the conifold point.

[ { "created": "Tue, 25 Jul 2006 19:51:43 GMT", "version": "v1" }, { "created": "Tue, 26 Sep 2006 16:53:52 GMT", "version": "v2" } ]

2009-10-07

[ [ "Cardoso", "Gabriel Lopes", "" ], [ "Grass", "Viviane", "" ], [ "Lust", "Dieter", "" ], [ "Perz", "Jan", "" ] ]

At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization conditions for the black hole potential or, equivalently, for the entropy function. We contrast both methods by explicitly solving the attractor equations for a one-modulus prepotential associated with the conifold. We find that near the conifold point, the non-supersymmetric solution has a substantially different behavior than the supersymmetric solution. We analyze the stability of the solutions and the extrema of the resulting entropy as a function of the modulus. For the non-BPS solution the region of attractivity and the maximum of the entropy do not coincide with the conifold point.

8.786863

7.78445

8.750341

7.81987

8.346747

8.521982

7.723075

7.585495

7.990892

9.113418

7.956772

7.778323

8.336517

7.827244

7.955236

7.581361

7.626388

7.699195

7.801195

8.204577

7.697079

1604.05629

Suzanne Lan\'ery

Projective Limits of State Spaces: Quantum Field Theory without a Vacuum

14 pages, 3 figures

null

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

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

Instead of formulating the states of a Quantum Field Theory (QFT) as density matrices over a single large Hilbert space, it has been proposed by Kijowski [Kijowski, 1977] to construct them as consistent families of partial density matrices, the latter being defined over small 'building block' Hilbert spaces. In this picture, each small Hilbert space can be physically interpreted as extracting from the full theory specific degrees of freedom. This allows to reduce the quantization of a classical field theory to the quantization of finite-dimensional sub-systems, thus sidestepping some of the common ambiguities (specifically, the issues revolving around the choice of a 'vacuum state'), while obtaining robust and well-controlled quantum states spaces. The present letter provides a self-contained introduction to this formalism, detailing its motivations as well as its relations to other approaches to QFT (such as conventional Fock-like Hilbert spaces, path-integral quantization, and the algebraic formulation). At the same time, it can serve as a reading guide to the series of more in-depth articles [arXiv:1411.3589, arXiv:1411.3590, arXiv:1411.3591, arXiv:1510.01926].

[ { "created": "Tue, 19 Apr 2016 15:33:34 GMT", "version": "v1" } ]

2016-04-20

[ [ "Lanéry", "Suzanne", "" ] ]

Instead of formulating the states of a Quantum Field Theory (QFT) as density matrices over a single large Hilbert space, it has been proposed by Kijowski [Kijowski, 1977] to construct them as consistent families of partial density matrices, the latter being defined over small 'building block' Hilbert spaces. In this picture, each small Hilbert space can be physically interpreted as extracting from the full theory specific degrees of freedom. This allows to reduce the quantization of a classical field theory to the quantization of finite-dimensional sub-systems, thus sidestepping some of the common ambiguities (specifically, the issues revolving around the choice of a 'vacuum state'), while obtaining robust and well-controlled quantum states spaces. The present letter provides a self-contained introduction to this formalism, detailing its motivations as well as its relations to other approaches to QFT (such as conventional Fock-like Hilbert spaces, path-integral quantization, and the algebraic formulation). At the same time, it can serve as a reading guide to the series of more in-depth articles [arXiv:1411.3589, arXiv:1411.3590, arXiv:1411.3591, arXiv:1510.01926].

7.299274

7.870396

7.078509

7.059315

8.050587

7.926565

7.825644

7.286544

7.352335

7.708621

7.160046

7.272556

7.197358

7.168713

7.200588

7.179288

7.37845

7.254919

7.291144

7.216923

7.081786

hep-th/9811109

Larisa Jonke

Ivan Andric, Velimir Bardek, Larisa Jonke (Rudjer Boskovic Institute, Croatia)

Quantum fluctuations of the Chern-Simons theory and dynamical dimensional reduction

10 pages, 2 figures

Phys.Rev. D59 (1999) 107702

10.1103/PhysRevD.59.107702

IRB-TH-7/98

hep-th

null

We consider a large-N Chern-Simons theory for the attractive bosonic matter (Jackiw-Pi model) in the Hamiltonian collective-field approach based on the 1/N expansion. We show that the dynamics of low-lying density excitations around the ground-state vortex configuration is equivalent to that of the Sutherland model. The relationship between the Chern-Simons coupling constant lambda and the Calogero-Sutherland statistical parameter lambda_s signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.

[ { "created": "Thu, 12 Nov 1998 11:31:18 GMT", "version": "v1" } ]

2009-10-31

[ [ "Andric", "Ivan", "", "Rudjer Boskovic Institute,\n Croatia" ], [ "Bardek", "Velimir", "", "Rudjer Boskovic Institute,\n Croatia" ], [ "Jonke", "Larisa", "", "Rudjer Boskovic Institute,\n Croatia" ] ]

We consider a large-N Chern-Simons theory for the attractive bosonic matter (Jackiw-Pi model) in the Hamiltonian collective-field approach based on the 1/N expansion. We show that the dynamics of low-lying density excitations around the ground-state vortex configuration is equivalent to that of the Sutherland model. The relationship between the Chern-Simons coupling constant lambda and the Calogero-Sutherland statistical parameter lambda_s signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.

15.500525

13.500008

16.52779

13.927063

14.487217

15.284188

14.977348

14.05698

13.060043

21.957064

13.089848

14.620224

15.291929

14.487756

15.258614

14.408872

14.351287

14.140586

14.121964

15.96606

14.494433

0807.4540

Fernando Marchesano

Dieter Lust, Fernando Marchesano, Luca Martucci and Dimitrios Tsimpis

Generalized non-supersymmetric flux vacua

95 pages, minor changes

null

10.1088/1126-6708/2008/11/021

MPP-2008-87, LMU-ASC 41/08, CERN-PH-TH/2008-162

hep-th

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

We discuss a novel strategy to construct 4D N=0 stable flux vacua of type II string theory, based on the existence of BPS bounds for probe D-branes in some of these backgrounds. In particular, we consider compactifications where D-branes filling the 4D space-time obey the same BPS bound as they would in an N=1 compactification, while other D-branes, like those appearing as domain walls from the 4D perspective, can no longer be BPS. We construct a subfamily of such backgrounds giving rise to 4D N=0 Minkowski no-scale vacua, generalizing the well-known case of type IIB on a warped Calabi-Yau. We provide several explicit examples of these constructions, and compute quantities of phenomenological interest like flux-induced soft terms on D-branes. Our results have a natural, simple description in the language of Generalized Complex Geometry, and in particular in terms of D-brane generalized calibrations. Finally, we extend the integrability theorems for 10D supersymmetric type II backgrounds to the N=0 case and use the results to construct a new class of N=0 AdS4 compactifications.

[ { "created": "Tue, 29 Jul 2008 14:37:40 GMT", "version": "v1" }, { "created": "Thu, 28 Aug 2008 13:31:47 GMT", "version": "v2" }, { "created": "Tue, 11 Nov 2008 14:22:35 GMT", "version": "v3" } ]

2009-11-13

[ [ "Lust", "Dieter", "" ], [ "Marchesano", "Fernando", "" ], [ "Martucci", "Luca", "" ], [ "Tsimpis", "Dimitrios", "" ] ]

We discuss a novel strategy to construct 4D N=0 stable flux vacua of type II string theory, based on the existence of BPS bounds for probe D-branes in some of these backgrounds. In particular, we consider compactifications where D-branes filling the 4D space-time obey the same BPS bound as they would in an N=1 compactification, while other D-branes, like those appearing as domain walls from the 4D perspective, can no longer be BPS. We construct a subfamily of such backgrounds giving rise to 4D N=0 Minkowski no-scale vacua, generalizing the well-known case of type IIB on a warped Calabi-Yau. We provide several explicit examples of these constructions, and compute quantities of phenomenological interest like flux-induced soft terms on D-branes. Our results have a natural, simple description in the language of Generalized Complex Geometry, and in particular in terms of D-brane generalized calibrations. Finally, we extend the integrability theorems for 10D supersymmetric type II backgrounds to the N=0 case and use the results to construct a new class of N=0 AdS4 compactifications.

7.78837

7.827375

8.35494

7.263354

7.546869

7.4635

7.802726

7.31983

7.212898

9.660195

7.328197

7.18299

7.629119

7.319909

7.321504

7.307589

7.303184

7.24673

7.258026

7.792291

7.389176

hep-th/9904079

Mark D. Roberts

Symmetry Breaking using Fluids II: Velocity Potential Method

13 pages, no diagrams, one table, LaTex2e

Hadronic J.20:73-83,1997

null

hep-th gr-qc

null

A generalization of scalar electrodynamics called fluid electrodynamics is presented. In this theory a fluid replaces the Higgs scalar field. Fluid electrodynamics might have application to the theory of low temperature Helium superfluids, but here it is argued that it provides an alternative method of approaching symmetry breaking in particle physics. The method of constructing fluid electrodynamics is to start with the velocity decomposition of a perfect fluid as in general relativity. A unit vector tangent to the flow lines of an isentropic fluid can be written in terms of scalar potentials: $V_a=h^{-1}(\ph_a+\al\bt_a-\th S)$. A novel interacting charged fluid can be obtained by applying the covariant derivative: $D_a=\p_a+ieA_a$ to these scalar potentials. This fluid is no longer isentropic and there are choices for which it either obeys the second law of thermodynamics or not. A mass term of the correct sign occurs for the $A$ term in the stress, and this mass term depends on the potentials in the above vector. The charged fluid can be reduced to scalar electrodynamics and the standard approach to symmetry breaking applied; alternatively a mass can be induced by the fluid by using just the thermodynamic potentials and then fixing at a critical point, if this is taken to be the Bose condensation point then the induced mass is negligible.

[ { "created": "Sat, 10 Apr 1999 15:20:38 GMT", "version": "v1" } ]

2011-04-04

[ [ "Roberts", "Mark D.", "" ] ]

A generalization of scalar electrodynamics called fluid electrodynamics is presented. In this theory a fluid replaces the Higgs scalar field. Fluid electrodynamics might have application to the theory of low temperature Helium superfluids, but here it is argued that it provides an alternative method of approaching symmetry breaking in particle physics. The method of constructing fluid electrodynamics is to start with the velocity decomposition of a perfect fluid as in general relativity. A unit vector tangent to the flow lines of an isentropic fluid can be written in terms of scalar potentials: $V_a=h^{-1}(\ph_a+\al\bt_a-\th S)$. A novel interacting charged fluid can be obtained by applying the covariant derivative: $D_a=\p_a+ieA_a$ to these scalar potentials. This fluid is no longer isentropic and there are choices for which it either obeys the second law of thermodynamics or not. A mass term of the correct sign occurs for the $A$ term in the stress, and this mass term depends on the potentials in the above vector. The charged fluid can be reduced to scalar electrodynamics and the standard approach to symmetry breaking applied; alternatively a mass can be induced by the fluid by using just the thermodynamic potentials and then fixing at a critical point, if this is taken to be the Bose condensation point then the induced mass is negligible.

13.373266

14.82433

14.427076

13.428912

14.301646

14.206206

15.042271

14.057708

14.003864

15.417481

13.117597

12.853024

13.212079

13.148623

13.432658

12.856518

13.530765

12.786098

13.439649

12.853502

12.996551

1708.01993

Hironori Hoshino

Hironori Hoshino, Shin Nakamura

Phenomenological Construction of New Dictionaries for Holographic Conductors

null

Phys. Rev. D 96, 066006 (2017)

10.1103/PhysRevD.96.066006

null

hep-th cond-mat.str-el

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

We propose new dictionaries for holographic conductors that enable us to compute carrier densities and mean velocities of charge carriers in the system. The carrier density, which differs from the charge density, is the total number density of both the positive and the negative charge carriers. The mean velocity is the mean value of the velocities of all charge carriers. These quantities are not conjugate to the sources that are given by boundary values of bulk fields, and we cannot compute them by using the conventional method in holography. In the present work, we introduce a phenomenological model of charge transport, and we establish the dictionary by comparing the results of the phenomenological model and those from the holography. We show that the mean velocity agrees with the velocity of an analog black hole on the worldvolume of the probe D-brane, and it can be read from the spectrum of the fluctuations.

[ { "created": "Mon, 7 Aug 2017 05:39:02 GMT", "version": "v1" } ]

2017-09-13

[ [ "Hoshino", "Hironori", "" ], [ "Nakamura", "Shin", "" ] ]

We propose new dictionaries for holographic conductors that enable us to compute carrier densities and mean velocities of charge carriers in the system. The carrier density, which differs from the charge density, is the total number density of both the positive and the negative charge carriers. The mean velocity is the mean value of the velocities of all charge carriers. These quantities are not conjugate to the sources that are given by boundary values of bulk fields, and we cannot compute them by using the conventional method in holography. In the present work, we introduce a phenomenological model of charge transport, and we establish the dictionary by comparing the results of the phenomenological model and those from the holography. We show that the mean velocity agrees with the velocity of an analog black hole on the worldvolume of the probe D-brane, and it can be read from the spectrum of the fluctuations.

8.790595

8.531964

8.535661

8.000727

8.678948

8.647905

7.901566

8.319525

8.713542

9.265669

8.405878

7.728098

8.327607

7.760241

7.901878

7.940549

7.894123

7.785353

7.926042

8.05068

7.989675

0908.2415

Valentin Franke

M.A. Kurkov, V.A. Franke

Local Fields without Restrictions on the Spectrum of 4-Momentum Operator and Relativistic Lindblad Equation

Latex 23 pages, sent to "Foundations of Physics"

Found.Phys.41:820-842,2011

10.1007/s10701-010-9525-0

null

hep-th

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

Quantum theory of Lorentz invariant local scalar fields without restrictions on 4-momentum spectrum is considered. The mass spectrum may be both discrete and continues and the square of mass as well as the energy may be positive or negative. Such fields can exist as part of a hidden matter in the Universe if they interact with ordinary fields very weakly. Generalization of Kallen-Lehmann representation for propagators of these fields is found. The considered generalized fields may violate CPT- invariance. Restrictions on mass-spectrum of CPT-violating fields are found. Local fields that annihilate vacuum state and violate CPT- invariance are constructed in this scope. Correct local relativistic generalization of Lindblad equation for density matrix is written for such fields. This generalization is particulary needed to describe the evolution of quantum system and measurement process in a unique way. Difficulties arising when the field annihilating the vacuum interacts with ordinary fields are discussed.

[ { "created": "Mon, 17 Aug 2009 19:32:46 GMT", "version": "v1" } ]

2011-03-31

[ [ "Kurkov", "M. A.", "" ], [ "Franke", "V. A.", "" ] ]

Quantum theory of Lorentz invariant local scalar fields without restrictions on 4-momentum spectrum is considered. The mass spectrum may be both discrete and continues and the square of mass as well as the energy may be positive or negative. Such fields can exist as part of a hidden matter in the Universe if they interact with ordinary fields very weakly. Generalization of Kallen-Lehmann representation for propagators of these fields is found. The considered generalized fields may violate CPT- invariance. Restrictions on mass-spectrum of CPT-violating fields are found. Local fields that annihilate vacuum state and violate CPT- invariance are constructed in this scope. Correct local relativistic generalization of Lindblad equation for density matrix is written for such fields. This generalization is particulary needed to describe the evolution of quantum system and measurement process in a unique way. Difficulties arising when the field annihilating the vacuum interacts with ordinary fields are discussed.

12.015213

12.61224

11.997748

11.26923

13.684834

11.867602

11.66162

12.668509

11.926612

13.018236

11.828946

11.09032

10.9739

10.957615

11.203878

11.335687

11.394904

11.307234

11.114445

11.450511

11.072999

hep-th/0310052

Karl Landsteiner

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

Chiral field theories from conifolds

34 pages, 8 figures, v2: References added, minor corrections

JHEP 0311 (2003) 057

10.1088/1126-6708/2003/11/057

HU-EP-03/39, IFT-UAM/CSIC-03-37, LBNL-53843, UCB-PTH-03/24

hep-th

null

We discuss the geometric engineering and large n transition for an N=1 U(n) chiral gauge theory with one adjoint, one conjugate symmetric, one antisymmetric and eight fundamental chiral multiplets. Our IIB realization involves an orientifold of a non-compact Calabi-Yau A_2 fibration, together with D5-branes wrapping the exceptional curves of its resolution as well as the orientifold fixed locus. We give a detailed discussion of this background and of its relation to the Hanany-Witten realization of the same theory. In particular, we argue that the T-duality relating the two constructions maps the Z_2 orientifold of the Hanany-Witten realization into a Z_4 orientifold in type IIB. We also discuss the related engineering of theories with SO/Sp gauge groups and symmetric or antisymmetric matter.

[ { "created": "Mon, 6 Oct 2003 12:34:46 GMT", "version": "v1" }, { "created": "Wed, 15 Oct 2003 09:04:14 GMT", "version": "v2" } ]

2009-11-10

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

We discuss the geometric engineering and large n transition for an N=1 U(n) chiral gauge theory with one adjoint, one conjugate symmetric, one antisymmetric and eight fundamental chiral multiplets. Our IIB realization involves an orientifold of a non-compact Calabi-Yau A_2 fibration, together with D5-branes wrapping the exceptional curves of its resolution as well as the orientifold fixed locus. We give a detailed discussion of this background and of its relation to the Hanany-Witten realization of the same theory. In particular, we argue that the T-duality relating the two constructions maps the Z_2 orientifold of the Hanany-Witten realization into a Z_4 orientifold in type IIB. We also discuss the related engineering of theories with SO/Sp gauge groups and symmetric or antisymmetric matter.

7.69347

6.867204

8.925574

6.856929

7.1479

6.841777

6.701408

7.422585

7.341958

9.109207

6.395057

7.314084

8.206798

7.361166

7.033146

7.18015

6.925738

7.082146

7.327321

7.740161

6.878035

1211.0904

Dibakar Roychowdhury

Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections

Latex, 18 pages, references added

Phys Rev D 86, 106009 (2012)

10.1103/PhysRevD.86.106009

null

hep-th cond-mat.supr-con gr-qc

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

In this paper, based on analytic technique, several properties of holographic $ s $-wave superconductors have been investigated in the presence of various higher derivative (\textit{non linear}) corrections to the usual Maxwell action. Explicit expressions for the critical temperature and the condensation values have been obtained in the probe limit. Finally, the nature of condensate solutions have been investigated by immersing the superconductor in an external magnetic field. It is found that below certain critical magnetic field strength ($ B_c $) there exists a superconducting phase. Most importantly it has been observed that the value of this critical field strength ($ B_c $) indeed gets affected due to the presence of higher derivative corrections to the usual Maxwell action.

[ { "created": "Mon, 5 Nov 2012 16:13:37 GMT", "version": "v1" }, { "created": "Tue, 27 Nov 2012 19:34:34 GMT", "version": "v2" } ]

2015-06-12

[ [ "Roychowdhury", "Dibakar", "" ] ]

In this paper, based on analytic technique, several properties of holographic $ s $-wave superconductors have been investigated in the presence of various higher derivative (\textit{non linear}) corrections to the usual Maxwell action. Explicit expressions for the critical temperature and the condensation values have been obtained in the probe limit. Finally, the nature of condensate solutions have been investigated by immersing the superconductor in an external magnetic field. It is found that below certain critical magnetic field strength ($ B_c $) there exists a superconducting phase. Most importantly it has been observed that the value of this critical field strength ($ B_c $) indeed gets affected due to the presence of higher derivative corrections to the usual Maxwell action.

7.900993

5.825674

7.747509

6.234961

6.055749

5.738198

5.711944

5.904459

5.979669

7.902781

6.148903

6.886061

7.827207

7.113479

6.87197

7.015201

6.832934

6.656504

6.796696

7.443851

6.903185

hep-th/9312168

Ergin Sezgin

E. Bergshoeff and E. Sezgin

Twistor-like Formulation of Super p-Branes

20 pages, plain tex, CTP TAMU-67/93, UG-5/93

Nucl.Phys. B422 (1994) 329-348

10.1016/0550-3213(94)00108-1

null

hep-th

null

Closed super (p+2)-forms in target superspace are relevant for the construction of the usual super p-brane actions. Here we construct closed super (p+1)-forms on a {\it worldvolume superspace}. They are built out of the pull-backs of the Kalb-Ramond super (p+1)-form and its curvature. We propose a twistor-like formulation of a class of super p-branes which crucially depends on the existence of these closed super (p+1)-forms.

[ { "created": "Tue, 21 Dec 1993 00:11:33 GMT", "version": "v1" } ]

2009-10-22

[ [ "Bergshoeff", "E.", "" ], [ "Sezgin", "E.", "" ] ]

Closed super (p+2)-forms in target superspace are relevant for the construction of the usual super p-brane actions. Here we construct closed super (p+1)-forms on a {\it worldvolume superspace}. They are built out of the pull-backs of the Kalb-Ramond super (p+1)-form and its curvature. We propose a twistor-like formulation of a class of super p-branes which crucially depends on the existence of these closed super (p+1)-forms.

8.867996

6.496484

8.295732

6.619249

7.360157

6.861052

6.603876

6.904543

6.269475

9.493352

6.391109

7.305862

7.846057

7.167753

6.974137

7.011309

6.970215

6.988816

7.349281

8.390439

7.142874

1006.2341

Andrea Mauri

Matias Leoni and Andrea Mauri

On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace

26 pages, 6 figures, JHEP3; v2: minor corrections and references added; v3: introduction expanded, presentation of section 3.3.1 improved, references added, version to appear in JHEP

JHEP 1011:128,2010

10.1007/JHEP11(2010)128

null

hep-th

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

We discuss the problem of infrared divergences in the N=2 superspace approach to classically marginal three-dimensional Chern-Simons-matter theories. Considering the specific case of ABJM theory, we describe the origin of such divergences and offer a prescription to eliminate them by introducing non-trivial gauge-fixing terms in the action. We also comment on the extension of our procedure to higher loop order and to general three-dimensional Chern-Simons-matter models.

[ { "created": "Fri, 11 Jun 2010 16:17:48 GMT", "version": "v1" }, { "created": "Fri, 2 Jul 2010 15:25:16 GMT", "version": "v2" }, { "created": "Fri, 19 Nov 2010 12:21:32 GMT", "version": "v3" } ]

2010-11-30

[ [ "Leoni", "Matias", "" ], [ "Mauri", "Andrea", "" ] ]

We discuss the problem of infrared divergences in the N=2 superspace approach to classically marginal three-dimensional Chern-Simons-matter theories. Considering the specific case of ABJM theory, we describe the origin of such divergences and offer a prescription to eliminate them by introducing non-trivial gauge-fixing terms in the action. We also comment on the extension of our procedure to higher loop order and to general three-dimensional Chern-Simons-matter models.

6.808782

6.018184

7.398531

5.698402

5.870448

6.362502

6.069684

6.054561

5.677234

7.294919

6.084755

6.147038

6.951667

6.016812

5.98004

6.095119

5.908004

6.046821

6.131773

6.380169

5.991492

hep-th/0508140

Luis Fernando Alday

L. F. Alday, G. Arutyunov, S. Frolov

New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5

35 pages;v2:typos corrected, references added

JHEP0601:078,2006

10.1088/1126-6708/2006/01/078

null

hep-th nlin.SI

null

We consider classical superstrings propagating on AdS_5 x S^5 space-time. We consistently truncate the superstring equations of motion to the so-called su(1|1) sector. By fixing the uniform gauge we show that physical excitations in this sector are described by two complex fermionic degrees of freedom and we obtain the corresponding Lagrangian. Remarkably, this Lagrangian can be cast in a two-dimensional Lorentz-invariant form. The kinetic part of the Lagrangian induces a non-trivial Poisson structure while the Hamiltonian is just the one of the massive Dirac fermion. We find a change of variables which brings the Poisson structure to the canonical form but makes the Hamiltonian nontrivial. The Hamiltonian is derived as an exact function of two parameters: the total S^5 angular momentum J and string tension \lambda; it is a polynomial in 1/J and in \sqrt{\lambda'} where \lambda'=\frac{\lambda}{J^2} is the effective BMN coupling. We identify the string states dual to the gauge theory operators from the closed su(1|1) sector of N=4 SYM and show that the corresponding near-plane wave energy shift computed from our Hamiltonian perfectly agrees with that recently found in the literature. Finally we show that the Hamiltonian is integrable by explicitly constructing the corresponding Lax representation.

[ { "created": "Fri, 19 Aug 2005 13:47:13 GMT", "version": "v1" }, { "created": "Thu, 27 Oct 2005 09:44:14 GMT", "version": "v2" } ]

2009-11-11

[ [ "Alday", "L. F.", "" ], [ "Arutyunov", "G.", "" ], [ "Frolov", "S.", "" ] ]

We consider classical superstrings propagating on AdS_5 x S^5 space-time. We consistently truncate the superstring equations of motion to the so-called su(1|1) sector. By fixing the uniform gauge we show that physical excitations in this sector are described by two complex fermionic degrees of freedom and we obtain the corresponding Lagrangian. Remarkably, this Lagrangian can be cast in a two-dimensional Lorentz-invariant form. The kinetic part of the Lagrangian induces a non-trivial Poisson structure while the Hamiltonian is just the one of the massive Dirac fermion. We find a change of variables which brings the Poisson structure to the canonical form but makes the Hamiltonian nontrivial. The Hamiltonian is derived as an exact function of two parameters: the total S^5 angular momentum J and string tension \lambda; it is a polynomial in 1/J and in \sqrt{\lambda'} where \lambda'=\frac{\lambda}{J^2} is the effective BMN coupling. We identify the string states dual to the gauge theory operators from the closed su(1|1) sector of N=4 SYM and show that the corresponding near-plane wave energy shift computed from our Hamiltonian perfectly agrees with that recently found in the literature. Finally we show that the Hamiltonian is integrable by explicitly constructing the corresponding Lax representation.

6.882392

7.142386

7.975422

6.627638

7.215596

7.124118

6.92173

6.8947

6.784588

8.210812

6.730363

6.510089

7.033564

6.488644

6.643517

6.577895

6.668321

6.409597

6.576962

6.793935

6.61807

1110.6748

Io Kawaguchi

Io Kawaguchi and Kentaroh Yoshida

Hybrid classical integrable structure of squashed sigma models -- a short summary

10 pages, Proceedings of QTS7, Prague, Czech Republic, 2011

null

10.1088/1742-6596/343/1/012055

KUNS-2370

hep-th math-ph math.MP

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

We give a short summary of our recent works on the classical integrable structure of two-dimensional non-linear sigma models defined on squashed three-dimensional spheres. There are two descriptions to describe the classical dynamics, 1) the rational description and 2) the trigonometric description. It is possible to construct two different types of Lax pairs depending on the descriptions, and the classical integrability is shown by computing classical r/s-matrices satisfying the extended Yang-Baxter equation in both descriptions. In the former the system is described as an integrable system of rational type. On the other hand, in the latter it is described as trigonometric type. There exists a non-local map between the two descriptions and those are equivalent. This is a non-local generalization of the left-right duality in principal chiral models.

[ { "created": "Mon, 31 Oct 2011 11:06:04 GMT", "version": "v1" } ]

2015-06-03

[ [ "Kawaguchi", "Io", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We give a short summary of our recent works on the classical integrable structure of two-dimensional non-linear sigma models defined on squashed three-dimensional spheres. There are two descriptions to describe the classical dynamics, 1) the rational description and 2) the trigonometric description. It is possible to construct two different types of Lax pairs depending on the descriptions, and the classical integrability is shown by computing classical r/s-matrices satisfying the extended Yang-Baxter equation in both descriptions. In the former the system is described as an integrable system of rational type. On the other hand, in the latter it is described as trigonometric type. There exists a non-local map between the two descriptions and those are equivalent. This is a non-local generalization of the left-right duality in principal chiral models.

7.839599

6.789732

8.865376

6.804933

8.087442

7.632257

7.377149

6.870315

6.522479

9.134104

6.948731

7.110657

7.530751

7.244008

7.355255

7.437341

7.513761

7.046752

7.118191

8.03178

7.187185

1711.01810

A. Tureanu

Kazuo Fujikawa and Anca Tureanu

Baryon number violation and novel canonical anti-commutation relations

14 pages

null

10.1016/j.physletb.2017.12.034

null

hep-th hep-ph

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

The possible neutron-antineutron oscillation is described by an effective quadratic Lagrangian analogous to the BCS theory. It is shown that the conventional equal-time anti-commutation relations of the neutron variable $n(t,\vec{x})$ are modified by the baryon number violating terms. This is established by the Bjorken--Johnson--Low prescription and also by the canonical quantization combined with equations of motion. This novel canonical behavior can give rise to an important physical effect, which is illustrated by analyzing the Lagrangian that violates the baryon number but gives rise to the degenerate effective Majorana fermions and thus no neutron-antineutron oscillation. Technically, this model is neatly treated using a relativistic analogue of the Bogoliubov transformation.

[ { "created": "Mon, 6 Nov 2017 10:07:14 GMT", "version": "v1" } ]

2018-01-17

[ [ "Fujikawa", "Kazuo", "" ], [ "Tureanu", "Anca", "" ] ]

The possible neutron-antineutron oscillation is described by an effective quadratic Lagrangian analogous to the BCS theory. It is shown that the conventional equal-time anti-commutation relations of the neutron variable $n(t,\vec{x})$ are modified by the baryon number violating terms. This is established by the Bjorken--Johnson--Low prescription and also by the canonical quantization combined with equations of motion. This novel canonical behavior can give rise to an important physical effect, which is illustrated by analyzing the Lagrangian that violates the baryon number but gives rise to the degenerate effective Majorana fermions and thus no neutron-antineutron oscillation. Technically, this model is neatly treated using a relativistic analogue of the Bogoliubov transformation.

12.009958

12.227

11.968265

10.918521

11.740419

12.817975

13.104414

13.47036

11.312155

12.518199

12.212669

11.199431

11.145618

11.189215

11.759729

11.555998

11.464322

11.652241

11.304415

11.501073

11.363106

hep-th/0110099

Tadashi Takayanagi

Tadashi Takayanagi and Tadaoki Uesugi

Orbifolds as Melvin Geometry

Latex, 20 pages, 2 figures, references added, minor corrections

JHEP 0112:004,2001

10.1088/1126-6708/2001/12/004

UT-970

hep-th

null

In this paper we explicitly show that the various noncompact abelian orbifolds are realized as special limits of parameters in type II (NSNS) Melvin background and its higher dimensional generalizations. As a result the supersymmetric ALE spaces (A-type C^2/Z_N) and nonsupersymmetric orbifolds in type II and type 0 theory are all connected with each other by the exactly marginal deformation. Our results provide new examples of the duality between type II and type 0 string theory. We also discuss the decay of unstable backgrounds in this model which include closed string tachyons.

[ { "created": "Wed, 10 Oct 2001 19:51:17 GMT", "version": "v1" }, { "created": "Wed, 24 Oct 2001 08:24:32 GMT", "version": "v2" } ]

2010-02-03

[ [ "Takayanagi", "Tadashi", "" ], [ "Uesugi", "Tadaoki", "" ] ]

In this paper we explicitly show that the various noncompact abelian orbifolds are realized as special limits of parameters in type II (NSNS) Melvin background and its higher dimensional generalizations. As a result the supersymmetric ALE spaces (A-type C^2/Z_N) and nonsupersymmetric orbifolds in type II and type 0 theory are all connected with each other by the exactly marginal deformation. Our results provide new examples of the duality between type II and type 0 string theory. We also discuss the decay of unstable backgrounds in this model which include closed string tachyons.

13.907085

12.180287

14.656352

11.572204

11.426174

12.482311

10.827799

11.217257

10.97306

15.147962

11.716058

11.594082

12.690969

11.814625

11.741841

11.967041

11.788795

11.586604

12.134651

13.32638

12.01158

hep-th/0211030

Tasneem Zehra Husain

M2-branes wrapped on holomorphic curves

Discussion clarified, typos corrected, references updated. Results remain unchanged. 12 pages

JHEP 0312:037,2003

10.1088/1126-6708/2003/12/037

SUITP-02-03

hep-th

null

The generalised calibration for a wrapped membrane is gauge equivalent to the supergravity three-form under which the membrane is electrically charged. Given the relevant calibration, one can go a long way towards constructing the supergravity solution for the wrapped brane. Applications of this method have been restricted since generalised calibrations have not yet been completely classified in spacetimes with non-vanishing flux. In this paper, we take a first step towards such a classification by studying membranes wrapping holomorphic curves. Supersymmetry preservation imposes a constraint on the Hermitean metric in the embedding space and it is found that this can be expressed as a restriction on possible generalised calibrations. Allowed calibrations in a particular spacetime are simply those which satisfy the constraint equation relevant to that background; in particular, we see that the previously considered Kahler calibrations are just a subclass of possible solutions.

[ { "created": "Tue, 5 Nov 2002 16:51:35 GMT", "version": "v1" }, { "created": "Fri, 29 Nov 2002 12:39:15 GMT", "version": "v2" }, { "created": "Thu, 3 Apr 2003 15:36:37 GMT", "version": "v3" }, { "created": "Wed, 12 Nov 2003 13:47:26 GMT", "version": "v4" } ]

2014-11-18

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

The generalised calibration for a wrapped membrane is gauge equivalent to the supergravity three-form under which the membrane is electrically charged. Given the relevant calibration, one can go a long way towards constructing the supergravity solution for the wrapped brane. Applications of this method have been restricted since generalised calibrations have not yet been completely classified in spacetimes with non-vanishing flux. In this paper, we take a first step towards such a classification by studying membranes wrapping holomorphic curves. Supersymmetry preservation imposes a constraint on the Hermitean metric in the embedding space and it is found that this can be expressed as a restriction on possible generalised calibrations. Allowed calibrations in a particular spacetime are simply those which satisfy the constraint equation relevant to that background; in particular, we see that the previously considered Kahler calibrations are just a subclass of possible solutions.

13.291866

11.813581

12.348234

9.907301

10.778464

10.4319

11.399719

10.867511

9.654375

14.847445

10.513392

10.432577

11.526536

10.209805

10.444361

10.631545

10.617079

10.221406

10.034437

11.526133

10.841903

hep-th/0504148

Roberto Auzzi

R. Auzzi, M. Shifman and A. Yung

Studying Boojums in N=2 Theory with Walls and Vortices

23 pages, 11 figures, v2 references added

Phys.Rev. D72 (2005) 025002

10.1103/PhysRevD.72.025002

FTPI-MINN-05/09, UMN-TH-2351/05, ITEP-TH-25/05

hep-th

null

We study 1/2 BPS domain walls, 1/2 BPS flux tubes (strings) and their 1/4 BPS junctions. We consider the simplest example of N=2 Abelian gauge theory with two charged matter hypermultiplets which contains all of the above-listed extended objects. In particular, we focus on string-wall junctions (boojums) and calculate their energy. It turns out to be logarithmically divergent in the infrared domain. We compute this energy first in the (2+1)-dimensional effective theory on the domain wall and then, as a check, obtain the same result from the point of view of (3+1)-dimensional bulk theory. Next, we study interactions of boojums considering all possible geometries of string-wall junctions and directions of the string magnetic fluxes.

[ { "created": "Mon, 18 Apr 2005 22:15:36 GMT", "version": "v1" }, { "created": "Wed, 27 Apr 2005 21:04:16 GMT", "version": "v2" } ]

2009-11-11

[ [ "Auzzi", "R.", "" ], [ "Shifman", "M.", "" ], [ "Yung", "A.", "" ] ]

We study 1/2 BPS domain walls, 1/2 BPS flux tubes (strings) and their 1/4 BPS junctions. We consider the simplest example of N=2 Abelian gauge theory with two charged matter hypermultiplets which contains all of the above-listed extended objects. In particular, we focus on string-wall junctions (boojums) and calculate their energy. It turns out to be logarithmically divergent in the infrared domain. We compute this energy first in the (2+1)-dimensional effective theory on the domain wall and then, as a check, obtain the same result from the point of view of (3+1)-dimensional bulk theory. Next, we study interactions of boojums considering all possible geometries of string-wall junctions and directions of the string magnetic fluxes.

7.200493

6.679571

7.474978

6.362086

6.602051

7.182628

6.504513

6.714604

6.595841

7.567764

6.538532

6.676068

7.190964

6.910936

6.843121

6.726252

6.708451

6.796939

6.847946

7.039916

6.65326

2006.11102

Axel Kleinschmidt

Joaquim Gomis, Axel Kleinschmidt, Diederik Roest, Patricio Salgado-Rebolledo

A free Lie algebra approach to curvature corrections to flat space-time

23 pages

null

10.1007/JHEP09(2020)068

ICCUB-20-013

hep-th gr-qc

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

We investigate a systematic approach to include curvature corrections to the isometry algebra of flat space-time order-by-order in the curvature scale. The Poincar\'e algebra is extended to a free Lie algebra, with generalised boosts and translations that no longer commute. The additional generators satisfy a level-ordering and encode the curvature corrections at that order. This eventually results in an infinite-dimensional algebra that we refer to as Poincar\'e${}_\infty$, and we show that it contains among others an (A)dS quotient. We discuss a non-linear realisation of this infinite-dimensional algebra, and construct a particle action based on it. The latter yields a geodesic equation that includes (A)dS curvature corrections at every order.

[ { "created": "Fri, 19 Jun 2020 12:31:08 GMT", "version": "v1" } ]

2020-10-28

[ [ "Gomis", "Joaquim", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Roest", "Diederik", "" ], [ "Salgado-Rebolledo", "Patricio", "" ] ]

We investigate a systematic approach to include curvature corrections to the isometry algebra of flat space-time order-by-order in the curvature scale. The Poincar\'e algebra is extended to a free Lie algebra, with generalised boosts and translations that no longer commute. The additional generators satisfy a level-ordering and encode the curvature corrections at that order. This eventually results in an infinite-dimensional algebra that we refer to as Poincar\'e${}_\infty$, and we show that it contains among others an (A)dS quotient. We discuss a non-linear realisation of this infinite-dimensional algebra, and construct a particle action based on it. The latter yields a geodesic equation that includes (A)dS curvature corrections at every order.

11.084158

10.678152

10.820403

9.498893

11.975244

9.980045

10.306221

10.20688

10.559217

11.428664

10.287754

10.631946

10.419265

10.320085

10.210618

10.142068

10.308596

10.620024

10.372853

10.555569

10.288694

hep-th/0010054

Noureddine Hambli

N. Hambli (U. of British Columbia)

On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit

27 pages, LateX, no figures, minor changes, typos corrected and added more references

Phys.Rev.D64:024001,2001

10.1103/PhysRevD.64.024001

UBC-00-01

hep-th

null

From the AdS/CFT correspondence, we learn that the classical evolution of supergravity in the bulk can be reduced to a RG-flow equation for the dual low-energy, strongly coupled and large N gauge theory on the boundary. This result has been used to obtain interesting relations between the various terms in the gravitational part of the boundary effective action, in particular the term that affect the cosmological constant. It is found that once the cosmological constant is cancelled in the UV theory, the RG-flow symmetry of the boundary effective action automatically implies the existence of zero cosmological constant solutions that extend all the way into the IR. Given the standard (and well founded) contradiction between the RG-flow idea and the observational evidence of a small cosmological constant, this is considered to be an important progress, albeit incomplete, towards the final solution. Motivated by this success, it would be interesting to see whether this RG-stability extends outside the scope of strong 't Hooft coupling and large N regime that are implicitly assumed in the de Boer-Verlinde-Verlinde Hamilton-Jacobi formulation of the holographic RG-flow equations of the boundary theory. In this paper, we address this question. Taking into account the leading order corrections in the 1/N and $\alpha'/{R^2}$ parameters, we derive new bulk/boundary relations, from which one can read all the local terms in the boundary effective action. Next, we use the resulting constraints, to examine whether the RG-stability of the cosmological constant extends to the new coupling regime. It would be also interesting to use these constraints to study the Randall-Sundrum scenario in this case.

[ { "created": "Mon, 9 Oct 2000 05:21:04 GMT", "version": "v1" }, { "created": "Tue, 12 Dec 2000 02:05:34 GMT", "version": "v2" } ]

2014-11-18

[ [ "Hambli", "N.", "", "U. of British Columbia" ] ]

From the AdS/CFT correspondence, we learn that the classical evolution of supergravity in the bulk can be reduced to a RG-flow equation for the dual low-energy, strongly coupled and large N gauge theory on the boundary. This result has been used to obtain interesting relations between the various terms in the gravitational part of the boundary effective action, in particular the term that affect the cosmological constant. It is found that once the cosmological constant is cancelled in the UV theory, the RG-flow symmetry of the boundary effective action automatically implies the existence of zero cosmological constant solutions that extend all the way into the IR. Given the standard (and well founded) contradiction between the RG-flow idea and the observational evidence of a small cosmological constant, this is considered to be an important progress, albeit incomplete, towards the final solution. Motivated by this success, it would be interesting to see whether this RG-stability extends outside the scope of strong 't Hooft coupling and large N regime that are implicitly assumed in the de Boer-Verlinde-Verlinde Hamilton-Jacobi formulation of the holographic RG-flow equations of the boundary theory. In this paper, we address this question. Taking into account the leading order corrections in the 1/N and $\alpha'/{R^2}$ parameters, we derive new bulk/boundary relations, from which one can read all the local terms in the boundary effective action. Next, we use the resulting constraints, to examine whether the RG-stability of the cosmological constant extends to the new coupling regime. It would be also interesting to use these constraints to study the Randall-Sundrum scenario in this case.

9.814921

10.619117

10.571946

9.728776

10.113638

10.262476

10.155358

10.416429

9.741051

11.615521

9.57678

9.647615

9.795486

9.458967

9.595536

9.406765

9.61874

9.654269

9.692166

10.037399

9.392402

hep-th/0612250

Cristian Vergu

C. Vergu

On the Factorisation of the Connected Prescription for Yang-Mills Amplitudes

16 pages, 1 figure

Phys.Rev.D75:025028,2007

10.1103/PhysRevD.75.025028

Saclay/SPhT-T06/188

hep-th

null

We examine factorisation in the connected prescription of Yang-Mills amplitudes. The multi-particle pole is interpreted as coming from representing delta functions as meromorphic functions. However, a naive evaluation does not give a correct result. We give a simple prescription for the integration contour which does give the correct result. We verify this prescription for a family of gauge-fixing conditions.

[ { "created": "Fri, 22 Dec 2006 15:59:44 GMT", "version": "v1" } ]

2008-11-26

[ [ "Vergu", "C.", "" ] ]

We examine factorisation in the connected prescription of Yang-Mills amplitudes. The multi-particle pole is interpreted as coming from representing delta functions as meromorphic functions. However, a naive evaluation does not give a correct result. We give a simple prescription for the integration contour which does give the correct result. We verify this prescription for a family of gauge-fixing conditions.

19.194595

14.786956

17.804213

15.181275

15.209392

15.073314

14.439413

15.124714

15.644164

17.536097

14.206372

14.94579

17.108454

16.012846

15.127149

15.615252

15.511845

15.017044

15.666295

17.848783

14.353716

2103.12611

Alexander Tsymbaliuk

Nikita Nekrasov, Alexander Tsymbaliuk

Surface defects in gauge theory and KZ equation

v3 41 page, 2 figures; some typos fixed, added additional clarifications of the main calculation

Letters in Mathematical Physics 112 (2022), Paper No. 28, 53pp

10.1007/s11005-022-01511-8

null

hep-th math.AG math.QA math.RT

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

We study the regular surface defect in the Omega-deformed four-dimensional supersymmetric gauge theory with gauge group SU(N) with 2N hypermultiplets in fundamental representation. We prove its vacuum expectation value obeys the Knizhnik-Zamolodchikov equation for the 4-point conformal block of current algebra of a two-dimensional conformal field theory. The level and the vertex operators are determined by the parameters of the Omega-background and the masses of the hypermultiplets; the cross-ratio of the 4 points is determined by the complexified gauge coupling. We clarify that in a somewhat subtle way the branching rule is parametrized by the Coulomb moduli. This is an example of the BPS/CFT relation.

[ { "created": "Tue, 23 Mar 2021 15:09:40 GMT", "version": "v1" }, { "created": "Tue, 13 Jul 2021 09:06:19 GMT", "version": "v2" }, { "created": "Thu, 3 Mar 2022 16:47:14 GMT", "version": "v3" } ]

2022-03-28

[ [ "Nekrasov", "Nikita", "" ], [ "Tsymbaliuk", "Alexander", "" ] ]

We study the regular surface defect in the Omega-deformed four-dimensional supersymmetric gauge theory with gauge group SU(N) with 2N hypermultiplets in fundamental representation. We prove its vacuum expectation value obeys the Knizhnik-Zamolodchikov equation for the 4-point conformal block of current algebra of a two-dimensional conformal field theory. The level and the vertex operators are determined by the parameters of the Omega-background and the masses of the hypermultiplets; the cross-ratio of the 4 points is determined by the complexified gauge coupling. We clarify that in a somewhat subtle way the branching rule is parametrized by the Coulomb moduli. This is an example of the BPS/CFT relation.

8.535795

8.534389

10.096004

8.352607

7.984984

9.26854

8.600692

8.79445

7.809173

12.28006

8.79439

8.634043

9.560988

8.203724

8.801887

8.601672

8.517962

8.391779

8.492186

9.747085

8.297709

hep-th/9712216

M. Veltman

M. Veltman (Department of Physics, University of Michigan, Ann Arbor, USA and CERN, Geneva, Switzerland)

Two component theory and electron magnetic moment

17 pages, tex, gz-compressed tar file

Acta Phys.Polon. B29 (1998) 783-798

null

hep-th

null

The two-component formulation of quantum electrodynamics is studied. The relation with the usual Dirac formulation is exhibited, and the Feynman rules for the two-component form of the theory are presented in terms of familiar objects. The transformation from the Dirac theory to the two-component theory is quite amusing, involving Faddeev-Popov ghost loops of a fermion type with bose statistics. The introduction of an anomalous magnetic moment in the two-component formalism is simple; it is not equivalent to a Pauli term in the Dirac formulation. Such an anomalous magnetic moment appears not to destroy the renormalizability of the theory but violates unitarity.

[ { "created": "Tue, 23 Dec 1997 14:05:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Veltman", "M.", "", "Department of Physics, University of Michigan, Ann Arbor,\n USA and CERN, Geneva, Switzerland" ] ]

The two-component formulation of quantum electrodynamics is studied. The relation with the usual Dirac formulation is exhibited, and the Feynman rules for the two-component form of the theory are presented in terms of familiar objects. The transformation from the Dirac theory to the two-component theory is quite amusing, involving Faddeev-Popov ghost loops of a fermion type with bose statistics. The introduction of an anomalous magnetic moment in the two-component formalism is simple; it is not equivalent to a Pauli term in the Dirac formulation. Such an anomalous magnetic moment appears not to destroy the renormalizability of the theory but violates unitarity.

8.914605

8.265024

9.19297

8.29528

9.138544

8.586062

8.406271

8.652122

8.39544

9.282081

8.521364

8.17287

8.46865

8.054238

8.300885

8.263485

8.160216

8.17915

8.399311

8.585958

8.063576

2310.04665

Chen-Te Ma

AdS$_3$ Einstein Gravity and Boundary Description: Pedagogical Review

66 pages, 3 figures, minor changes

null

hep-th

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

We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to CFTs, modular symmetry, and holography. It is worth noting that this particular theory is topological in nature, which means that all the physical degrees of freedom are located on the boundary. Additionally, we can derive the boundary description on a torus, which takes the form of a 2D Schwarzian theory. This observation suggests that the relevant degrees of freedom for the theory can be described using this 2D theory. Because of the renormalizability of the 3D gravity theory, one can probe the quantum regime. This suggests that it is possible to investigate quantum phenomena. Unlike the conventional CFTs, when considering the AdS$_3$ background, the boundary theory loses modular symmetry. This represents a departure from the usual behavior of CFT and is quite intriguing. The Weyl transformation induces anomaly in CFTs, and we indicate that applying this transformation to the 2D Schwarzian theory leads to similar results. Summing over all geometries with the asymptotic AdS$_3$ boundary condition is equivalent to summing over a modular group. The partition function is one-loop exact and therefore an analytical expression from the summation. This theory holds potential applications in Quantum Information and is a recurring theme in the study of holography, where gravitational theories are connected with CFTs.

[ { "created": "Sat, 7 Oct 2023 03:10:39 GMT", "version": "v1" }, { "created": "Tue, 24 Oct 2023 00:36:00 GMT", "version": "v2" }, { "created": "Mon, 18 Dec 2023 12:15:02 GMT", "version": "v3" }, { "created": "Thu, 28 Mar 2024 14:56:06 GMT", "version": "v4" } ]

2024-03-29

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

We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to CFTs, modular symmetry, and holography. It is worth noting that this particular theory is topological in nature, which means that all the physical degrees of freedom are located on the boundary. Additionally, we can derive the boundary description on a torus, which takes the form of a 2D Schwarzian theory. This observation suggests that the relevant degrees of freedom for the theory can be described using this 2D theory. Because of the renormalizability of the 3D gravity theory, one can probe the quantum regime. This suggests that it is possible to investigate quantum phenomena. Unlike the conventional CFTs, when considering the AdS$_3$ background, the boundary theory loses modular symmetry. This represents a departure from the usual behavior of CFT and is quite intriguing. The Weyl transformation induces anomaly in CFTs, and we indicate that applying this transformation to the 2D Schwarzian theory leads to similar results. Summing over all geometries with the asymptotic AdS$_3$ boundary condition is equivalent to summing over a modular group. The partition function is one-loop exact and therefore an analytical expression from the summation. This theory holds potential applications in Quantum Information and is a recurring theme in the study of holography, where gravitational theories are connected with CFTs.

10.056906

9.440079

9.82833

9.246167

9.470497

9.359655

9.381091

9.558107

9.048079

10.3025

9.008552

9.30264

9.65653

9.221296

9.413881

9.450032

9.271434

9.138762

9.462035

9.580197

9.281183

hep-th/0611162

Antonio Soares de Castro

L.B. Castro, A.S. de Castro and M.B. Hott

Bounded solutions of fermions in the background of mixed vector-scalar P\"{o}schl-Teller-like potentials

10 pages, 1 figure

Europhys.Lett.77:20009,2007

10.1209/0295-5075/77/20009

null

hep-th quant-ph

null

The problem of a fermion subject to a convenient mixing of vector and scalar potentials in a two-dimensional space-time is mapped into a Sturm-Liouville problem. For a specific case which gives rise to an exactly solvable effective modified P\"{o}schl-Teller potential in the Sturm-Liouville problem, bound-state solutions are found. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. The Dirac delta potential as a limit of the modified P% \"{o}schl-Teller potential is also discussed. The problem is also shown to be mapped into that of massless fermions subject to classical topological scalar and pseudoscalar potentials.

[ { "created": "Wed, 15 Nov 2006 00:17:17 GMT", "version": "v1" } ]

2008-11-26

[ [ "Castro", "L. B.", "" ], [ "de Castro", "A. S.", "" ], [ "Hott", "M. B.", "" ] ]

The problem of a fermion subject to a convenient mixing of vector and scalar potentials in a two-dimensional space-time is mapped into a Sturm-Liouville problem. For a specific case which gives rise to an exactly solvable effective modified P\"{o}schl-Teller potential in the Sturm-Liouville problem, bound-state solutions are found. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. The Dirac delta potential as a limit of the modified P% \"{o}schl-Teller potential is also discussed. The problem is also shown to be mapped into that of massless fermions subject to classical topological scalar and pseudoscalar potentials.

7.821321

6.730847

7.850965

6.765389

7.520248

6.138694

6.756109

7.14511

6.741137

8.477571

6.89855

7.212014

7.772736

7.535374

7.508873

7.137685

7.298174

7.353063

7.392663

7.928674

7.249675

hep-th/0007028

Elcio Abdalla

Elcio Abdalla and L. Alejandro Correa-Borbonet

Holography in an Early Universe with Asymmetric Inflation

The correct discussion of the holography problem in the Einstein frame has replaced a previous one

Phys.Lett. B489 (2000) 383-389

10.1016/S0370-2693(00)00968-0

null

hep-th

null

We discuss the validity of the holographic principle in a $(4+n)$ dimensional universe in an asymmetric inflationary phase.

[ { "created": "Tue, 4 Jul 2000 16:52:55 GMT", "version": "v1" }, { "created": "Tue, 8 Aug 2000 13:59:06 GMT", "version": "v2" } ]

2009-10-31

[ [ "Abdalla", "Elcio", "" ], [ "Correa-Borbonet", "L. Alejandro", "" ] ]

We discuss the validity of the holographic principle in a $(4+n)$ dimensional universe in an asymmetric inflationary phase.

21.608793

12.489262

14.572223

13.942881

12.6081

13.952551

15.283098

12.714165

14.579039

15.408838

13.980139

13.71063

14.551195

13.952455

14.254289

12.77935

13.466309

13.267082

13.767265

13.683761

13.604135

hep-th/0105006

Sanjaye Ramgoolam

On spherical harmonics for fuzzy spheres in diverse dimensions

33 pages (Harvmac big), 1 figure v2: added footnote clarifying radius of fuzzy odd spheres, v3 : fixed minor typo in eq. 6.2

Nucl.Phys.B610:461-488,2001

10.1016/S0550-3213(01)00315-7

Brown-het-1260

hep-th

null

We construct spherical harmonics for fuzzy spheres of even and odd dimensions, generalizing the correspondence between finite matrix algebras and fuzzy two-spheres. The finite matrix algebras associated with the various fuzzy spheres have a natural basis which falls in correspondence with tensor constructions of irreducible representations of orthogonal groups SO(n). This basis is useful in describing fluctuations around various D-brane constructions of fuzzy spherical objects. The higher fuzzy spheres are non-associative algebras that appear as projections of associative algebras related to Matrices. The non-associativity (as well as the non-commutativity) disappears in the leading large $N$ limit, ensuring the correct classical limit. Some simple aspects of the combinatorics of the fuzzy four-sphere can be accounted by a heuristic picture of giant fractional instantons.

[ { "created": "Tue, 1 May 2001 20:34:39 GMT", "version": "v1" }, { "created": "Tue, 18 Dec 2001 18:55:23 GMT", "version": "v2" }, { "created": "Sun, 11 Aug 2002 23:18:03 GMT", "version": "v3" } ]

2014-11-18

[ [ "Ramgoolam", "Sanjaye", "" ] ]

We construct spherical harmonics for fuzzy spheres of even and odd dimensions, generalizing the correspondence between finite matrix algebras and fuzzy two-spheres. The finite matrix algebras associated with the various fuzzy spheres have a natural basis which falls in correspondence with tensor constructions of irreducible representations of orthogonal groups SO(n). This basis is useful in describing fluctuations around various D-brane constructions of fuzzy spherical objects. The higher fuzzy spheres are non-associative algebras that appear as projections of associative algebras related to Matrices. The non-associativity (as well as the non-commutativity) disappears in the leading large $N$ limit, ensuring the correct classical limit. Some simple aspects of the combinatorics of the fuzzy four-sphere can be accounted by a heuristic picture of giant fractional instantons.

13.064836

13.692364

14.057496

12.425107

13.764164

14.218805

13.116609

11.725663

11.930238

13.039096

12.037295

11.586637

12.564582

11.921312

12.30579

12.25953

12.032474

11.80939

11.525981

13.062596

11.993164

1412.0549

Stuart Dowker

J.S. Dowker

Calculation of the multiplicative anomaly

16 pages, 2 figures. Underlying sign error corrected and note added, plus extra comments and one reference. Graphs redrawn

null

hep-th math-ph math.AP math.FA math.MP math.SP

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

The functional determinant multiplicative anomaly, or defect, is more closely investigated and explicit forms for products of linear operators are produced. I also present formulae for the defect of products of second order operators in terms of that for just two of the factors and discuss the specific cases of the sphere and hemisphere. The difference of Neumann and Dirichlet quantities on the hemisphere is equal to that for spin-1/2 on the rim. This is proved generally.

[ { "created": "Mon, 1 Dec 2014 17:23:23 GMT", "version": "v1" }, { "created": "Sun, 7 Dec 2014 21:06:11 GMT", "version": "v2" }, { "created": "Sun, 24 Sep 2023 14:24:58 GMT", "version": "v3" } ]

2023-09-26

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

The functional determinant multiplicative anomaly, or defect, is more closely investigated and explicit forms for products of linear operators are produced. I also present formulae for the defect of products of second order operators in terms of that for just two of the factors and discuss the specific cases of the sphere and hemisphere. The difference of Neumann and Dirichlet quantities on the hemisphere is equal to that for spin-1/2 on the rim. This is proved generally.

26.994698

24.062666

29.589136

22.589819

22.07168

22.978144

23.453981

22.065422

21.769531

29.652365

21.649466

23.199179

25.562016

24.178261

23.48847

23.104855

23.381538

23.240023

23.337564

25.439835

23.292105

hep-th/9608156

Chanju Kim

Chanju Kim and V. P. Nair (City College of New York)

Recursion Rules for Scattering Amplitudes in Non-Abelian Gauge Theories

18 pages, RevTeX, 2 postscript figures, a reference added, minor typographical errors corrected

Phys. Rev. D 55, 3851 (1997)

10.1103/PhysRevD.55.3851

CCNY-HEP-96/9

hep-th hep-ph

null

We present a functional derivation of recursion rules for scattering amplitudes in a non-Abelian gauge theory in a form valid to arbitrary loop order. The tree-level and one-loop recursion rules are explicitly displayed.

[ { "created": "Thu, 22 Aug 1996 20:12:32 GMT", "version": "v1" }, { "created": "Fri, 30 Aug 1996 14:39:55 GMT", "version": "v2" } ]

2016-08-24

[ [ "Kim", "Chanju", "", "City College of New York" ], [ "Nair", "V. P.", "", "City College of New York" ] ]

We present a functional derivation of recursion rules for scattering amplitudes in a non-Abelian gauge theory in a form valid to arbitrary loop order. The tree-level and one-loop recursion rules are explicitly displayed.

11.543489

9.737366

8.736189

9.158283

9.789696

9.698563

9.450109

9.734272

8.793186

9.300493

9.821853

9.124686

9.526687

9.344303

9.424641

9.339179

9.54775

9.447031

9.445667

10.333341

9.680296

2104.12321

Robert Oeckl

Daniele Colosi (ENES-Morelia-UNAM), Robert Oeckl (CCM-UNAM)

Evanescent Particles

20 pages, 2 figures; v2: minor corrections, references updated

Int. J. Mod. Phys. A 36 (2021) 2150194, 23 pages

10.1142/S0217751X21501943

UNAM-CCM-2021-1

hep-th math-ph math.MP

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

Massive Klein-Gordon theory is quantized on a timelike hyperplane in Minkowski space using the framework of general boundary quantum field theory. In contrast to previous work, not only the propagating sector of the phase space is quantized, but also the evanescent sector, with the correct physical vacuum. This yields for the first time a description of the quanta of the evanescent field alone. The key tool is the novel $\alpha$-K\"ahler quantization prescription based on a $*$-twisted observable algebra. The spatial evolution of states between timelike hyperplanes is established and turns out to be non-unitary if different choices are made for the quantization ambiguity for initial and final hyperplane. Nevertheless, a consistent notion of transition probability is established also in the non-unitary case, thanks to the use of the positive formalism. Finally, it is shown how a conducting boundary condition on the timelike hyperplane gives rise to what we call the Casimir state. This is a pseudo-state which can be interpreted as an alternative vacuum and which gives rise to a sea of particle pairs even in this static case.

[ { "created": "Mon, 26 Apr 2021 02:29:57 GMT", "version": "v1" }, { "created": "Thu, 11 Nov 2021 00:43:15 GMT", "version": "v2" } ]

2021-11-12

[ [ "Colosi", "Daniele", "", "ENES-Morelia-UNAM" ], [ "Oeckl", "Robert", "", "CCM-UNAM" ] ]

Massive Klein-Gordon theory is quantized on a timelike hyperplane in Minkowski space using the framework of general boundary quantum field theory. In contrast to previous work, not only the propagating sector of the phase space is quantized, but also the evanescent sector, with the correct physical vacuum. This yields for the first time a description of the quanta of the evanescent field alone. The key tool is the novel $\alpha$-K\"ahler quantization prescription based on a $*$-twisted observable algebra. The spatial evolution of states between timelike hyperplanes is established and turns out to be non-unitary if different choices are made for the quantization ambiguity for initial and final hyperplane. Nevertheless, a consistent notion of transition probability is established also in the non-unitary case, thanks to the use of the positive formalism. Finally, it is shown how a conducting boundary condition on the timelike hyperplane gives rise to what we call the Casimir state. This is a pseudo-state which can be interpreted as an alternative vacuum and which gives rise to a sea of particle pairs even in this static case.

11.363989

11.083375

11.277694

10.157695

10.433617

10.877916

11.02469

10.061148

9.965928

11.290933

10.320432

10.584408

10.655566

10.245934

10.706531

10.450563

10.108821

10.36105

10.422903

10.886445

10.390809

2112.14361

Xian-Hui Ge

Ming-Hui Yu, Cheng-Yuan Lu, Xian-Hui Ge, Sang-Jin Sin

Island, Page Curve and Superradiance of Rotating BTZ Black Holes

22 pages, 4 figures, typos corrected, Refs added

Phys.Rev.D 105 (2022) 6, 066009

10.1103/PhysRevD.105.066009

null

hep-th

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

We study the Page curve and the information paradox for the BTZ black hole coupled to two thermal baths by applying the island paradigm. We prove that as the island locates outside the event horizon, the entanglement entropy of Hawking radiation for finite temperature black holes obeys the Page curve. However, for extremal rotating black holes, the Page time and the scrambling time become divergent. To avoid the ill-defined of the Page time, we consider the contribution of superradiance, which is a process that can extract rotational energy from black holes. The superradiance continues in a period much shorter than the Page time when the central charge $c$ is not too large. In this process, the Page time, the scrambling time and the black hole thermal entropy all decrease. Whenever the superradiance finishes, the black hole turn out to be a neutral black hole and the Hawking radiation dominates. The Page curve can then be well reproduced.

[ { "created": "Wed, 29 Dec 2021 01:52:57 GMT", "version": "v1" }, { "created": "Wed, 5 Jan 2022 12:22:11 GMT", "version": "v2" } ]

2022-04-06

[ [ "Yu", "Ming-Hui", "" ], [ "Lu", "Cheng-Yuan", "" ], [ "Ge", "Xian-Hui", "" ], [ "Sin", "Sang-Jin", "" ] ]

We study the Page curve and the information paradox for the BTZ black hole coupled to two thermal baths by applying the island paradigm. We prove that as the island locates outside the event horizon, the entanglement entropy of Hawking radiation for finite temperature black holes obeys the Page curve. However, for extremal rotating black holes, the Page time and the scrambling time become divergent. To avoid the ill-defined of the Page time, we consider the contribution of superradiance, which is a process that can extract rotational energy from black holes. The superradiance continues in a period much shorter than the Page time when the central charge $c$ is not too large. In this process, the Page time, the scrambling time and the black hole thermal entropy all decrease. Whenever the superradiance finishes, the black hole turn out to be a neutral black hole and the Hawking radiation dominates. The Page curve can then be well reproduced.

8.465269

7.671971

9.079841

7.312345

7.665978

7.797575

7.666133

7.315322

7.577293

9.62396

7.506965

7.628421

8.067593

7.774341

7.823381

7.782887

7.762469

7.627728

7.816394

8.231028

7.761262

hep-th/9307022

null

Paul McCloud

Jet Bundles in Quantum Field Theory: The BRST-BV method

26 pages

Class.Quant.Grav.11:567-588,1994

10.1088/0264-9381/11/3/011

null

hep-th

null

The geometric interpretation of the Batalin-Vilkovisky antibracket as the Schouten bracket of functional multivectors is examined in detail. The identification is achieved by the process of repeated contraction of even functional multivectors with fermionic functional 1-forms. The classical master equation may then be considered as a generalisation of the Jacobi identity for Poisson brackets, and the cohomology of a nilpotent even functional multivector is identified with the BRST cohomology. As an example, the BRST-BV formulation of gauge fixing in theories with gauge symmetries is reformulated in the jet bundle formalism. (Hopefully this version will be TeXable)

[ { "created": "Fri, 2 Jul 1993 19:21:00 GMT", "version": "v1" }, { "created": "Sat, 3 Jul 1993 03:05:00 GMT", "version": "v2" }, { "created": "Wed, 7 Jul 1993 23:03:00 GMT", "version": "v3" }, { "created": "Mon, 19 Jul 1993 00:39:02 GMT", "version": "v4" } ]

2010-04-06

[ [ "McCloud", "Paul", "" ] ]

The geometric interpretation of the Batalin-Vilkovisky antibracket as the Schouten bracket of functional multivectors is examined in detail. The identification is achieved by the process of repeated contraction of even functional multivectors with fermionic functional 1-forms. The classical master equation may then be considered as a generalisation of the Jacobi identity for Poisson brackets, and the cohomology of a nilpotent even functional multivector is identified with the BRST cohomology. As an example, the BRST-BV formulation of gauge fixing in theories with gauge symmetries is reformulated in the jet bundle formalism. (Hopefully this version will be TeXable)

8.351338

8.611367

8.909942

7.99613

8.272034

8.172326

8.848528

7.957389

7.121161

8.989773

7.731673

7.688413

8.138208

7.633164

7.537432

7.638675

7.822004

7.519086

7.39347

8.094058

7.257324

hep-th/0108214

Yavuz Nutku

Y. Nutku and M. V. Pavlov

Multi-Lagrangians for Integrable Systems

typos corrected and a reference added

J.Math.Phys. 43 (2002) 1441-1459

10.1063/1.1427765

null

hep-th nlin.SI

null

We propose a general scheme to construct multiple Lagrangians for completely integrable non-linear evolution equations that admit multi- Hamiltonian structure. The recursion operator plays a fundamental role in this construction. We use a conserved quantity higher/lower than the Hamiltonian in the potential part of the new Lagrangian and determine the corresponding kinetic terms by generating the appropriate momentum map. This leads to some remarkable new developments. We show that nonlinear evolutionary systems that admit $N$-fold first order local Hamiltonian structure can be cast into variational form with $2N-1$ Lagrangians which will be local functionals of Clebsch potentials. This number increases to $3N-2$ when the Miura transformation is invertible. Furthermore we construct a new Lagrangian for polytropic gas dynamics in $1+1$ dimensions which is a {\it local} functional of the physical field variables, namely density and velocity, thus dispensing with the necessity of introducing Clebsch potentials entirely. This is a consequence of bi-Hamiltonian structure with a compatible pair of first and third order Hamiltonian operators derived from Sheftel's recursion operator.

[ { "created": "Wed, 29 Aug 2001 10:46:04 GMT", "version": "v1" }, { "created": "Mon, 3 Sep 2001 14:52:25 GMT", "version": "v2" } ]

2015-06-26

[ [ "Nutku", "Y.", "" ], [ "Pavlov", "M. V.", "" ] ]

We propose a general scheme to construct multiple Lagrangians for completely integrable non-linear evolution equations that admit multi- Hamiltonian structure. The recursion operator plays a fundamental role in this construction. We use a conserved quantity higher/lower than the Hamiltonian in the potential part of the new Lagrangian and determine the corresponding kinetic terms by generating the appropriate momentum map. This leads to some remarkable new developments. We show that nonlinear evolutionary systems that admit $N$-fold first order local Hamiltonian structure can be cast into variational form with $2N-1$ Lagrangians which will be local functionals of Clebsch potentials. This number increases to $3N-2$ when the Miura transformation is invertible. Furthermore we construct a new Lagrangian for polytropic gas dynamics in $1+1$ dimensions which is a {\it local} functional of the physical field variables, namely density and velocity, thus dispensing with the necessity of introducing Clebsch potentials entirely. This is a consequence of bi-Hamiltonian structure with a compatible pair of first and third order Hamiltonian operators derived from Sheftel's recursion operator.

9.86084

11.686544

11.595892

9.738446

11.066459

10.559321

10.789711

11.166779

10.756557

10.992271

9.954364

9.699228

10.12008

9.72058

9.757671

9.664073

9.657016

9.39278

9.922011

9.781553

9.612745

2212.13973

Francisco A. Brito

M. A. Anacleto, F. A. Brito, J. A. V. Campos, E. Passos

Absorption, scattering and shadow by a noncommutative black hole with global monopole

20 pages, 14 figures

null

10.1140/epjc/s10052-023-11484-0

null

hep-th gr-qc

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

In this paper, we investigate the process of massless scalar wave scattering due to a noncommutative black hole with a global monopole through the partial wave method. We computed the cross section of differential scattering and absorption at the low frequency limit. We also calculated, at the high frequency limit, the absorption and the shadow radius by the null geodesic method. We showed that noncommutativity causes a reduction in the differential scattering/absorption cross section and shadow radius, while the presence of the global monopole has the effect of increasing the value of such quantities. In the limit of the null mass parameter, we verify that the cross section of differential scattering, absorption and shadow ray approach to a non-zero value proportional to a minimum mass.

[ { "created": "Wed, 28 Dec 2022 17:45:12 GMT", "version": "v1" } ]

2023-05-03

[ [ "Anacleto", "M. A.", "" ], [ "Brito", "F. A.", "" ], [ "Campos", "J. A. V.", "" ], [ "Passos", "E.", "" ] ]

In this paper, we investigate the process of massless scalar wave scattering due to a noncommutative black hole with a global monopole through the partial wave method. We computed the cross section of differential scattering and absorption at the low frequency limit. We also calculated, at the high frequency limit, the absorption and the shadow radius by the null geodesic method. We showed that noncommutativity causes a reduction in the differential scattering/absorption cross section and shadow radius, while the presence of the global monopole has the effect of increasing the value of such quantities. In the limit of the null mass parameter, we verify that the cross section of differential scattering, absorption and shadow ray approach to a non-zero value proportional to a minimum mass.

8.634615

7.745258

7.198006

6.868443

7.34336

7.816598

8.00269

6.847963

7.853704

7.2346

7.839604

7.692368

7.554359

7.197194

7.205773

7.356829

7.664161

7.466606

7.607978

7.573018

7.776132

hep-th/9209060

null

P. P. Kulish

Quantum Groups, $q$-Oscillators and Covariant Algebras

11 pages. (Figures are not included.) Dedicated to the memory of M. C. Polivanov

Theor.Math.Phys. 94 (1993) 137-141; Teor.Mat.Fiz. 94N2 (1993) 193-199

10.1007/BF01019325

YITP/K-984

hep-th math.QA

null

The physical interpretation of the main notions of the quantum group theory (coproduct, representations and corepresentations, action and coaction) is discussed using the simplest examples of $q$-deformed objects (quantum group $F_q(GL(2))$, quantum algebra $sl_q(2)$, $q$-oscillator and $F_q$-covariant algebra.) Appropriate reductions of the covariant algebra of second rank $q$-tensors give rise to the algebras of the $q$-oscillator and the $q$-sphere. A special covariant algebra related to the reflection equation corresponds to the braid group in a space with nontrivial topology.

[ { "created": "Thu, 17 Sep 1992 02:46:07 GMT", "version": "v1" } ]

2009-10-22

[ [ "Kulish", "P. P.", "" ] ]

The physical interpretation of the main notions of the quantum group theory (coproduct, representations and corepresentations, action and coaction) is discussed using the simplest examples of $q$-deformed objects (quantum group $F_q(GL(2))$, quantum algebra $sl_q(2)$, $q$-oscillator and $F_q$-covariant algebra.) Appropriate reductions of the covariant algebra of second rank $q$-tensors give rise to the algebras of the $q$-oscillator and the $q$-sphere. A special covariant algebra related to the reflection equation corresponds to the braid group in a space with nontrivial topology.

8.602735

8.536811

9.422293

8.262337

8.785566

9.423863

8.24754

7.989972

7.840234

11.164795

8.060056

8.180521

8.943816

8.1513

7.994011

7.853349

8.581

8.098241

8.363579

9.094876

8.289271

1911.09832

Yan-Gang Miao

Xin-Chang Cai, Yan-Gang Miao

Quasinormal mode and spectroscopy of a Schwarzschild black hole surrounded by a cloud of strings in Rastall gravity

v1: 24 pages, 12 figures, 3 tables; v2: 25 pages, clarifications added in section 4; v3: 32 pages, 20 figures, 4 tables, clarifications and references added, final version to appear in Physical Review D

Phys. Rev. D 101, 104023 (2020)

10.1103/PhysRevD.101.104023

null

hep-th gr-qc

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

We obtain the solution of a static spherically symmetric black hole surrounded by a cloud of strings in Rastall gravity and study the influence of the parameter $a$ associated with strings on the event horizon and the Hawking temperature. Through analyzing the black hole metric, we find that the static spherically symmetric black hole solution surrounded by a cloud of strings in Rastall gravity can be transformed into the static spherically symmetric black hole solution surrounded by quintessence in Einstein gravity when the parameter $\beta$ of Rastall gravity is positive, which provides a possibility for the string fluid to be a candidate of dark energy. We use the method of Regge and Wheeler together with the high order WKB-Pad\'{e} approximation to calculate the quasinormal mode frequencies of the odd parity gravitational perturbation and simultaneously apply the unstable null geodesics of black holes to compute the quasinormal mode frequencies at the eikonal limit for this black hole model. The results show that the increase of the parameter $a$ makes the gravitational wave decay slowly in Rastall gravity. In addition, we utilize two methods, which are based on the adiabatic invariant integral and the periodic property of outgoing waves, respectively, to derive the area spectrum and entropy spectrum of the black hole model. The results show that the area spectrum and entropy spectrum are equidistant spaced. The former is same as the case of Einstein gravity, while the latter is different, depending on the Rastall parameter $\beta$.

[ { "created": "Fri, 22 Nov 2019 03:32:49 GMT", "version": "v1" }, { "created": "Thu, 5 Dec 2019 13:12:02 GMT", "version": "v2" }, { "created": "Fri, 17 Apr 2020 02:07:19 GMT", "version": "v3" } ]

2020-05-14

[ [ "Cai", "Xin-Chang", "" ], [ "Miao", "Yan-Gang", "" ] ]

We obtain the solution of a static spherically symmetric black hole surrounded by a cloud of strings in Rastall gravity and study the influence of the parameter $a$ associated with strings on the event horizon and the Hawking temperature. Through analyzing the black hole metric, we find that the static spherically symmetric black hole solution surrounded by a cloud of strings in Rastall gravity can be transformed into the static spherically symmetric black hole solution surrounded by quintessence in Einstein gravity when the parameter $\beta$ of Rastall gravity is positive, which provides a possibility for the string fluid to be a candidate of dark energy. We use the method of Regge and Wheeler together with the high order WKB-Pad\'{e} approximation to calculate the quasinormal mode frequencies of the odd parity gravitational perturbation and simultaneously apply the unstable null geodesics of black holes to compute the quasinormal mode frequencies at the eikonal limit for this black hole model. The results show that the increase of the parameter $a$ makes the gravitational wave decay slowly in Rastall gravity. In addition, we utilize two methods, which are based on the adiabatic invariant integral and the periodic property of outgoing waves, respectively, to derive the area spectrum and entropy spectrum of the black hole model. The results show that the area spectrum and entropy spectrum are equidistant spaced. The former is same as the case of Einstein gravity, while the latter is different, depending on the Rastall parameter $\beta$.

5.591828

6.352463

5.151105

4.915039

5.294836

5.694202

6.174122

4.699452

5.620181

5.28504

5.454977

5.705095

5.221161

5.301011

5.372131

5.357073

5.583117

5.213437

5.554976

5.25853

5.699465

1707.05761

Dmitriy Uvarov

D.V. Uvarov

Massless spinning particle and null-string on $AdS_d$: projective-space approach

23 pages, v5: corrected definition of $\rho^\mu$ after Eq. (3.7) and in subsequent Eqs. (3.9)-(3.12) of subsubsection 3.1.1. Respective corrections were also made in subsubsection 3.1.2

J. Phys. A: Math. Theor. Vol.51 (2018) 285402

10.1088/1751-8121/aac5d3

null

hep-th

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

Massless spinning particle and tensionless string models on $AdS_d$ background in the projective-space realization are proposed as constrained Hamiltonian systems. Various forms of particle and string Lagrangians are derived and classical mechanics is studied including the Lax-type representation of the equations of motion. After that transition to the quantum theory is discussed. Analysis of potential anomalies in the tensionless string model necessitates introduction of ghosts and BRST charge. It is shown that quantum BRST charge is nilpotent for any $d$ if coordinate-momentum ordering for the phase-space bosonic variables, Weyl ordering for the fermions and $cb$ ($\gamma\beta$) ordering for ghosts is chosen, while conformal reparametrizations and space-time dilatations turn out to be anomalous for the ordering in terms of positive and negative Fourier modes of the phase-space variables and ghosts.

[ { "created": "Tue, 18 Jul 2017 17:42:38 GMT", "version": "v1" }, { "created": "Tue, 19 Sep 2017 17:30:59 GMT", "version": "v2" }, { "created": "Sat, 10 Mar 2018 10:55:57 GMT", "version": "v3" }, { "created": "Sun, 22 Jul 2018 16:33:37 GMT", "version": "v4" }, { "created": "Tue, 28 Mar 2023 17:50:52 GMT", "version": "v5" } ]

2023-03-29

[ [ "Uvarov", "D. V.", "" ] ]

Massless spinning particle and tensionless string models on $AdS_d$ background in the projective-space realization are proposed as constrained Hamiltonian systems. Various forms of particle and string Lagrangians are derived and classical mechanics is studied including the Lax-type representation of the equations of motion. After that transition to the quantum theory is discussed. Analysis of potential anomalies in the tensionless string model necessitates introduction of ghosts and BRST charge. It is shown that quantum BRST charge is nilpotent for any $d$ if coordinate-momentum ordering for the phase-space bosonic variables, Weyl ordering for the fermions and $cb$ ($\gamma\beta$) ordering for ghosts is chosen, while conformal reparametrizations and space-time dilatations turn out to be anomalous for the ordering in terms of positive and negative Fourier modes of the phase-space variables and ghosts.

14.38861

13.54185

15.237975

12.922211

14.584093

13.934608

13.750539

13.634066

12.605861

16.176916

13.126801

12.64755

13.991753

12.629274

12.803955

13.118254

12.660051

12.61871

12.846109

13.786547

12.554479

hep-th/0309096

James Gray

James Gray and Andre Lukas

Gauge Five Brane Moduli In Four-Dimensional Heterotic Models

22 pages

Phys.Rev.D70:086003,2004

10.1103/PhysRevD.70.086003

SUSX-TH/02-009

hep-th

null

We present a Kahler potential for four dimensional heterotic M-theory which includes moduli describing a gauge five brane living on one of the orbifold fixed planes. This result can also be thought of as describing compactifications of either of the weakly coupled heterotic strings in the presence of a gauge five brane. This is the first example of a Kahler potential in these theories which includes moduli describing background gauge field configurations. Our results are valid when the solitons width is much smaller than the size scale of the Calabi-Yau threefold and can be used to provide a more complete description of some moving brane scenarios. We point out that, in general, it is not consistent to truncate away the gauge five brane moduli in a simple manner.

[ { "created": "Tue, 9 Sep 2003 17:40:19 GMT", "version": "v1" } ]

2008-11-26

[ [ "Gray", "James", "" ], [ "Lukas", "Andre", "" ] ]

We present a Kahler potential for four dimensional heterotic M-theory which includes moduli describing a gauge five brane living on one of the orbifold fixed planes. This result can also be thought of as describing compactifications of either of the weakly coupled heterotic strings in the presence of a gauge five brane. This is the first example of a Kahler potential in these theories which includes moduli describing background gauge field configurations. Our results are valid when the solitons width is much smaller than the size scale of the Calabi-Yau threefold and can be used to provide a more complete description of some moving brane scenarios. We point out that, in general, it is not consistent to truncate away the gauge five brane moduli in a simple manner.

8.900264

8.471437

9.075585

8.019102

8.151108

8.194365

7.954923

7.739757

8.101132

10.173296

7.647241

8.138252

8.750245

8.263915

8.152952

8.253362

7.911051

8.382309

8.26951

8.717975

8.19768

hep-th/0612242

Alan H. Guth

Jaume Garriga (Barcelona), Alan H. Guth (MIT), and Alexander Vilenkin (Tufts)

Eternal inflation, bubble collisions, and the persistence of memory

27 pages, 3 figures

Phys.Rev.D76:123512,2007

10.1103/PhysRevD.76.123512

MIT-CTP-3800

hep-th

null

A ``bubble universe'' nucleating in an eternally inflating false vacuum will experience, in the course of its expansion, collisions with an infinite number of other bubbles. In an idealized model, we calculate the rate of collisions around an observer inside a given reference bubble. We show that the collision rate violates both the homogeneity and the isotropy of the bubble universe. Each bubble has a center which can be related to ``the beginning of inflation'' in the parent false vacuum, and any observer not at the center will see an anisotropic bubble collision rate that peaks in the outward direction. Surprisingly, this memory of the onset of inflation persists no matter how much time elapses before the nucleation of the reference bubble.

[ { "created": "Thu, 21 Dec 2006 20:30:40 GMT", "version": "v1" } ]

2008-11-26

[ [ "Garriga", "Jaume", "", "Barcelona" ], [ "Guth", "Alan H.", "", "MIT" ], [ "Vilenkin", "Alexander", "", "Tufts" ] ]

A ``bubble universe'' nucleating in an eternally inflating false vacuum will experience, in the course of its expansion, collisions with an infinite number of other bubbles. In an idealized model, we calculate the rate of collisions around an observer inside a given reference bubble. We show that the collision rate violates both the homogeneity and the isotropy of the bubble universe. Each bubble has a center which can be related to ``the beginning of inflation'' in the parent false vacuum, and any observer not at the center will see an anisotropic bubble collision rate that peaks in the outward direction. Surprisingly, this memory of the onset of inflation persists no matter how much time elapses before the nucleation of the reference bubble.

9.444159

9.627365

9.636934

9.082672

11.373392

9.972784

10.334097

10.024432

9.367461

10.741047

8.536384

9.002659

9.019565

8.761763

8.965163

9.173779

9.018144

8.655792

8.911141

9.042481

8.708782

hep-th/9510218

null

Sheldon Katz

Gromov-Witten Invariants via Algebraic Geometry

15 pages, LaTeX (references added to revised version)

Nucl.Phys.Proc.Suppl. 46 (1996) 108-115

10.1016/0920-5632(96)00012-6

OSU Math 1995-9

hep-th alg-geom math.AG

null

Calculations of the number of curves on a Calabi-Yau manifold via an instanton expansion do not always agree with what one would expect naively. It is explained how to account for continuous families of instantons via deformation theory and excess intersection theory. The essential role played by degenerate instantons is also explained. This paper is a slightly expanded version of the author's talk at the June 1995 Trieste Conference on S-Duality and Mirror Symmetry.

[ { "created": "Mon, 30 Oct 1995 19:41:24 GMT", "version": "v1" }, { "created": "Mon, 6 Nov 1995 20:51:03 GMT", "version": "v2" } ]

2009-10-28

[ [ "Katz", "Sheldon", "" ] ]

Calculations of the number of curves on a Calabi-Yau manifold via an instanton expansion do not always agree with what one would expect naively. It is explained how to account for continuous families of instantons via deformation theory and excess intersection theory. The essential role played by degenerate instantons is also explained. This paper is a slightly expanded version of the author's talk at the June 1995 Trieste Conference on S-Duality and Mirror Symmetry.

10.540606

9.754796

11.217632

9.110046

9.173655

9.518802

9.254074

8.846051

9.630219

11.592882

9.215363

9.336615

10.278987

9.658742

9.474352

9.352631

9.149248

9.428376

9.699751

10.179612

8.995208

hep-th/9311068

Ali Chamseddine

A.H. Chamseddine and J. Fr\"ohlich

Particle Physics Models, Grand Unification, and Gravity in Non-Commutative Geometry

17 pages, A talk presented by first author in the Salamfest, May 1993

null

hep-th

null

We review the construction of particle physics models in the framework of non-commutative geometry. We first give simple examples, and then progress to outline the Connes-Lott construction of the standard Weinberg-Salam model and our construction of the SO(10) model. We then discuss the analogue of the Einstein-Hilbert action and gravitational matter couplings. Finally we speculate on some experimental signatures of predictions specific to the non-commutative approach.

[ { "created": "Thu, 11 Nov 1993 13:35:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chamseddine", "A. H.", "" ], [ "Fröhlich", "J.", "" ] ]

We review the construction of particle physics models in the framework of non-commutative geometry. We first give simple examples, and then progress to outline the Connes-Lott construction of the standard Weinberg-Salam model and our construction of the SO(10) model. We then discuss the analogue of the Einstein-Hilbert action and gravitational matter couplings. Finally we speculate on some experimental signatures of predictions specific to the non-commutative approach.

9.652023

9.068408

10.219279

8.890048

9.302873

8.913342

9.399275

8.214202

8.186817

9.25809

8.471841

8.699697

9.040258

9.03593

9.059311

8.73675

8.549488

8.844025

9.14397

8.874438

8.846754

hep-th/9503101

Luis Oxman

D.G. Barci, L.E. Oxman and M. Rocca

Canonical quantization of non-local field equations

18 p., LaTeX

Int.J.Mod.Phys. A11 (1996) 2111-2126

10.1142/S0217751X96001061

null

hep-th

null

We consistently quantize a class of relativistic non-local field equations characterized by a non-local kinetic term in the lagrangian. We solve the classical non-local equations of motion for a scalar field and evaluate the on-shell hamiltonian. The quantization is realized by imposing Heisenberg's equation which leads to the commutator algebra obeyed by the Fourier components of the field. We show that the field operator carries, in general, a reducible representation of the Poincare group. We also consider the Gupta-Bleuler quantization of a non-local gauge field and analyze the propagators and the physical states of the theory.

[ { "created": "Wed, 15 Mar 1995 16:57:22 GMT", "version": "v1" } ]

2015-06-26

[ [ "Barci", "D. G.", "" ], [ "Oxman", "L. E.", "" ], [ "Rocca", "M.", "" ] ]

We consistently quantize a class of relativistic non-local field equations characterized by a non-local kinetic term in the lagrangian. We solve the classical non-local equations of motion for a scalar field and evaluate the on-shell hamiltonian. The quantization is realized by imposing Heisenberg's equation which leads to the commutator algebra obeyed by the Fourier components of the field. We show that the field operator carries, in general, a reducible representation of the Poincare group. We also consider the Gupta-Bleuler quantization of a non-local gauge field and analyze the propagators and the physical states of the theory.

8.256449

6.904781

7.598278

6.73493

7.187167

7.089969

6.901793

7.059637

6.602177

7.849309

6.701756

6.665121

7.244263

6.754515

6.796095

6.606228

6.709188

6.736627

6.830054

7.272974

6.63961

hep-th/9412078

Suresh Govindarajan

Higher dimensional uniformisation and W-geometry

LaTeX file; 25/13 pages in b/l mode ; version to appear in Nuc. Phys. B

Nucl.Phys. B457 (1995) 357-374

10.1016/0550-3213(95)00527-7

TIFR/TH/94-52

hep-th

null

We formulate the uniformisation problem underlying the geometry of W_n-gravity using the differential equation approach to W-algebras. We construct W_n-space (analogous to superspace in supersymmetry) as an (n-1) dimensional complex manifold using isomonodromic deformations of linear differential equations. The W_n-manifold is obtained by the quotient of a Fuchsian subgroup of PSL(n,R) which acts properly discontinuously on a simply connected domain in CP^{n-1}. The requirement that a deformation be isomonodromic furnishes relations which enable one to convert non-linear W-diffeomorphisms to (linear) diffeomorphisms on the W_n-manifold. We discuss how the Teichmuller spaces introduced by Hitchin can then be interpreted as the space of complex structures or the space of projective structures with real holonomy on the W_n-manifold. The projective structures are characterised by Halphen invariants which are appropriate generalisations of the Schwarzian. This construction will work for all ``generic'' W-algebras.

[ { "created": "Fri, 9 Dec 1994 13:53:20 GMT", "version": "v1" }, { "created": "Wed, 11 Jan 1995 09:43:57 GMT", "version": "v2" }, { "created": "Fri, 13 Oct 1995 08:32:21 GMT", "version": "v3" } ]

2009-10-28

[ [ "Govindarajan", "Suresh", "" ] ]

We formulate the uniformisation problem underlying the geometry of W_n-gravity using the differential equation approach to W-algebras. We construct W_n-space (analogous to superspace in supersymmetry) as an (n-1) dimensional complex manifold using isomonodromic deformations of linear differential equations. The W_n-manifold is obtained by the quotient of a Fuchsian subgroup of PSL(n,R) which acts properly discontinuously on a simply connected domain in CP^{n-1}. The requirement that a deformation be isomonodromic furnishes relations which enable one to convert non-linear W-diffeomorphisms to (linear) diffeomorphisms on the W_n-manifold. We discuss how the Teichmuller spaces introduced by Hitchin can then be interpreted as the space of complex structures or the space of projective structures with real holonomy on the W_n-manifold. The projective structures are characterised by Halphen invariants which are appropriate generalisations of the Schwarzian. This construction will work for all ``generic'' W-algebras.

8.923006

9.634035

10.340179

8.882209

9.628285

9.527479

9.33815

9.14958

9.359506

10.57577

9.110754

8.824679

9.152654

8.58777

9.210252

8.315564

8.912136

8.775558

8.885454

9.081866

8.830499

hep-th/9502002

Harvinder Singh

Jnanadeva Maharana

SYMMETRIES OF THE DIMENSIONALLY REDUCED STRING EFFECTIVE ACTION

15 pages, plain-TEX file, no figures

Mod.Phys.Lett. A11 (1996) 9-17

10.1142/S0217732396000035

IP/BBSR-95-5

hep-th

null

A two dimensional string effective action is obtained by dimensionally reducing the bosonic part of the ten dimensional heterotic string effective action. It is shown that this effective action, with a few restrictions on some backgrounds describes a two dimensional model which admits an infinite sequence of nonlocal conserved currents.

[ { "created": "Tue, 31 Jan 1995 19:30:31 GMT", "version": "v1" } ]

2015-06-26

[ [ "Maharana", "Jnanadeva", "" ] ]

A two dimensional string effective action is obtained by dimensionally reducing the bosonic part of the ten dimensional heterotic string effective action. It is shown that this effective action, with a few restrictions on some backgrounds describes a two dimensional model which admits an infinite sequence of nonlocal conserved currents.

12.104574

7.832201

10.197102

8.606971

8.992787

8.592764

9.345196

7.858026

8.823289

11.262292

8.737976

9.492682

10.382625

9.634644

9.308417

9.133182

9.449636

8.879564

8.989475

10.819884

9.066691

1406.2197

Roberto Zucchini

Emanuele Soncini and Roberto Zucchini

4-d semistrict higher Chern-Simons theory I

97 pages, LaTex, a few references added

null

10.1007/JHEP10(2014)079

DIFA 14

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

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

We formulate a 4-dimensional higher gauge theoretic Chern-Simons theory. Its symmetry is encoded in a semistrict Lie 2-algebra equipped with an invariant non singular bilinear form. We analyze the gauge invariance of the theory and show that action is invariant under a higher gauge transformation up to a higher winding number. We find that the theory admits two seemingly inequivalent canonical quantizations. The first is manifestly topological, it does not require a choice of any additional structure on the spacial 3-fold. The second, more akin to that of ordinary Chern-Simons theory, involves fixing a CR structure on the latter. Correspondingly, we obtain two sets of semistrict higher WZW Ward identities and we find the explicit expressions of two higher versions of the WZW action. We speculate that the model could be used to define 2-knot invariants of 4-folds.

[ { "created": "Mon, 9 Jun 2014 14:36:14 GMT", "version": "v1" }, { "created": "Wed, 10 Sep 2014 08:52:24 GMT", "version": "v2" } ]

2015-06-19

[ [ "Soncini", "Emanuele", "" ], [ "Zucchini", "Roberto", "" ] ]

We formulate a 4-dimensional higher gauge theoretic Chern-Simons theory. Its symmetry is encoded in a semistrict Lie 2-algebra equipped with an invariant non singular bilinear form. We analyze the gauge invariance of the theory and show that action is invariant under a higher gauge transformation up to a higher winding number. We find that the theory admits two seemingly inequivalent canonical quantizations. The first is manifestly topological, it does not require a choice of any additional structure on the spacial 3-fold. The second, more akin to that of ordinary Chern-Simons theory, involves fixing a CR structure on the latter. Correspondingly, we obtain two sets of semistrict higher WZW Ward identities and we find the explicit expressions of two higher versions of the WZW action. We speculate that the model could be used to define 2-knot invariants of 4-folds.

10.060535

10.974794

11.798451

9.838767

11.051572

10.850942

11.544685

10.803305

10.394119

11.561099

9.975846

10.167598

10.243506

9.615657

10.073211

10.215975

9.764076

10.082298

9.961051

10.49246

10.164733

hep-th/0403099

Daniel Bundzik

Daniel Bundzik and Anna Tollst\'en

The Geometry of Fractional D1-branes

13 pages, no figures, minor corrections, clarifications to the text in section 4

Class.Quant.Grav. 21 (2004) 3985-3994

10.1088/0264-9381/21/16/011

LU TP 04-13

hep-th

null

We find explicit solutions of Type IIB string theory on R^4/Z_2 corresponding to the classical geometry of fractional D1-branes. From the supergravity solution obtained, we capture perturbative information about the running of the coupling constant and the metric on the moduli space of N=4, D=2 Super Yang Mills.

[ { "created": "Tue, 9 Mar 2004 13:04:43 GMT", "version": "v1" }, { "created": "Tue, 29 Jun 2004 10:46:37 GMT", "version": "v2" } ]

2016-08-16

[ [ "Bundzik", "Daniel", "" ], [ "Tollstén", "Anna", "" ] ]

We find explicit solutions of Type IIB string theory on R^4/Z_2 corresponding to the classical geometry of fractional D1-branes. From the supergravity solution obtained, we capture perturbative information about the running of the coupling constant and the metric on the moduli space of N=4, D=2 Super Yang Mills.

16.052116

11.210494

17.285807

10.237959

11.573923

10.721362

10.73945

11.417756

11.46465

20.018339

10.900818

11.25814

14.279595

11.711768

11.730979

11.034759

11.486891

11.787242

11.552125

13.248872

11.19528

hep-th/0610202

S. I. Kruglov

On First-Order Generalized Maxwell Equations

14 pages, corrections in Eq.(38),(39),(59)

Can.J.Phys.86:995-1000,2008

10.1139/P08-032

null

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

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

The generalized Maxwell equations including an additional scalar field are considered in the first-order formalism. The gauge invariance of the Lagrangian and equations is broken resulting the appearance of a scalar field. We find the canonical and symmetrical Belinfante energy-momentum tensors. It is shown that the traces of the energy-momentum tensors are not equal to zero and the dilatation symmetry is broken in the theory considered. The matrix Hamiltonian form of equations is obtained after the exclusion of the nondynamical components. The canonical quantization is performed and the propagator of the fields is found in the first-order formalism.

[ { "created": "Wed, 18 Oct 2006 00:12:42 GMT", "version": "v1" }, { "created": "Tue, 1 Apr 2008 15:51:21 GMT", "version": "v2" }, { "created": "Sun, 29 Nov 2009 16:17:05 GMT", "version": "v3" } ]

2011-02-11

[ [ "Kruglov", "S. I.", "" ] ]

The generalized Maxwell equations including an additional scalar field are considered in the first-order formalism. The gauge invariance of the Lagrangian and equations is broken resulting the appearance of a scalar field. We find the canonical and symmetrical Belinfante energy-momentum tensors. It is shown that the traces of the energy-momentum tensors are not equal to zero and the dilatation symmetry is broken in the theory considered. The matrix Hamiltonian form of equations is obtained after the exclusion of the nondynamical components. The canonical quantization is performed and the propagator of the fields is found in the first-order formalism.

7.658557

6.001801

6.985903

6.056131

5.646472

5.845964

5.486796

6.11489

5.907817

7.774095

6.074316

6.706394

7.244774

6.908497

6.880581

6.830226

6.821394

7.070491

7.011403

7.509969

7.21827

hep-th/9701072

Joao Barcelos Neto

J. Barcelos-Neto

BFFT quantization with nonlinear constraints

19 pages, Latex

Phys.Rev. D55 (1997) 2265-2273

10.1103/PhysRevD.55.2265

null

hep-th

null

We consider the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) that makes the conversion of second-class constraints into first-class ones for the case of nonlinear theories. We first present a general analysis of an attempt to simplify the method, showing the conditions that must be fulfilled in order to have first-class constraints for nonlinear theories but that are linear in the auxiliary variables. There are cases where this simplification cannot be done and the full BFFT method has to be used. However, in the way the method is formulated, we show with details that it is not practicable to be done. Finally, we speculate on a solution for these problems.

[ { "created": "Wed, 15 Jan 1997 15:18:18 GMT", "version": "v1" } ]

2009-10-30

[ [ "Barcelos-Neto", "J.", "" ] ]

We consider the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) that makes the conversion of second-class constraints into first-class ones for the case of nonlinear theories. We first present a general analysis of an attempt to simplify the method, showing the conditions that must be fulfilled in order to have first-class constraints for nonlinear theories but that are linear in the auxiliary variables. There are cases where this simplification cannot be done and the full BFFT method has to be used. However, in the way the method is formulated, we show with details that it is not practicable to be done. Finally, we speculate on a solution for these problems.

9.784945

8.947883

9.988082

9.105981

8.827172

8.565916

8.677591

8.880989

8.957126

12.161167

8.418624

8.948845

9.740148

8.86242

9.061635

8.95749

9.009471

9.115767

8.828478

9.962247

8.754704

hep-th/0306213

Kentaroh Yoshida

Makoto Sakaguchi and Kentaroh Yoshida (KEK)

Dirichlet Branes of the Covariant Open Supermembrane on a PP-wave Background

17 pages, no figures, LaTeX2e, minor correction, references added. (+,-)=(N,D) or (D,N) cases are excluded

Nucl.Phys. B676 (2004) 311-324

10.1016/j.nuclphysb.2003.10.024

KEK-TH-895

hep-th

null

We discuss an open supermembrane theory on the maximally supersymmetric pp-wave background in eleven dimensions. The boundary surfaces of an open supermembrane are studied by using the covariant supermembrane theory. In particular, we find the configurations of M5-branes and 9-branes preserving a half of supersymmetries at the origin.

[ { "created": "Mon, 23 Jun 2003 10:52:38 GMT", "version": "v1" }, { "created": "Tue, 1 Jul 2003 11:13:34 GMT", "version": "v2" }, { "created": "Wed, 8 Oct 2003 07:35:22 GMT", "version": "v3" } ]

2010-04-05

[ [ "Sakaguchi", "Makoto", "", "KEK" ], [ "Yoshida", "Kentaroh", "", "KEK" ] ]

We discuss an open supermembrane theory on the maximally supersymmetric pp-wave background in eleven dimensions. The boundary surfaces of an open supermembrane are studied by using the covariant supermembrane theory. In particular, we find the configurations of M5-branes and 9-branes preserving a half of supersymmetries at the origin.

9.488763

6.826453

9.6968

7.057549

7.807873

8.472375

7.613852

7.601161

6.984244

10.200255

7.384371

7.786924

10.42411

8.447797

8.275329

8.011432

8.135945

8.154991

7.858039

9.319335

7.748507

hep-th/9711191

Olivier Piguet

Oswaldo M. Del Cima, Daniel H.T. Franco, Jose A. Helayel-Neto and Olivier Piguet

On the Non-Renormalization Properties of Gauge Theories with Chern-Simons Terms

24 pages, Latex. Small changes in the introduction, concerning the citations; two references added, one updated. Some misprints corrected

JHEP 9802:002,1998

10.1088/1126-6708/1998/02/002

CBPF-NF-052/97 -- UFES--DF--OP97/2

hep-th

null

Considering three-dimensional Chern-Simons theory, either coupled to matter or with a Yang-Mills term, we show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all orders of perturbation theory. From this we deduce the vanishing of the $\beta$-function associated to the Chern-Simons coupling constant and the full finiteness in the case of the Yang-Mills Chern-Simons theory. The main ingredient in the proof of the latter property is the noninvariance of the Chern-Simons form under the gauge transformations. Our results hold for the three-dimensional Chern-Simons model in a general Riemannian manifold.

[ { "created": "Wed, 26 Nov 1997 17:51:06 GMT", "version": "v1" }, { "created": "Tue, 2 Dec 1997 15:24:10 GMT", "version": "v2" }, { "created": "Thu, 22 Jan 1998 17:49:50 GMT", "version": "v3" } ]

2015-06-26

[ [ "Del Cima", "Oswaldo M.", "" ], [ "Franco", "Daniel H. T.", "" ], [ "Helayel-Neto", "Jose A.", "" ], [ "Piguet", "Olivier", "" ] ]

Considering three-dimensional Chern-Simons theory, either coupled to matter or with a Yang-Mills term, we show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all orders of perturbation theory. From this we deduce the vanishing of the $\beta$-function associated to the Chern-Simons coupling constant and the full finiteness in the case of the Yang-Mills Chern-Simons theory. The main ingredient in the proof of the latter property is the noninvariance of the Chern-Simons form under the gauge transformations. Our results hold for the three-dimensional Chern-Simons model in a general Riemannian manifold.

5.611066

5.151206

5.510977

5.352883

5.958311

5.584516

5.191887

5.277408

5.415797

5.901954

5.319752

5.348238

5.275244

5.304279

5.202336

5.413809

5.198757

5.400279

5.366602

5.376082

5.470295

1207.1496

Eduardo Rodr\'iguez

Fernando Izaurieta, Eduardo Rodr\'iguez

Effectively four-dimensional spacetimes emerging from d=5 Einstein-Gauss-Bonnet Gravity

9 pages, 4 figures. v2: New section on geometrical significance of solutions. Final version for CQG

null

10.1088/0264-9381/30/15/155009

null

hep-th gr-qc

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

Einstein-Gauss-Bonnet gravity in five-dimensional spacetime provides an excellent example of a theory that, while including higher-order curvature corrections to General Relativity, still shares many of its features, such as second-order field equations for the metric. We focus on the largely unexplored case where the coupling constants of the theory are such that no constant-curvature solution is allowed, leaving open the question of what the vacuum state should then be. We find that even a slight deviation from the anti-de Sitter Chern-Simons theory, where the vacuum state is five-dimensional AdS spacetime, leads to a complete symmetry breakdown, with the fifth dimension either being compactified into a small circle or shrinking away exponentially with time. A complete family of solutions, including duality relations among them, is uncovered and shown to be unique within a certain class. This dynamical dimensional reduction scenario seems particularly attractive as a means for higher-dimensional theories to make contact with our four-dimensional world.

[ { "created": "Fri, 6 Jul 2012 00:34:06 GMT", "version": "v1" }, { "created": "Fri, 21 Jun 2013 17:09:25 GMT", "version": "v2" } ]

2015-06-05

[ [ "Izaurieta", "Fernando", "" ], [ "Rodríguez", "Eduardo", "" ] ]

Einstein-Gauss-Bonnet gravity in five-dimensional spacetime provides an excellent example of a theory that, while including higher-order curvature corrections to General Relativity, still shares many of its features, such as second-order field equations for the metric. We focus on the largely unexplored case where the coupling constants of the theory are such that no constant-curvature solution is allowed, leaving open the question of what the vacuum state should then be. We find that even a slight deviation from the anti-de Sitter Chern-Simons theory, where the vacuum state is five-dimensional AdS spacetime, leads to a complete symmetry breakdown, with the fifth dimension either being compactified into a small circle or shrinking away exponentially with time. A complete family of solutions, including duality relations among them, is uncovered and shown to be unique within a certain class. This dynamical dimensional reduction scenario seems particularly attractive as a means for higher-dimensional theories to make contact with our four-dimensional world.

9.386078

10.002447

9.020196

9.096143

10.124429

10.338027

10.023725

9.030374

9.292133

9.81946

9.018136

9.033268

8.731028

8.701072

8.605688

8.898592

9.116276

8.893711

8.855493

8.560212

8.736387

1406.6271

Yoshimasa Hidaka

Tomoya Hayata, Yoshimasa Hidaka

Dispersion relations of Nambu-Goldstone modes at finite temperature and density

32 pages, no figure; typos corrected, some discussions elaborated in Sec. VB5

Phys. Rev. D 91, 056006 (2015)

10.1103/PhysRevD.91.056006

RIKEN-QHP-159

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

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

We discuss the dispersion relations of Nambu-Goldstone (NG) modes associated with spontaneous breaking of internal symmetries at finite temperature and/or density. We show that the dispersion relations of type-A (I) and type-B (II) NG modes are linear and quadratic in momentum, whose imaginary parts are quadratic and quartic, respectively. In both cases, the real parts of the dispersion relations are larger than the imaginary parts when the momentum is small, so that the NG modes can propagate far away. We derive the gap formula for NG modes in the presence of a small explicit breaking term. We also discuss the gapped partners of type-B NG modes, when type-A and type-B NG modes coexist.

[ { "created": "Tue, 24 Jun 2014 15:05:12 GMT", "version": "v1" }, { "created": "Tue, 31 Mar 2015 05:30:42 GMT", "version": "v2" } ]

2015-04-01

[ [ "Hayata", "Tomoya", "" ], [ "Hidaka", "Yoshimasa", "" ] ]

We discuss the dispersion relations of Nambu-Goldstone (NG) modes associated with spontaneous breaking of internal symmetries at finite temperature and/or density. We show that the dispersion relations of type-A (I) and type-B (II) NG modes are linear and quadratic in momentum, whose imaginary parts are quadratic and quartic, respectively. In both cases, the real parts of the dispersion relations are larger than the imaginary parts when the momentum is small, so that the NG modes can propagate far away. We derive the gap formula for NG modes in the presence of a small explicit breaking term. We also discuss the gapped partners of type-B NG modes, when type-A and type-B NG modes coexist.

5.937964

6.097429

5.823533

5.648211

6.079646

5.810447

5.841765

6.080313

5.679891

6.3655

5.740733

5.81662

5.993177

5.738086

5.792098

5.87401

5.825871

5.963429

5.710467

6.094496

5.592356

1811.04809

Filipe Moura

Dilatonic black holes in superstring gravity

V2: some small changes in the presentation; references and discussion added; results unchanged. Published version. arXiv admin note: text overlap with arXiv:0912.3051

Phys. Rev. D 99, 086008 (2019)

10.1103/PhysRevD.99.086008

null

hep-th

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

We solve the dilaton field equation in the background of a spherically symmetric black hole in type II superstring theory with $\alpha'^3$ corrections in arbitrary $d$ spacetime dimensions. We then apply this result to obtain a spherically symmetric black hole solution with $\alpha'^3$ corrections in superstring theory compactified on a torus, coupled to such dilaton. For this black hole we obtain its mass, entropy, temperature, specific heat, and free energy.

[ { "created": "Fri, 9 Nov 2018 14:45:30 GMT", "version": "v1" }, { "created": "Wed, 10 Apr 2019 22:14:56 GMT", "version": "v2" } ]

2019-04-17

[ [ "Moura", "Filipe", "" ] ]

We solve the dilaton field equation in the background of a spherically symmetric black hole in type II superstring theory with $\alpha'^3$ corrections in arbitrary $d$ spacetime dimensions. We then apply this result to obtain a spherically symmetric black hole solution with $\alpha'^3$ corrections in superstring theory compactified on a torus, coupled to such dilaton. For this black hole we obtain its mass, entropy, temperature, specific heat, and free energy.

6.733656

5.520116

6.266007

5.548692

5.873685

5.834037

5.919593

5.956818

5.637776

6.007325

5.670197

5.862203

5.970462

5.725183

5.99231

5.997201

5.882994

5.783018

5.687784

6.156897

5.787997

1901.03914

Luiz Henrique De Campos Borges Phd

L. H. C. Borges, D. Dalmazi

Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario

12 pages

Phys. Rev. D 99, 024040 (2019)

10.1103/PhysRevD.99.024040

null

hep-th

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

This paper is dedicated to the study of interactions between stationary field sources for the linearized unimodular gravity or WTDIFF theory in a model which exhibits Lorentz symmetry breaking due to the presence of the linearized topological Chern-Simons term in $3 + 1$ dimensions, where the Lorentz symmetry breaking is caused by a single background vector $v^{\mu}$. Since the background vector is very tiny, we treat it perturbatively up to second order and we focus on physical phenomena which have no counterpart in standard WTDIFF theory. We consider effects related to field sources describing point-like particles and cosmic strings. We show that in a Lorentz violating scenario the interaction between external sources lead to numerically different results for linerarized Eintein-Hilbert (LEH) and WTDIFF theories, however both results are qualitatively similar and can be equalized after a rescaling of the Lorentz breaking source term which makes an experimental distinction impossible at leading order in pertubation theory as far as point particles and cosmic strings are concerned.

[ { "created": "Sat, 12 Jan 2019 23:38:27 GMT", "version": "v1" } ]

2019-02-05

[ [ "Borges", "L. H. C.", "" ], [ "Dalmazi", "D.", "" ] ]

This paper is dedicated to the study of interactions between stationary field sources for the linearized unimodular gravity or WTDIFF theory in a model which exhibits Lorentz symmetry breaking due to the presence of the linearized topological Chern-Simons term in $3 + 1$ dimensions, where the Lorentz symmetry breaking is caused by a single background vector $v^{\mu}$. Since the background vector is very tiny, we treat it perturbatively up to second order and we focus on physical phenomena which have no counterpart in standard WTDIFF theory. We consider effects related to field sources describing point-like particles and cosmic strings. We show that in a Lorentz violating scenario the interaction between external sources lead to numerically different results for linerarized Eintein-Hilbert (LEH) and WTDIFF theories, however both results are qualitatively similar and can be equalized after a rescaling of the Lorentz breaking source term which makes an experimental distinction impossible at leading order in pertubation theory as far as point particles and cosmic strings are concerned.

12.218849

10.898993

11.917894

10.869076

11.841388

10.94972

12.236723

11.076434

11.219855

13.616008

10.905867

11.044807

11.438216

11.456627

11.106029

11.199296

10.794683

10.969798

11.246348

11.432033

11.306606

2309.15897

Jonah Kudler-Flam

Jonah Kudler-Flam, Samuel Leutheusser, Gautam Satishchandran

Generalized Black Hole Entropy is von Neumann Entropy

83 pages + appendices. v5: typos corrected

null

hep-th gr-qc quant-ph

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

It was recently shown that the von Neumann algebras of observables dressed to the mass of a Schwarzschild-AdS black hole or an observer in de Sitter are Type II, and thus admit well-defined traces. The von Neumann entropies of "semi-classical" states were found to be generalized entropies. However, these arguments relied on the existence of an equilibrium (KMS) state and thus do not apply to, e.g., black holes formed from gravitational collapse, Kerr black holes, or black holes in asymptotically de Sitter space. In this paper, we present a general framework for obtaining the algebra of dressed observables for linear fields on any spacetime with a Killing horizon. We prove, assuming the existence of a stationary (but not necessarily KMS) state and suitable decay of solutions, a structure theorem that the algebra of dressed observables always contains a Type II factor "localized" on the horizon. These assumptions have been rigorously proven in most cases of interest. Applied to the algebra in the exterior of an asymptotically flat Kerr black hole, where the fields are dressed to the black hole mass and angular momentum, we find a product of a Type II$_{\infty}$ algebra on the horizon and a Type I$_{\infty}$ algebra at past null infinity. In Schwarzschild-de Sitter, despite the fact that we introduce an observer, the quantum field observables are dressed to the perturbed areas of the black hole and cosmological horizons and is the product of Type II$_{\infty}$ algebras on each horizon. In all cases, the von Neumann entropy for semiclassical states is given by the generalized entropy. Our results suggest that in all cases where there exists another "boundary structure" (e.g., an asymptotic boundary or another Killing horizon) the algebra of observables is Type II$_{\infty}$ and in the absence of such structures (e.g., de Sitter) the algebra is Type II$_{1}$.

[ { "created": "Wed, 27 Sep 2023 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 24 Oct 2023 15:54:14 GMT", "version": "v2" }, { "created": "Fri, 5 Jan 2024 18:25:09 GMT", "version": "v3" }, { "created": "Thu, 27 Jun 2024 01:17:17 GMT", "version": "v4" }, { "created": "Wed, 7 Aug 2024 13:44:45 GMT", "version": "v5" } ]

2024-08-08

[ [ "Kudler-Flam", "Jonah", "" ], [ "Leutheusser", "Samuel", "" ], [ "Satishchandran", "Gautam", "" ] ]

It was recently shown that the von Neumann algebras of observables dressed to the mass of a Schwarzschild-AdS black hole or an observer in de Sitter are Type II, and thus admit well-defined traces. The von Neumann entropies of "semi-classical" states were found to be generalized entropies. However, these arguments relied on the existence of an equilibrium (KMS) state and thus do not apply to, e.g., black holes formed from gravitational collapse, Kerr black holes, or black holes in asymptotically de Sitter space. In this paper, we present a general framework for obtaining the algebra of dressed observables for linear fields on any spacetime with a Killing horizon. We prove, assuming the existence of a stationary (but not necessarily KMS) state and suitable decay of solutions, a structure theorem that the algebra of dressed observables always contains a Type II factor "localized" on the horizon. These assumptions have been rigorously proven in most cases of interest. Applied to the algebra in the exterior of an asymptotically flat Kerr black hole, where the fields are dressed to the black hole mass and angular momentum, we find a product of a Type II$_{\infty}$ algebra on the horizon and a Type I$_{\infty}$ algebra at past null infinity. In Schwarzschild-de Sitter, despite the fact that we introduce an observer, the quantum field observables are dressed to the perturbed areas of the black hole and cosmological horizons and is the product of Type II$_{\infty}$ algebras on each horizon. In all cases, the von Neumann entropy for semiclassical states is given by the generalized entropy. Our results suggest that in all cases where there exists another "boundary structure" (e.g., an asymptotic boundary or another Killing horizon) the algebra of observables is Type II$_{\infty}$ and in the absence of such structures (e.g., de Sitter) the algebra is Type II$_{1}$.

7.191104

7.402279

7.54614

6.65146

6.656646

7.065708

7.204499

6.703748

6.75402

7.937963

7.10308

7.060128

7.109744

6.749194

6.875261

7.039643

6.943029

6.844646

6.995688

7.155641

7.004678

hep-th/0005263

Kurt Just

Kurt Just and Kam-Yuen Kwong and Zbigniew Oziewicz

Light as Caused by Neither by Bound States nor by Neutrinos

8 pages

null

hep-th

null

Participants of this workshop pursue the old Neutrino Theory of Light vigorously. Other physicists have long ago abandoned it, because it lacks gauge invariance. In the recent Quantum Induction (QI), all basic Bose fields ${\mathcal B}^{P}$ are local limits of quantum fields composed of Dirac's $\Psi$ (for leptons and quarks). The induced field equations of QI even determine all the interactions of those ${\mathcal B}^{P}$. Thus a precise gauge invariance and other physical consequences are unavoidable. They include the absence of divergencies, the exclusion of Pauli terms, a prediction of the Higgs mass and a `minimal' Quantum Gravity. As we find in this paper, however, photons can't be bound states while Maxwell's potential $A_{\mu}$ contains all basic Dirac fields except those of neutrinos.

[ { "created": "Sat, 27 May 2000 18:54:27 GMT", "version": "v1" } ]

2007-05-23

[ [ "Just", "Kurt", "" ], [ "Kwong", "Kam-Yuen", "" ], [ "Oziewicz", "Zbigniew", "" ] ]

Participants of this workshop pursue the old Neutrino Theory of Light vigorously. Other physicists have long ago abandoned it, because it lacks gauge invariance. In the recent Quantum Induction (QI), all basic Bose fields ${\mathcal B}^{P}$ are local limits of quantum fields composed of Dirac's $\Psi$ (for leptons and quarks). The induced field equations of QI even determine all the interactions of those ${\mathcal B}^{P}$. Thus a precise gauge invariance and other physical consequences are unavoidable. They include the absence of divergencies, the exclusion of Pauli terms, a prediction of the Higgs mass and a `minimal' Quantum Gravity. As we find in this paper, however, photons can't be bound states while Maxwell's potential $A_{\mu}$ contains all basic Dirac fields except those of neutrinos.

22.304096

24.290703

23.791645

20.663275

23.328951

23.808491

24.517477

23.515938

21.528736

24.417891

22.224909

19.938911

20.324179

19.953854

20.166624

20.78965

20.395725

19.514347

20.086693

20.035299

19.975786

1311.3393

Pei-Ming Ho

Pei-Ming Ho, Chen-Te Ma

S-Duality for D3-Brane in NS-NS and R-R Backgrounds

29 pages, minor changes

null

10.1007/JHEP11(2014)142

null

hep-th

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

We construct the low-energy effective field theory for a D3-brane in constant R-R 2-form potential background as the S-dual theory of a D3-brane in NS-NS B-field background. Despite the non-Abelian algebra of the noncommutative U(1) gauge symmetry, the electromagnetic duality transformation can be carried out to all orders, and the dual Lagrangian is given in a compact form. The gauge algebra is found to be a mixture of a deformed area-preserving diffeomorphism and the usual U(1) gauge symmetry.

[ { "created": "Thu, 14 Nov 2013 06:53:40 GMT", "version": "v1" }, { "created": "Sat, 30 Nov 2013 17:07:09 GMT", "version": "v2" }, { "created": "Wed, 15 Jan 2014 07:18:02 GMT", "version": "v3" } ]

2015-06-17

[ [ "Ho", "Pei-Ming", "" ], [ "Ma", "Chen-Te", "" ] ]

We construct the low-energy effective field theory for a D3-brane in constant R-R 2-form potential background as the S-dual theory of a D3-brane in NS-NS B-field background. Despite the non-Abelian algebra of the noncommutative U(1) gauge symmetry, the electromagnetic duality transformation can be carried out to all orders, and the dual Lagrangian is given in a compact form. The gauge algebra is found to be a mixture of a deformed area-preserving diffeomorphism and the usual U(1) gauge symmetry.

6.744639

6.090729

6.923349

5.660968

6.528419

5.829891

5.643633

5.752542

5.595563

7.109956

5.825481

6.08064

6.546204

6.021103

6.062864

5.944096

6.081562

5.855864

5.874959

6.598704

5.86227

2009.01830

Nathan Benjamin

Luis F. Alday, Jin-Beom Bae, Nathan Benjamin, Carmen Jorge-Diaz

On the Spectrum of Pure Higher Spin Gravity

33 pages, v2: references added, v3: minor typos corrected, published version

null

10.1007/JHEP12(2020)001

null

hep-th

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

We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function organises into the vacuum character of the ${\cal W}_N$ algebra. Modular invariance puts constraints on the heavy spectrum of the theory, and in particular leads to negative norm states, which would be inconsistent with unitarity. This negativity can be cured by including additional light states, below the black hole threshold but whose mass grows with the central charge. We show that these states can be interpreted as conical defects with deficit angle $2\pi(1-1/M)$. Unitarity allows the inclusion of such defects into the path integral provided $M \geq N$.

[ { "created": "Thu, 3 Sep 2020 17:52:24 GMT", "version": "v1" }, { "created": "Thu, 17 Sep 2020 16:48:21 GMT", "version": "v2" }, { "created": "Thu, 10 Dec 2020 17:09:01 GMT", "version": "v3" } ]

2020-12-30

[ [ "Alday", "Luis F.", "" ], [ "Bae", "Jin-Beom", "" ], [ "Benjamin", "Nathan", "" ], [ "Jorge-Diaz", "Carmen", "" ] ]

We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function organises into the vacuum character of the ${\cal W}_N$ algebra. Modular invariance puts constraints on the heavy spectrum of the theory, and in particular leads to negative norm states, which would be inconsistent with unitarity. This negativity can be cured by including additional light states, below the black hole threshold but whose mass grows with the central charge. We show that these states can be interpreted as conical defects with deficit angle $2\pi(1-1/M)$. Unitarity allows the inclusion of such defects into the path integral provided $M \geq N$.

7.999792

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7.967181

7.982366

8.214597

8.194795

8.112938

7.958904

8.44828

7.779562

0908.0218

Christoph Adam

C. Adam, N. Grandi, P. Klimas, J. Sanchez-Guillen, A. Wereszczynski

Compact boson stars in K field theories

Latex, 45 pages, 25 figures, some references and comments added

Gen.Rel.Grav.42:2663-2701,2010

10.1007/s10714-010-1006-4

null

hep-th astro-ph.CO gr-qc

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

We study a scalar field theory with a non-standard kinetic term minimally coupled to gravity. We establish the existence of compact boson stars, that is, static solutions with compact support of the full system with self-gravitation taken into account. Concretely, there exist two types of solutions, namely compact balls on the one hand, and compact shells on the other hand. The compact balls have a naked singularity at the center. The inner boundary of the compact shells is singular, as well, but it is, at the same time, a Killing horizon. These singular, compact shells therefore resemble black holes.

[ { "created": "Mon, 3 Aug 2009 10:11:07 GMT", "version": "v1" }, { "created": "Wed, 16 Sep 2009 08:59:03 GMT", "version": "v2" } ]

2011-04-20

[ [ "Adam", "C.", "" ], [ "Grandi", "N.", "" ], [ "Klimas", "P.", "" ], [ "Sanchez-Guillen", "J.", "" ], [ "Wereszczynski", "A.", "" ] ]

We study a scalar field theory with a non-standard kinetic term minimally coupled to gravity. We establish the existence of compact boson stars, that is, static solutions with compact support of the full system with self-gravitation taken into account. Concretely, there exist two types of solutions, namely compact balls on the one hand, and compact shells on the other hand. The compact balls have a naked singularity at the center. The inner boundary of the compact shells is singular, as well, but it is, at the same time, a Killing horizon. These singular, compact shells therefore resemble black holes.

7.448984

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7.309165

7.35489

7.755637

7.792677

7.77198

7.436543

7.580629

7.827898

7.286389

0812.4438

Nicolas Boulanger

Nicolas Boulanger, Carlo Iazeolla and Per Sundell

Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization

67 pages, typos corrected, clarifying comments added

JHEP 0907:014,2009

10.1088/1126-6708/2009/07/014

null

hep-th

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

Following the general formalism presented in arXiv:0812.3615 -- referred to as Paper I -- we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of Skvortsov's equations in one higher dimension. The complete unfolded system is embedded into a single master field, valued in a tensorial Schur module realized equivalently via either bosonic (symmetric basis) or fermionic (anti-symmetric basis) vector oscillators. At critical masses the reduced Weyl zero-form modules become indecomposable. We explicitly project the latter onto the submodules carrying Metsaev's massless representations. The remainder of the reduced system contains a set of Stueckelberg fields and dynamical potentials that leads to a smooth flat limit in accordance with the Brink--Metsaev--Vasiliev (BMV) conjecture. In the unitary massless cases in AdS, we identify the Alkalaev--Shaynkman--Vasiliev frame-like potentials and explicitly disentangle their unfolded field equations.

[ { "created": "Tue, 23 Dec 2008 18:25:01 GMT", "version": "v1" }, { "created": "Thu, 28 May 2009 12:50:34 GMT", "version": "v2" } ]

2009-07-22

[ [ "Boulanger", "Nicolas", "" ], [ "Iazeolla", "Carlo", "" ], [ "Sundell", "Per", "" ] ]

Following the general formalism presented in arXiv:0812.3615 -- referred to as Paper I -- we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of Skvortsov's equations in one higher dimension. The complete unfolded system is embedded into a single master field, valued in a tensorial Schur module realized equivalently via either bosonic (symmetric basis) or fermionic (anti-symmetric basis) vector oscillators. At critical masses the reduced Weyl zero-form modules become indecomposable. We explicitly project the latter onto the submodules carrying Metsaev's massless representations. The remainder of the reduced system contains a set of Stueckelberg fields and dynamical potentials that leads to a smooth flat limit in accordance with the Brink--Metsaev--Vasiliev (BMV) conjecture. In the unitary massless cases in AdS, we identify the Alkalaev--Shaynkman--Vasiliev frame-like potentials and explicitly disentangle their unfolded field equations.

16.832628

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15.654526

16.666752

15.004521

22.394394

16.286667

15.580945

15.776926

14.904011

14.92261

15.482718

15.048901

15.200024

14.819196

17.044598

15.352352

1009.4118

Stijn van Tongeren

Gleb Arutyunov, Marius de Leeuw and Stijn J. van Tongeren

Twisting the Mirror TBA

58 pages, 8 figures, 4 tables, v3; as published in JHEP, with a minor correction regarding the supersymmetry of model II

JHEP 1102:025,2011

10.1007/JHEP02(2011)025

null

hep-th

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

We study finite-size corrections to the magnon dispersion relation in three models which differ from string theory on AdS5 x S5 in their boundary conditions. Asymptotically, this is accomplished by twisting the transfer matrix in a way which manifestly preserves integrability. In model I all world-sheet fields are periodic, whereas model II represents a particular orbifold of AdS5 x S5 and model III is a beta-deformed theory. For models I and II we construct the one-particle TBA equations and use them to determine the leading finite-size correction to the asymptotic Bethe equation. We also make some interesting observations concerning the quantization conditions for the momentum. For the same models we compute the leading and for model II the next-to-leading order finite-size corrections to the asymptotic magnon dispersion relation. Furthermore, we apply L\"uscher's formulae to compute the leading finite-size corrections in beta-deformed theory. In addition to reproducing known results, we provide new predictions for two-particle states from the sl(2) sector, to be confronted with explicit field-theoretic calculations in the dual gauge theory. Finally, we prove that the leading finite-size correction to the energy of an sl(2) magnon in orbifold theory is the same as the one for an su(2) magnon in beta-deformed theory for special values of beta. We also speculate that for these values of beta our result for the next-to-leading order correction in the orbifold model might coincide with the corresponding correction to the energy of su(2) magnon in beta-deformed theory.

[ { "created": "Tue, 21 Sep 2010 15:04:20 GMT", "version": "v1" }, { "created": "Thu, 14 Oct 2010 14:27:20 GMT", "version": "v2" }, { "created": "Tue, 22 Mar 2011 16:16:12 GMT", "version": "v3" } ]

2011-03-23

[ [ "Arutyunov", "Gleb", "" ], [ "de Leeuw", "Marius", "" ], [ "van Tongeren", "Stijn J.", "" ] ]

We study finite-size corrections to the magnon dispersion relation in three models which differ from string theory on AdS5 x S5 in their boundary conditions. Asymptotically, this is accomplished by twisting the transfer matrix in a way which manifestly preserves integrability. In model I all world-sheet fields are periodic, whereas model II represents a particular orbifold of AdS5 x S5 and model III is a beta-deformed theory. For models I and II we construct the one-particle TBA equations and use them to determine the leading finite-size correction to the asymptotic Bethe equation. We also make some interesting observations concerning the quantization conditions for the momentum. For the same models we compute the leading and for model II the next-to-leading order finite-size corrections to the asymptotic magnon dispersion relation. Furthermore, we apply L\"uscher's formulae to compute the leading finite-size corrections in beta-deformed theory. In addition to reproducing known results, we provide new predictions for two-particle states from the sl(2) sector, to be confronted with explicit field-theoretic calculations in the dual gauge theory. Finally, we prove that the leading finite-size correction to the energy of an sl(2) magnon in orbifold theory is the same as the one for an su(2) magnon in beta-deformed theory for special values of beta. We also speculate that for these values of beta our result for the next-to-leading order correction in the orbifold model might coincide with the corresponding correction to the energy of su(2) magnon in beta-deformed theory.

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