LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0008120

Amir Masoud Ghezelbash

Amir Masoud Ghezelbash, Shahrokh Parvizi

Gauged Noncommutative Wess-Zumino-Witten Models

10 pages, LaTeX file, references added, to appear in Nucl. Phys. B

Nucl.Phys. B592 (2001) 408-416

10.1016/S0550-3213(00)00600-3

null

hep-th

null

We investigate the Kac-Moody algebra of noncommutative Wess-Zumino-Witten model and find its structure to be the same as the commutative case. Various kinds of gauged noncommutative WZW models are constructed. In particular, noncommutative $U(2)/U(1)$ WZW model is studied and by integrating out the gauge fields, we obtain a noncommutative non-linear $\sigma$-model.

[ { "created": "Tue, 15 Aug 2000 14:27:21 GMT", "version": "v1" }, { "created": "Sat, 14 Oct 2000 12:01:22 GMT", "version": "v2" } ]

2021-09-09

[ [ "Ghezelbash", "Amir Masoud", "" ], [ "Parvizi", "Shahrokh", "" ] ]

We investigate the Kac-Moody algebra of noncommutative Wess-Zumino-Witten model and find its structure to be the same as the commutative case. Various kinds of gauged noncommutative WZW models are constructed. In particular, noncommutative $U(2)/U(1)$ WZW model is studied and by integrating out the gauge fields, we obtain a noncommutative non-linear $\sigma$-model.

5.32702

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4.488615

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4.321844

1809.00541

Orr Sela

Shlomo S. Razamat, Orr Sela, Gabi Zafrir

Curious patterns of IR symmetry enhancement

37 pages + appendices, 5 figures

JHEP 10 (2018) 163

10.1007/JHEP10(2018)163

null

hep-th

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

We study several cases of IR enhancements of global symmetry in four dimensions. In particular, we consider a sequence of $Spin(n+4)$ supersymmetric gauge theories ($8\geq n\geq 1$) with $n$ vectors and spinor matter with $32$ components. We show that the subgroup of the flavor symmetry of these theories rotating the matter in the spinor representations in the UV, when proper gauge singlet fields are added, enhances to the commutant of $SU(2)$ in $E_{9-n}$. We discuss several other interesting cases of enhanced symmetries and the interplay between symmetry enhancement and self-duality. We also make some observations about possible interconnections between chiral ring relations and symmetry enhancement. Finally, we conjecture relations of the discussed models to compactifications of certain conformal matter models in six dimensions on tori. The conjecture is based on deriving a relation between five dimensional models with $Spin$ gauge groups and conformal theories in six dimensions. As a by product of our considerations we discover a new instance of a simple self-duality of a theory with an $SU(6)$ gauge group.

[ { "created": "Mon, 3 Sep 2018 10:42:57 GMT", "version": "v1" } ]

2018-10-26

[ [ "Razamat", "Shlomo S.", "" ], [ "Sela", "Orr", "" ], [ "Zafrir", "Gabi", "" ] ]

We study several cases of IR enhancements of global symmetry in four dimensions. In particular, we consider a sequence of $Spin(n+4)$ supersymmetric gauge theories ($8\geq n\geq 1$) with $n$ vectors and spinor matter with $32$ components. We show that the subgroup of the flavor symmetry of these theories rotating the matter in the spinor representations in the UV, when proper gauge singlet fields are added, enhances to the commutant of $SU(2)$ in $E_{9-n}$. We discuss several other interesting cases of enhanced symmetries and the interplay between symmetry enhancement and self-duality. We also make some observations about possible interconnections between chiral ring relations and symmetry enhancement. Finally, we conjecture relations of the discussed models to compactifications of certain conformal matter models in six dimensions on tori. The conjecture is based on deriving a relation between five dimensional models with $Spin$ gauge groups and conformal theories in six dimensions. As a by product of our considerations we discover a new instance of a simple self-duality of a theory with an $SU(6)$ gauge group.

10.600643

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9.858966

9.907219

9.693594

9.964163

10.488853

9.689362

hep-th/9411231

Patrick Peter

Brandon Carter

Transonic Elastic Model for Wiggly Goto-Nambu String

8 pages, plain TeX, no figures

Phys.Rev.Lett. 74 (1995) 3098-3101

10.1103/PhysRevLett.74.3098

null

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

null

The hitherto controversial proposition that a ``wiggly" Goto-Nambu cosmic string can be effectively represented by an elastic string model of exactly transonic type (with energy density $U$ inversely proportional to its tension $T$) is shown to have a firm mathematical basis.

[ { "created": "Wed, 30 Nov 1994 16:10:13 GMT", "version": "v1" } ]

2009-10-28

[ [ "Carter", "Brandon", "" ] ]

The hitherto controversial proposition that a ``wiggly" Goto-Nambu cosmic string can be effectively represented by an elastic string model of exactly transonic type (with energy density $U$ inversely proportional to its tension $T$) is shown to have a firm mathematical basis.

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16.422831

15.882222

17.239077

18.249125

16.447979

16.773157

16.503468

17.057575

1603.03382

George Siopsis

James Alsup, Eleftherios Papantonopoulos, George Siopsis, Kubra Yeter

Holographic Fermi Liquids in a Spontaneously Generated Lattice

34 pages, 11 figures, PRD version

Phys. Rev. D 93, 105045 (2016)

10.1103/PhysRevD.93.105045

null

hep-th

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

We discuss fermions in a spontaneously generated holographic lattice background. The lattice structure at the boundary is generated by introducing a higher-derivative interaction term between a U(1) gauge field and a scalar field. We solve the equations of motion below the critical temperature at which the lattice forms, and analyze the change in the Fermi surface due to the lattice. The fermion band structure is found to exhibit a band gap due to lattice effects.

[ { "created": "Thu, 10 Mar 2016 19:21:35 GMT", "version": "v1" }, { "created": "Tue, 17 May 2016 19:10:53 GMT", "version": "v2" } ]

2016-06-01

[ [ "Alsup", "James", "" ], [ "Papantonopoulos", "Eleftherios", "" ], [ "Siopsis", "George", "" ], [ "Yeter", "Kubra", "" ] ]

We discuss fermions in a spontaneously generated holographic lattice background. The lattice structure at the boundary is generated by introducing a higher-derivative interaction term between a U(1) gauge field and a scalar field. We solve the equations of motion below the critical temperature at which the lattice forms, and analyze the change in the Fermi surface due to the lattice. The fermion band structure is found to exhibit a band gap due to lattice effects.

8.728461

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8.540921

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7.873435

7.857431

7.77794

7.494064

8.265863

7.555878

hep-th/9603085

Qmw Theory Group

W. A. Sabra

SpaceTime Duality And $SU(n,1)\over SU(n)\otimes U(1)$ Cosets Of Orbifold Compactification

tex-file, 14 pages, an old version of the paper was submitted

Mod.Phys.Lett. A11 (1996) 1497-1508

10.1142/S0217732396001491

RHBNC-TH-95-1

hep-th

null

The duality symmetry group of the cosets ${\textstyle SU(n,1)\over \textstyle SU(n)\otimes U(1)}$, which describe the moduli space of a two-dimensional subspace of an orbifold model with $(n-1)$ complex Wilson lines moduli, is discussed. The full duality group and its explicit action on the moduli fields are derived.

[ { "created": "Wed, 13 Mar 1996 18:47:54 GMT", "version": "v1" }, { "created": "Fri, 15 Mar 1996 14:51:06 GMT", "version": "v2" } ]

2009-10-30

[ [ "Sabra", "W. A.", "" ] ]

The duality symmetry group of the cosets ${\textstyle SU(n,1)\over \textstyle SU(n)\otimes U(1)}$, which describe the moduli space of a two-dimensional subspace of an orbifold model with $(n-1)$ complex Wilson lines moduli, is discussed. The full duality group and its explicit action on the moduli fields are derived.

10.756813

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10.883671

9.38826

9.778373

9.286738

9.631755

8.862343

9.453076

9.884734

9.421388

1402.6147

Io Kawaguchi

Io Kawaguchi, Takuya Matsumoto and Kentaroh Yoshida

A Jordanian deformation of AdS space in type IIB supergravity

29 pages, no figure, LaTeX, typos corrected, references added, further clarification added

null

10.1007/JHEP06(2014)146

KUNS-2484, ITP-UU-14/07, SPIN-14/07

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

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

We consider a Jordanian deformation of the AdS_5xS^5 superstring action by taking a simple R-operator which satisfies the classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with a coordinate system. Only the AdS part is deformed and the resulting geometry contains the 3D Schrodinger spacetime as a subspace. Then we present the full solution in type IIB supergravity by determining the other field components. In particular, the dilaton is constant and a R-R three-form field strength is turned on. The symmetry of the solution is [SL(2,R)xU(1)^2] x [SU(3)xU(1)] and contains an anisotropic scale symmetry.

[ { "created": "Tue, 25 Feb 2014 12:21:13 GMT", "version": "v1" }, { "created": "Mon, 10 Mar 2014 04:14:03 GMT", "version": "v2" } ]

2015-06-18

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

We consider a Jordanian deformation of the AdS_5xS^5 superstring action by taking a simple R-operator which satisfies the classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with a coordinate system. Only the AdS part is deformed and the resulting geometry contains the 3D Schrodinger spacetime as a subspace. Then we present the full solution in type IIB supergravity by determining the other field components. In particular, the dilaton is constant and a R-R three-form field strength is turned on. The symmetry of the solution is [SL(2,R)xU(1)^2] x [SU(3)xU(1)] and contains an anisotropic scale symmetry.

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7.948861

7.237143

7.707353

7.312036

7.378673

7.480822

7.220197

7.898351

7.130938

2302.08548

Dmitry Melnikov

Connectomes and Properties of Quantum Entanglement

28 pages, 7 figures

null

10.1007/JHEP07(2023)015

null

hep-th

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

Topological quantum field theories (TQFT) encode properties of quantum states in the topological features of abstract manifolds. One can use the topological avatars of quantum states to develop intuition about different concepts and phenomena of quantum mechanics. In this paper we focus on the class of simplest topologies provided by a specific TQFT and investigate what the corresponding states teach us about entanglement. These ``planar connectome" states are defined by graphs of simplest topology for a given adjacency matrix. In the case of bipartite systems the connectomes classify different types of entanglement matching the classification of stochastic local operations and classical communication (SLOCC). The topological realization makes explicit the nature of entanglement as a resource and makes apparent a number of its properties, including monogamy and characteristic inequalities for the entanglement entropy. It also provides tools and hints to engineer new measures of entanglement and other applications. Here the approach is used to construct purely topological versions of the dense coding and quantum teleportation protocols, giving diagrammatic interpretation of the role of entanglement in quantum computation and communication. Finally, the topological concepts of entanglement and quantum teleportation are employed in a simple model of information retrieval from a causally disconnected region, similar to the interior of an evaporating black hole.

[ { "created": "Thu, 16 Feb 2023 19:54:17 GMT", "version": "v1" } ]

2023-07-26

[ [ "Melnikov", "Dmitry", "" ] ]

Topological quantum field theories (TQFT) encode properties of quantum states in the topological features of abstract manifolds. One can use the topological avatars of quantum states to develop intuition about different concepts and phenomena of quantum mechanics. In this paper we focus on the class of simplest topologies provided by a specific TQFT and investigate what the corresponding states teach us about entanglement. These ``planar connectome" states are defined by graphs of simplest topology for a given adjacency matrix. In the case of bipartite systems the connectomes classify different types of entanglement matching the classification of stochastic local operations and classical communication (SLOCC). The topological realization makes explicit the nature of entanglement as a resource and makes apparent a number of its properties, including monogamy and characteristic inequalities for the entanglement entropy. It also provides tools and hints to engineer new measures of entanglement and other applications. Here the approach is used to construct purely topological versions of the dense coding and quantum teleportation protocols, giving diagrammatic interpretation of the role of entanglement in quantum computation and communication. Finally, the topological concepts of entanglement and quantum teleportation are employed in a simple model of information retrieval from a causally disconnected region, similar to the interior of an evaporating black hole.

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12.231898

12.509449

12.537306

12.659717

12.531957

12.706911

12.442653

12.496758

12.105827

hep-th/0004090

Itzhak Bars

2T Physics Formulation of Superconformal Dynamics Relating to Twistors and Supertwistors

Latex, 13 pages. More references added

Phys.Lett. B483 (2000) 248-256

10.1016/S0370-2693(00)00591-8

CITUSC/00-019

hep-th

null

The conformal symmetry SO(d,2) of the massless particle in d dimensions, or superconformal symmetry OSp(N|4), SU(2,2|N), OSp(8|N) of the superparticle in d=3,4,6 dimensions respectively, had been previously understood as the global Lorentz symmetry and supersymmetries of 2T physics in d+2 dimensions. By utilising the gauge symmetries of 2T physics, it is shown that the dynamics can be cast in terms of superspace coordinates, momenta and theta variables or in terms of supertwistor variables a la Penrose and Ferber. In 2T physics these can be gauge transformed to each other. In the supertwistor version the quantization of the model amounts to the well known oscillator formalism for non-compact supergroups.

[ { "created": "Wed, 12 Apr 2000 22:41:05 GMT", "version": "v1" }, { "created": "Wed, 3 May 2000 03:48:55 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bars", "Itzhak", "" ] ]

The conformal symmetry SO(d,2) of the massless particle in d dimensions, or superconformal symmetry OSp(N|4), SU(2,2|N), OSp(8|N) of the superparticle in d=3,4,6 dimensions respectively, had been previously understood as the global Lorentz symmetry and supersymmetries of 2T physics in d+2 dimensions. By utilising the gauge symmetries of 2T physics, it is shown that the dynamics can be cast in terms of superspace coordinates, momenta and theta variables or in terms of supertwistor variables a la Penrose and Ferber. In 2T physics these can be gauge transformed to each other. In the supertwistor version the quantization of the model amounts to the well known oscillator formalism for non-compact supergroups.

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7.639274

2407.21617

Shan-Ming Ruan

Peng-Xiang Hao, Taishi Kawamoto, Shan-Ming Ruan, Tadashi Takayanagi

Non-extremal Island in de Sitter Gravity

64 pages, 20 figures; v2:added an important reference

null

YITP-24-91

hep-th gr-qc

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

This paper investigates the challenges and resolutions in computing the entanglement entropy for the quantum field theory coupled to de Sitter (dS) gravity along a timelike boundary. The conventional island formula, originally designed to calculate the fine-grained entropy for a non-gravitational system coupled to anti-de Sitter (AdS) gravity, encounters difficulties in de Sitter gravitational spacetime, failing to provide a physically plausible extremal island. To overcome these problems, we introduce a doubly holographic model by embedding a dS$_2$ braneworld in an AdS$_3$ bulk spacetime. This approach facilitates the computation of entanglement entropy through holographic correlation functions, effectively circumventing the constraints of the island formula. We demonstrate that the correct recipe for calculating entanglement entropy with dS gravity involves the non-extremal island, whose boundary is instead defined at the edge of the dS gravitational region. Our findings indicate that, during the island phase, the entanglement wedge of the non-gravitational bath includes the entire dS gravitational space. Using the second variation formula, we further show that the existence of a locally minimal surface anchored on the gravitational brane is intrinsically linked to the extrinsic curvature of the brane.

[ { "created": "Wed, 31 Jul 2024 14:08:50 GMT", "version": "v1" }, { "created": "Mon, 5 Aug 2024 15:14:22 GMT", "version": "v2" } ]

2024-08-06

[ [ "Hao", "Peng-Xiang", "" ], [ "Kawamoto", "Taishi", "" ], [ "Ruan", "Shan-Ming", "" ], [ "Takayanagi", "Tadashi", "" ] ]

This paper investigates the challenges and resolutions in computing the entanglement entropy for the quantum field theory coupled to de Sitter (dS) gravity along a timelike boundary. The conventional island formula, originally designed to calculate the fine-grained entropy for a non-gravitational system coupled to anti-de Sitter (AdS) gravity, encounters difficulties in de Sitter gravitational spacetime, failing to provide a physically plausible extremal island. To overcome these problems, we introduce a doubly holographic model by embedding a dS$_2$ braneworld in an AdS$_3$ bulk spacetime. This approach facilitates the computation of entanglement entropy through holographic correlation functions, effectively circumventing the constraints of the island formula. We demonstrate that the correct recipe for calculating entanglement entropy with dS gravity involves the non-extremal island, whose boundary is instead defined at the edge of the dS gravitational region. Our findings indicate that, during the island phase, the entanglement wedge of the non-gravitational bath includes the entire dS gravitational space. Using the second variation formula, we further show that the existence of a locally minimal surface anchored on the gravitational brane is intrinsically linked to the extrinsic curvature of the brane.

9.144483

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8.282868

2308.08616

Pieter Bomans

Pieter Bomans, Christopher Couzens, Yein Lee, and Sirui Ning

Symmetry Breaking and Consistent Truncations from M5-branes Wrapping a Disc

Minor typos fixed. Version accepted for publication in JHEP

null

hep-th

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

We construct new supersymmetric solutions corresponding to M5-branes wrapped on a topological disc by turning on additional scalars in the background. The presence of such scalar fields breaks one of the U(1) isometries of the internal space, explicitly realising the breaking by the Stuckelberg mechanism observed previously. In addition, we construct a consistent truncation of maximal seven-dimensional gauged supergravity on the disc to five-dimensional Romans' SU (2) x U(1) gauged supergravity, allowing us to construct a plethora of new supergravity solutions corresponding to more general states in the dual SCFTs as well as solutions corresponding to M5-branes wrapping four-dimensional orbifolds.

[ { "created": "Wed, 16 Aug 2023 18:20:27 GMT", "version": "v1" }, { "created": "Thu, 11 Jan 2024 09:05:35 GMT", "version": "v2" } ]

2024-01-12

[ [ "Bomans", "Pieter", "" ], [ "Couzens", "Christopher", "" ], [ "Lee", "Yein", "" ], [ "Ning", "Sirui", "" ] ]

We construct new supersymmetric solutions corresponding to M5-branes wrapped on a topological disc by turning on additional scalars in the background. The presence of such scalar fields breaks one of the U(1) isometries of the internal space, explicitly realising the breaking by the Stuckelberg mechanism observed previously. In addition, we construct a consistent truncation of maximal seven-dimensional gauged supergravity on the disc to five-dimensional Romans' SU (2) x U(1) gauged supergravity, allowing us to construct a plethora of new supergravity solutions corresponding to more general states in the dual SCFTs as well as solutions corresponding to M5-branes wrapping four-dimensional orbifolds.

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2212.05902

Ming Zhang

Ming Zhang, Chaoxi Fang, Jie Jiang

Holographic complexity of rotating black holes with conical deficits

20 pages

null

10.1016/j.physletb.2023.137691

null

hep-th gr-qc

http://creativecommons.org/licenses/by-nc-nd/4.0/

Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to holographic states with rotation and conical deficits in the boundary quantum system. Upon obtaining an implicit form of the Wheeler-DeWitt patch, we evaluate the action and show that the growth rate of the CA complexity violates volume-scaling formulation in large black hole limit due to the non-trivial contribution from the not-too-small acceleration of the black hole. Moreover, in an ensemble with fixed entropy, pressure, and angular momentum, we also find that complexity of formation decreases with both the average and difference of the conical deficits on the poles when the black hole is close to the static limit but increases with the deficits when the black hole is close to the extremal regime.

[ { "created": "Mon, 12 Dec 2022 14:02:54 GMT", "version": "v1" } ]

2023-02-08

[ [ "Zhang", "Ming", "" ], [ "Fang", "Chaoxi", "" ], [ "Jiang", "Jie", "" ] ]

Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to holographic states with rotation and conical deficits in the boundary quantum system. Upon obtaining an implicit form of the Wheeler-DeWitt patch, we evaluate the action and show that the growth rate of the CA complexity violates volume-scaling formulation in large black hole limit due to the non-trivial contribution from the not-too-small acceleration of the black hole. Moreover, in an ensemble with fixed entropy, pressure, and angular momentum, we also find that complexity of formation decreases with both the average and difference of the conical deficits on the poles when the black hole is close to the static limit but increases with the deficits when the black hole is close to the extremal regime.

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1110.4816

Patricio Gaete

Some Considerations About Podolsky-Axionic Electrodynamics

11 pages

null

10.1142/S0217751X12500613

null

hep-th

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

For a Podolsky-axionic electrodynamics, we compute the interaction potential within the structure of the gauge-invariant but path-dependent variables formalism. The result is equivalent to that of axionic electrodynamics from a new noncommutative approach, up to first order in $\theta$.

[ { "created": "Fri, 21 Oct 2011 15:10:19 GMT", "version": "v1" } ]

2015-05-30

[ [ "Gaete", "Patricio", "" ] ]

For a Podolsky-axionic electrodynamics, we compute the interaction potential within the structure of the gauge-invariant but path-dependent variables formalism. The result is equivalent to that of axionic electrodynamics from a new noncommutative approach, up to first order in $\theta$.

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1109.4186

Stephane Detournay

St\'ephane Detournay, Joshua M. Lapan, and Mauricio Romo

SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2

16 pages; v2: references added

null

10.1007/JHEP01(2012)006

NSF-KITP-11-200; ULB-TH/11-12

hep-th

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

We discuss a marginal deformation of the SL(2,R) x SU(2) x U(1)^4 WZW model, which describes string theory on AdS_3 x S^3 x T^4, that corresponds to warping the S^3 factor. This deformation breaks part of the N=(4,4) supersymmetry of the undeformed dual CFT to N=(0,4) supersymmetry. In the spirit of work by Giveon, Kutasov, and Seiberg, we construct the asymptotic spacetime symmetry algebra from worldsheet operators and find a restoration of (4,4) supersymmetry at discrete values of the deformation parameter. We explain this result from various perspectives: the worldsheet, supergravity, and from the singular D1-D5 CFT. The supergravity analysis includes an asymptotic symmetry computation of the level of the affine SU(2) R-symmetry, which arises purely from B-field contributions.

[ { "created": "Mon, 19 Sep 2011 22:52:51 GMT", "version": "v1" }, { "created": "Mon, 31 Oct 2011 19:38:42 GMT", "version": "v2" }, { "created": "Mon, 7 Nov 2011 22:52:04 GMT", "version": "v3" } ]

2015-05-30

[ [ "Detournay", "Stéphane", "" ], [ "Lapan", "Joshua M.", "" ], [ "Romo", "Mauricio", "" ] ]

We discuss a marginal deformation of the SL(2,R) x SU(2) x U(1)^4 WZW model, which describes string theory on AdS_3 x S^3 x T^4, that corresponds to warping the S^3 factor. This deformation breaks part of the N=(4,4) supersymmetry of the undeformed dual CFT to N=(0,4) supersymmetry. In the spirit of work by Giveon, Kutasov, and Seiberg, we construct the asymptotic spacetime symmetry algebra from worldsheet operators and find a restoration of (4,4) supersymmetry at discrete values of the deformation parameter. We explain this result from various perspectives: the worldsheet, supergravity, and from the singular D1-D5 CFT. The supergravity analysis includes an asymptotic symmetry computation of the level of the affine SU(2) R-symmetry, which arises purely from B-field contributions.

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6.081388

9.4488

6.187344

6.082715

6.973062

6.497568

6.452085

6.214903

6.173858

6.411339

6.31735

7.124065

6.253592

0907.3186

Andrew Koshelkin V.

A.V.Koshelkin

Dirac Equation in External Non-Abelian Gauge Field in Plane Wave Approximation

5 pages

null

hep-th

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

The exact solutions of the Dirac equation in an external non-abelian SU(N) gauge field which is in the form of a plane wave on the light cone is obtained. The whole set of the solutions for both particles and anti-particle is constructed.

[ { "created": "Sun, 19 Jul 2009 06:26:22 GMT", "version": "v1" } ]

2009-07-21

[ [ "Koshelkin", "A. V.", "" ] ]

The exact solutions of the Dirac equation in an external non-abelian SU(N) gauge field which is in the form of a plane wave on the light cone is obtained. The whole set of the solutions for both particles and anti-particle is constructed.

11.127036

9.365794

8.355293

8.753523

9.909931

8.434097

9.167244

8.035525

7.805586

9.571614

8.719869

8.951617

9.490499

8.687778

9.125371

9.527491

8.988776

8.619361

8.506662

8.804936

8.718855

hep-th/0609154

Skenderis Kostas

Kostas Skenderis and Marika Taylor

Fuzzball solutions for black holes and D1-brane--D5-brane microstates

4 pages, PRL version

Phys.Rev.Lett.98:071601,2007

10.1103/PhysRevLett.98.071601

ITFA-2006-33

hep-th

null

We revisit the relation between fuzzball solutions and D1-D5 microstates. A consequence of the fact that the R ground states (in the usual basis) are eigenstates of the R-charge is that only neutral operators can have non-vanishing expectation values on these states. We compute the holographic 1-point functions of the fuzzball solutions and find that charged chiral primaries have non-zero expectation values, except when the curve characterizing the solution is circular. The non-zero vevs reflect the fact that a generic curve breaks R-symmetry completely. This implies that fuzzball solutions (excepting circular ones) can only correspond to superpositions of R states and we give a proposal for the superposition corresponding to a given curve. We also address the question of what would be the geometric dual of a given R ground state.

[ { "created": "Fri, 22 Sep 2006 19:33:33 GMT", "version": "v1" }, { "created": "Tue, 13 Feb 2007 10:38:36 GMT", "version": "v2" } ]

2008-11-26

[ [ "Skenderis", "Kostas", "" ], [ "Taylor", "Marika", "" ] ]

We revisit the relation between fuzzball solutions and D1-D5 microstates. A consequence of the fact that the R ground states (in the usual basis) are eigenstates of the R-charge is that only neutral operators can have non-vanishing expectation values on these states. We compute the holographic 1-point functions of the fuzzball solutions and find that charged chiral primaries have non-zero expectation values, except when the curve characterizing the solution is circular. The non-zero vevs reflect the fact that a generic curve breaks R-symmetry completely. This implies that fuzzball solutions (excepting circular ones) can only correspond to superpositions of R states and we give a proposal for the superposition corresponding to a given curve. We also address the question of what would be the geometric dual of a given R ground state.

9.469989

9.172975

11.050542

9.064189

10.025441

9.875729

9.346356

8.745027

8.855489

12.09065

9.045349

8.754082

9.800475

8.774246

9.259558

9.123769

8.896388

8.855406

8.652299

9.845366

8.767548

hep-th/0205121

Lev Kofman

Lev Kofman (CITA) and Andrei Linde (Stanford)

Problems with Tachyon Inflation

13 pages

JHEP 0207:004,2002

10.1088/1126-6708/2002/07/004

CITA-2002-14

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

null

We consider cosmological consequences of string theory tachyon condensation. We show that it is very difficult to obtain inflation in the simplest versions of this theory. Typically, inflation in these theories could occur only at super-Planckian densities, where the effective 4D field theory is inapplicable. Reheating and creation of matter in models where the tachyon potential V(T) has a minimum at infinitely large T is problematic because the tachyon field in such theories does not oscillate. If the universe after inflation is dominated by the energy density of the tachyon condensate, it will always remain dominated by the tachyons. It might happen that string condensation is responsible for a short stage of inflation at a nearly Planckian density, but one would need to have a second stage of inflation after that. This would imply that the tachyon played no role in the post-inflationary universe until the very late stages of its evolution. These problems do not appear in the recently proposed models of hybrid inflation where the complex tachyon field has a minimum at T << M_p.

[ { "created": "Tue, 14 May 2002 19:49:47 GMT", "version": "v1" } ]

2009-11-07

[ [ "Kofman", "Lev", "", "CITA" ], [ "Linde", "Andrei", "", "Stanford" ] ]

We consider cosmological consequences of string theory tachyon condensation. We show that it is very difficult to obtain inflation in the simplest versions of this theory. Typically, inflation in these theories could occur only at super-Planckian densities, where the effective 4D field theory is inapplicable. Reheating and creation of matter in models where the tachyon potential V(T) has a minimum at infinitely large T is problematic because the tachyon field in such theories does not oscillate. If the universe after inflation is dominated by the energy density of the tachyon condensate, it will always remain dominated by the tachyons. It might happen that string condensation is responsible for a short stage of inflation at a nearly Planckian density, but one would need to have a second stage of inflation after that. This would imply that the tachyon played no role in the post-inflationary universe until the very late stages of its evolution. These problems do not appear in the recently proposed models of hybrid inflation where the complex tachyon field has a minimum at T << M_p.

7.352325

7.19995

7.348957

7.173533

7.642227

7.706587

7.583606

7.377669

7.457112

8.233351

7.405017

7.061179

7.24899

7.21166

7.332832

7.371928

7.108022

7.071347

7.14621

7.18146

7.05337

1403.0578

Christopher Herzog

John Cardy and Christopher P. Herzog

Universal Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories

5 pages, 1 figure; v2 minor clarifications added, to appear in PRL

Phys. Rev. Lett. 112, 171603 (2014)

10.1103/PhysRevLett.112.171603

null

hep-th cond-mat.other quant-ph

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

We consider single interval R\'enyi and entanglement entropies for a two dimensional conformal field theory on a circle at nonzero temperature. Assuming that the finite size of the system introduces a unique ground state with a nonzero mass gap, we calculate the leading corrections to the R\'enyi and entanglement entropy in a low temperature expansion. These corrections have a universal form for any two dimensional conformal field theory that depends only on the size of the mass gap and its degeneracy. We analyze the limits where the size of the interval becomes small and where it becomes close to the size of the spatial circle.

[ { "created": "Mon, 3 Mar 2014 21:00:30 GMT", "version": "v1" }, { "created": "Mon, 14 Apr 2014 15:05:24 GMT", "version": "v2" } ]

2014-05-07

[ [ "Cardy", "John", "" ], [ "Herzog", "Christopher P.", "" ] ]

We consider single interval R\'enyi and entanglement entropies for a two dimensional conformal field theory on a circle at nonzero temperature. Assuming that the finite size of the system introduces a unique ground state with a nonzero mass gap, we calculate the leading corrections to the R\'enyi and entanglement entropy in a low temperature expansion. These corrections have a universal form for any two dimensional conformal field theory that depends only on the size of the mass gap and its degeneracy. We analyze the limits where the size of the interval becomes small and where it becomes close to the size of the spatial circle.

6.656983

4.931094

5.905389

5.148131

5.721169

5.367139

5.178578

5.146706

5.036972

6.945752

5.330084

5.531713

6.02488

5.716296

5.685033

5.57965

5.623478

5.781937

5.790987

6.000903

5.54718

1908.08695

Jakob Palmkvist

Martin Cederwall, Jakob Palmkvist

Tensor hierarchy algebras and extended geometry I: Construction of the algebra

45 pp

null

10.1007/JHEP02(2020)144

null

hep-th math.QA

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

Tensor hierarchy algebras constitute a class of non-contragredient Lie superalgebras, whose finite-dimensional members are the "Cartan-type" Lie superalgebras in Kac's classification. They have applications in mathematical physics, especially in extended geometry and gauged supergravity. We further develop the recently proposed definition of tensor hierarchy algebras in terms of generators and relations encoded in a Dynkin diagram (which coincides with the diagram for a related Borcherds superalgebra). We apply it to cases where a grey node is added to the Dynkin diagram of a rank $r+1$ Kac-Moody algebra $\mathfrak{g}^+$, which in turn is an extension of a rank $r$ finite-dimensional semisimple simply laced Lie algebra $\mathfrak{g}$. The algebras are specified by $\mathfrak{g}$ together with a dominant integral weight $\lambda$. As a by-product, a remarkable identity involving representation matrices for arbitrary integral highest weight representations of $\mathfrak{g}$ is proven. An accompanying paper describes the application of tensor hierarchy algebras to the gauge structure and dynamics in models of extended geometry.

[ { "created": "Fri, 23 Aug 2019 07:10:04 GMT", "version": "v1" } ]

2020-03-18

[ [ "Cederwall", "Martin", "" ], [ "Palmkvist", "Jakob", "" ] ]

Tensor hierarchy algebras constitute a class of non-contragredient Lie superalgebras, whose finite-dimensional members are the "Cartan-type" Lie superalgebras in Kac's classification. They have applications in mathematical physics, especially in extended geometry and gauged supergravity. We further develop the recently proposed definition of tensor hierarchy algebras in terms of generators and relations encoded in a Dynkin diagram (which coincides with the diagram for a related Borcherds superalgebra). We apply it to cases where a grey node is added to the Dynkin diagram of a rank $r+1$ Kac-Moody algebra $\mathfrak{g}^+$, which in turn is an extension of a rank $r$ finite-dimensional semisimple simply laced Lie algebra $\mathfrak{g}$. The algebras are specified by $\mathfrak{g}$ together with a dominant integral weight $\lambda$. As a by-product, a remarkable identity involving representation matrices for arbitrary integral highest weight representations of $\mathfrak{g}$ is proven. An accompanying paper describes the application of tensor hierarchy algebras to the gauge structure and dynamics in models of extended geometry.

6.330866

6.479019

7.822657

6.218875

6.673345

7.787383

7.170648

6.825641

6.530785

7.86696

6.415018

6.423938

6.962938

6.320637

6.415827

6.379044

6.400022

6.287582

6.423971

6.8356

6.242215

hep-th/0208133

Anatoly Shabad

A.E.Shabad (Lebedev Phys. Inst., Moscow)

Singular Centre in Quantum Mechanics as a Black Hole

23 pages, 1 table; Latex needs setstack.sty, iopart12.clo, iopart.cls

null

FIAN/TD/02-13

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

null

We consider the radial Schroedinger equation with an attractive potential singular in the origin. The additional continuum of states caused by the singularity, that usually remain nontreatable, are shown to correspond to particles, asymptotically free near the singularity (in the inner channel). Depending on kinematics, they are either confined by the centre or may escape to infinity (to the outer channel). The orthonormality within the continuum of confined states is established and the scattering phase of the particle emitted by the centre and then reflected back to it is found. For the deconfinement case a unitary 2x2 S-matrix is found in terms of the Jost functions, and describes transitions within and between the two channels. The volume elements in the two channels are different. The two-channel situation is analogous to the known behaviour of radiation in the black hole metrics. We discuss the black hole essence of singularly attracting centre for classical motion and the relativity of time inherent to this problem.

[ { "created": "Mon, 19 Aug 2002 18:08:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Shabad", "A. E.", "", "Lebedev Phys. Inst., Moscow" ] ]

We consider the radial Schroedinger equation with an attractive potential singular in the origin. The additional continuum of states caused by the singularity, that usually remain nontreatable, are shown to correspond to particles, asymptotically free near the singularity (in the inner channel). Depending on kinematics, they are either confined by the centre or may escape to infinity (to the outer channel). The orthonormality within the continuum of confined states is established and the scattering phase of the particle emitted by the centre and then reflected back to it is found. For the deconfinement case a unitary 2x2 S-matrix is found in terms of the Jost functions, and describes transitions within and between the two channels. The volume elements in the two channels are different. The two-channel situation is analogous to the known behaviour of radiation in the black hole metrics. We discuss the black hole essence of singularly attracting centre for classical motion and the relativity of time inherent to this problem.

16.77095

17.123266

17.851255

17.114862

17.546242

17.956217

16.992868

15.958272

16.525021

18.044306

16.553474

16.90601

17.011896

16.662741

16.677635

16.790422

16.907799

16.00288

16.173847

16.651653

15.963649

2106.14376

Zhong-Ying Fan

On holographic braneworld cosmology

More discussions on boundary conditions given in Appendix; 32pages+6figures

null

hep-th

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

Recently, S. Antonini and B. Swingle builded a holographic model for braneworld cosmology by introducing an ``end-of-the-world" (ETW) brane moving in a charged black hole spactime. In this paper, we will show that a holographic description of braneworld cosmology is possible for a general black hole spacetime with a pure tension brane if one implements a mixed boundary condition on the ETW brane. As a simple example, we study AdS-Schwarzschild black holes and show that a sensible Euclidean braneworld solution is compatible with localization of gravity on the ETW brane.

[ { "created": "Mon, 28 Jun 2021 02:42:36 GMT", "version": "v1" }, { "created": "Thu, 8 Jul 2021 07:03:18 GMT", "version": "v2" } ]

2021-07-09

[ [ "Fan", "Zhong-Ying", "" ] ]

Recently, S. Antonini and B. Swingle builded a holographic model for braneworld cosmology by introducing an ``end-of-the-world" (ETW) brane moving in a charged black hole spactime. In this paper, we will show that a holographic description of braneworld cosmology is possible for a general black hole spacetime with a pure tension brane if one implements a mixed boundary condition on the ETW brane. As a simple example, we study AdS-Schwarzschild black holes and show that a sensible Euclidean braneworld solution is compatible with localization of gravity on the ETW brane.

9.794178

9.550957

10.764187

9.206303

9.250427

9.029973

10.062134

9.45445

9.136906

10.491008

8.907341

9.319395

9.417312

9.186619

9.311276

8.937922

8.787038

9.063137

9.028856

9.46377

9.071498

1904.13057

Andrea Carosso

Stochastic Renormalization Group and Gradient Flow

18 pages

null

10.1007/JHEP01(2020)172

null

hep-th hep-lat

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

A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carlo RG that is amenable to lattice simulation. Long-distance correlations of the effective theory are shown to approach gradient-flowed correlations, which are simpler to measure. The Markov property of the stochastic RG transformation implies an RG scaling formula which allows for the measurement of anomalous dimensions when transcribed into gradient flow expectation values.

[ { "created": "Tue, 30 Apr 2019 05:48:26 GMT", "version": "v1" }, { "created": "Thu, 29 Aug 2019 00:50:04 GMT", "version": "v2" } ]

2020-02-19

[ [ "Carosso", "Andrea", "" ] ]

A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carlo RG that is amenable to lattice simulation. Long-distance correlations of the effective theory are shown to approach gradient-flowed correlations, which are simpler to measure. The Markov property of the stochastic RG transformation implies an RG scaling formula which allows for the measurement of anomalous dimensions when transcribed into gradient flow expectation values.

19.656782

21.905357

19.146877

18.924559

19.009016

18.878429

21.217108

17.993338

17.855976

20.009684

16.860033

17.581207

17.53936

17.61199

18.060501

18.005894

17.629593

17.79427

17.823341

17.638649

17.293781

hep-th/0111270

Oleg Shvedov

Oleg Yu. Shvedov

On Correspondence of BRST-BFV, Dirac and Refined Algebraic Quantizations of Constrained Systems

RevTeX, 17 pages, detailed version of hep-th/0106250 and hep-th/0107064

Annals Phys. 302 (2002) 2-21

10.1006/aphy.2002.6305

null

hep-th

null

Correspondence between BRST-BFV, Dirac and refined algebraic (group averaging, projection operator) approaches to quantize constrained systems is analyzed. For the closed-algebra case, it is shown that the component of the BFV wave function with maximal (minimal) number of ghosts and antighosts in the Schrodinger representation may be viewed as a wave function in the refined algebraic (Dirac) quantization approach. The Giulini-Marolf group averaging formula for the inner product in the refined algebraic quantization approach is obtained from the Batalin-Marnelius prescription for the BRST-BFV inner product which should be generally modified due to topological problems. The considered prescription for the correspondence of states is observed to be applicable to the open-algebra case. Refined algebraic quantization approach is generalized then to the case of nontrivial structure functions. A simple example is discussed. Correspondence of observables in different quantization methods is also investigated.

[ { "created": "Thu, 29 Nov 2001 12:53:31 GMT", "version": "v1" } ]

2009-11-07

[ [ "Shvedov", "Oleg Yu.", "" ] ]

Correspondence between BRST-BFV, Dirac and refined algebraic (group averaging, projection operator) approaches to quantize constrained systems is analyzed. For the closed-algebra case, it is shown that the component of the BFV wave function with maximal (minimal) number of ghosts and antighosts in the Schrodinger representation may be viewed as a wave function in the refined algebraic (Dirac) quantization approach. The Giulini-Marolf group averaging formula for the inner product in the refined algebraic quantization approach is obtained from the Batalin-Marnelius prescription for the BRST-BFV inner product which should be generally modified due to topological problems. The considered prescription for the correspondence of states is observed to be applicable to the open-algebra case. Refined algebraic quantization approach is generalized then to the case of nontrivial structure functions. A simple example is discussed. Correspondence of observables in different quantization methods is also investigated.

10.073998

10.295993

10.55431

9.069118

11.371405

10.807672

10.511868

9.920945

9.663813

10.541089

9.604183

10.235423

9.405107

9.373855

10.107069

10.027547

10.326826

9.758252

9.705067

9.797611

9.716339

hep-th/9606131

Yuri N. Obukhov

Yuri N. Obukhov and Franz E. Schunck

Vortices, flux tubes and other structures in the Ginzburg-Landau model: a possible fine structure of the mixed state?

13 p., Revtex, 5 postscript figures included

null

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

null

We present new regular static isolated cylindrically symmetric solutions for the Ginzburg-Landau model which have finite Gibbs free energy. These configurations (which we call the {\it flux tube} and {\it type B} solutions) are energetically favorable in the interval of the external magnetic fields between the thermodynamic critical value $H_{c}$ and the upper critical field $H_{c_2}$ which indicates that they are important new elements of the mixed state describing a transition from vortices to the normal state.

[ { "created": "Thu, 20 Jun 1996 17:09:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Obukhov", "Yuri N.", "" ], [ "Schunck", "Franz E.", "" ] ]

We present new regular static isolated cylindrically symmetric solutions for the Ginzburg-Landau model which have finite Gibbs free energy. These configurations (which we call the {\it flux tube} and {\it type B} solutions) are energetically favorable in the interval of the external magnetic fields between the thermodynamic critical value $H_{c}$ and the upper critical field $H_{c_2}$ which indicates that they are important new elements of the mixed state describing a transition from vortices to the normal state.

12.253732

10.208148

11.77362

10.077919

11.043831

11.575811

11.809942

9.601707

10.04723

11.723698

10.25948

10.149137

11.573868

10.777768

10.832788

11.025367

10.931271

10.579552

11.098268

12.462225

10.838023

hep-th/9606019

Lawrence Horwitz

Stephen L. Adler and L.P. Horwitz

Algebra of Conserved Generators and Statistical Ensembles in Generalized Quantum Dynamics

15 pages, plain TeX. Corrected report number only

null

IASSNS-HEP-96/39

hep-th

null

We study here the algebraic structure of the conserved generators from which the microcanonical and canonical ensembles are constructed on an underlying generalized quantum dynamics, and the flows they induce on the phase space. We also discuss briefly the structure of the microcanonical and canonical ensembles.

[ { "created": "Tue, 4 Jun 1996 22:31:33 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 1996 14:18:00 GMT", "version": "v2" } ]

2008-02-03

[ [ "Adler", "Stephen L.", "" ], [ "Horwitz", "L. P.", "" ] ]

We study here the algebraic structure of the conserved generators from which the microcanonical and canonical ensembles are constructed on an underlying generalized quantum dynamics, and the flows they induce on the phase space. We also discuss briefly the structure of the microcanonical and canonical ensembles.

13.640438

12.131397

12.181933

11.568982

12.092984

14.597267

13.125136

11.554729

13.296413

12.918119

12.737442

12.918816

13.232923

13.253131

13.384249

13.727633

13.790239

13.203076

13.425893

13.086134

12.697186

2111.12655

Vikas Yadav

String/${\cal M}$-theory Dual of Large-$N$ Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology

285 pages, 2 figures, 13 tables; based on Ph.D. thesis successfully defended on Nov 19, 2021 and arXiv:1703.01306, arXiv:1707.02818, arXiv:1808.01182, arXiv:2011.04660, arXiv:2004.07259

null

hep-th

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

Considering the setup of arXiv:0902.1540 [hep-th] involving UV-complete top-down type IIB holographic dual of large-N thermal QCD with a fluxed resolved warped deformed conifold, in arXiv:1306.4339 [hep-th] delocalized type IIA S(trominger)-Y(au)-Z(aslow)mirror of the type IIB background of arXiv:0902.1540 [hep-th] was constructed via three T dualities along a special Lagrangian $T^{3}$ fibered over a large base and then uplifted, locally, to the 11-dimensional ${\cal M}$-theory. Considering the aforementioned setup arXiv:1306.4339 [hep-th] in the `MQGP' limit, in arXiv:1703.01306 [hep-th] we obtained the masses of the $0^{++}, 0^{-+},0^{--}, 1^{++}, 2^{++}$ (`glueball') states. We also obtained analytical expressions for the vector and scalar meson spectra in arXiv:1707.02818 [hep-th]. We used WKB quantization conditions and Neumann/Dirichlet boundary conditions at an IR cut-off (`$r_0$')/horizon radius (`$r_h$') on the solutions to the equations of motion. We also discussed the $r_h=0$-limits of all calculations which correspond to the thermal background. Subsequently, in arXiv:1808.01182 [hep-th] we obtained the interaction Lagrangian corresponding to exotic scalar glueball $\left( G_{E}\right)-\rho/\pi$- meson. Assuming $M_G>2M_\rho$, we then computed $\rho\rightarrow2\pi, G_E\rightarrow2\pi, 2\rho, \rho+2\pi$ decay widths as well as the direct and indirect (mediated via $\rho$ mesons) $G_E\rightarrow4\pi$ decays. In arXiv:2004.07259 [hep-th] we obtained ${\cal O}\left(l_p^6\right)$ corrections to the MQGP background of arXiv:1306.4339 [hep-th] to study a top-down holographic dual of the thermal QCD-like theories at intermediate 't Hooft coupling and in arXiv:2011.04660 [hep-th] we obtained the values of the coupling constants of the ${\cal O}(p^4)$ $\chi$PT Lagrangian in the chiral limit, inclusive of the ${\cal O}(R^4)$ corrections.

[ { "created": "Wed, 24 Nov 2021 17:35:04 GMT", "version": "v1" } ]

2021-12-01

[ [ "Yadav", "Vikas", "" ] ]

Considering the setup of arXiv:0902.1540 [hep-th] involving UV-complete top-down type IIB holographic dual of large-N thermal QCD with a fluxed resolved warped deformed conifold, in arXiv:1306.4339 [hep-th] delocalized type IIA S(trominger)-Y(au)-Z(aslow)mirror of the type IIB background of arXiv:0902.1540 [hep-th] was constructed via three T dualities along a special Lagrangian $T^{3}$ fibered over a large base and then uplifted, locally, to the 11-dimensional ${\cal M}$-theory. Considering the aforementioned setup arXiv:1306.4339 [hep-th] in the `MQGP' limit, in arXiv:1703.01306 [hep-th] we obtained the masses of the $0^{++}, 0^{-+},0^{--}, 1^{++}, 2^{++}$ (`glueball') states. We also obtained analytical expressions for the vector and scalar meson spectra in arXiv:1707.02818 [hep-th]. We used WKB quantization conditions and Neumann/Dirichlet boundary conditions at an IR cut-off (`$r_0$')/horizon radius (`$r_h$') on the solutions to the equations of motion. We also discussed the $r_h=0$-limits of all calculations which correspond to the thermal background. Subsequently, in arXiv:1808.01182 [hep-th] we obtained the interaction Lagrangian corresponding to exotic scalar glueball $\left( G_{E}\right)-\rho/\pi$- meson. Assuming $M_G>2M_\rho$, we then computed $\rho\rightarrow2\pi, G_E\rightarrow2\pi, 2\rho, \rho+2\pi$ decay widths as well as the direct and indirect (mediated via $\rho$ mesons) $G_E\rightarrow4\pi$ decays. In arXiv:2004.07259 [hep-th] we obtained ${\cal O}\left(l_p^6\right)$ corrections to the MQGP background of arXiv:1306.4339 [hep-th] to study a top-down holographic dual of the thermal QCD-like theories at intermediate 't Hooft coupling and in arXiv:2011.04660 [hep-th] we obtained the values of the coupling constants of the ${\cal O}(p^4)$ $\chi$PT Lagrangian in the chiral limit, inclusive of the ${\cal O}(R^4)$ corrections.

6.908743

7.338324

8.076049

6.72122

7.602314

6.941272

7.094101

7.001507

6.706875

8.207878

6.892162

6.7317

7.14907

6.825161

7.006685

7.024111

6.979109

6.873344

6.849366

7.219466

6.818536

2112.08898

Alessandro Sfondrini

Sergey Frolov and Alessandro Sfondrini

Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2

27 pages; v2: minor changes, references added

null

10.1007/JHEP03(2022)138

null

hep-th

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

We consider superstrings on the pure-Ramond-Ramond $AdS_3\times S^3\times T^4$ background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and use it to derive the canonical mirror thermodynamic Bethe ansatz (TBA) equations of the model. For the first time, these equations account for all massive and massless modes of the model, and do not resort to any limit or special kinematics. We also discuss the simplified mirror TBA equations and the Y-system of the model.

[ { "created": "Thu, 16 Dec 2021 14:15:48 GMT", "version": "v1" }, { "created": "Thu, 24 Feb 2022 22:07:11 GMT", "version": "v2" } ]

2022-04-13

[ [ "Frolov", "Sergey", "" ], [ "Sfondrini", "Alessandro", "" ] ]

We consider superstrings on the pure-Ramond-Ramond $AdS_3\times S^3\times T^4$ background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and use it to derive the canonical mirror thermodynamic Bethe ansatz (TBA) equations of the model. For the first time, these equations account for all massive and massless modes of the model, and do not resort to any limit or special kinematics. We also discuss the simplified mirror TBA equations and the Y-system of the model.

8.123593

6.928068

9.139182

7.260377

7.538992

7.085414

7.496261

7.262784

6.999182

9.763962

6.906485

7.337899

8.238877

7.148982

7.301891

7.59707

7.395151

7.683596

7.515138

8.507094

7.29403

1908.06621

Yusuke Kimura

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups

19 pages, contents added in section 2 and section 3. References added

JHEP 03(2020)153

10.1007/JHEP03(2020)153

KEK-TH-2148

hep-th

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

We examine the proposal in the previous paper to resolve the puzzle in transitions in discrete gauge groups. We focus on a four-section geometry to test the proposal. We observed that a discrete $\mathbb{Z}_2$ gauge group enlarges and $U(1)$ also forms in F-theory along any bisection geometries locus in the four-section geometry built as the complete intersections of two quadrics in $\mathbb{P}^3$ fibered over any base. Furthermore, we demonstrate that giving vacuum expectation values to hypermultiplets breaks the enlarged $U(1)\times \mathbb{Z}_2$ gauge group down to a discrete $\mathbb{Z}_4$ gauge group via Higgsing. We thus confirmed that the proposal in the previous paper is consistent when a four-section splits into a pair of bisections in the four-section geometry. This analysis may be useful for understanding the Higgsing processes occurring in the transitions in discrete gauge groups in six-dimensional F-theory models. We also discuss the construction of a family of six-dimensional F-theory models in which $U(1)\times\mathbb{Z}_4$ forms.

[ { "created": "Mon, 19 Aug 2019 07:26:54 GMT", "version": "v1" }, { "created": "Mon, 14 Oct 2019 15:33:59 GMT", "version": "v2" }, { "created": "Wed, 18 Dec 2019 09:24:42 GMT", "version": "v3" } ]

2020-03-27

[ [ "Kimura", "Yusuke", "" ] ]

We examine the proposal in the previous paper to resolve the puzzle in transitions in discrete gauge groups. We focus on a four-section geometry to test the proposal. We observed that a discrete $\mathbb{Z}_2$ gauge group enlarges and $U(1)$ also forms in F-theory along any bisection geometries locus in the four-section geometry built as the complete intersections of two quadrics in $\mathbb{P}^3$ fibered over any base. Furthermore, we demonstrate that giving vacuum expectation values to hypermultiplets breaks the enlarged $U(1)\times \mathbb{Z}_2$ gauge group down to a discrete $\mathbb{Z}_4$ gauge group via Higgsing. We thus confirmed that the proposal in the previous paper is consistent when a four-section splits into a pair of bisections in the four-section geometry. This analysis may be useful for understanding the Higgsing processes occurring in the transitions in discrete gauge groups in six-dimensional F-theory models. We also discuss the construction of a family of six-dimensional F-theory models in which $U(1)\times\mathbb{Z}_4$ forms.

8.553452

8.513488

9.867964

8.321068

8.469302

8.857712

9.108139

8.6358

8.888912

10.119047

7.962347

8.257494

9.068439

8.688539

8.321516

8.177183

8.394612

8.304626

8.47666

8.973436

8.501725

1907.08917

Mohammad Asadi

M. Ali-Akbari, M. Asadi and M. Rahimi

Holographic Mutual and Tripartite Information in a Non-Conformal Background

7 pages and 11figures

null

IPM/P-2019/024

hep-th

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

Holographic mutual and tripartite information have been studied in a non-conformal background. We have investigated how these observables behave as the energy scale and number of degrees of freedom vary. We have found out that the effect of degrees of freedom and energy scale is opposite. Moreover, it has been observed that the disentangling transition occurs at large distance between sub-systems in non-conformal field theory independent of l. The mutual information in a non-conformal background remains also monogamous.

[ { "created": "Sun, 21 Jul 2019 05:47:32 GMT", "version": "v1" }, { "created": "Mon, 20 Jan 2020 17:08:33 GMT", "version": "v2" } ]

2020-01-22

[ [ "Ali-Akbari", "M.", "" ], [ "Asadi", "M.", "" ], [ "Rahimi", "M.", "" ] ]

Holographic mutual and tripartite information have been studied in a non-conformal background. We have investigated how these observables behave as the energy scale and number of degrees of freedom vary. We have found out that the effect of degrees of freedom and energy scale is opposite. Moreover, it has been observed that the disentangling transition occurs at large distance between sub-systems in non-conformal field theory independent of l. The mutual information in a non-conformal background remains also monogamous.

12.474237

9.903445

11.442413

9.80705

10.475629

9.629318

9.486865

9.338799

8.771778

12.192065

9.203745

9.547264

10.004963

9.697351

9.544121

9.485069

9.633505

9.324004

9.278683

9.968942

9.610142

hep-th/0003269

Archil Kobakhidze

Masud Chaichian, Archil B. Kobakhidze

Mass hierarchy and localization of gravity in extra time

10 pages, JHEP format, no figures, typos corrected, to appear in Phys. Lett. B

Phys.Lett. B488 (2000) 117-122

10.1016/S0370-2693(00)00874-1

HIP-2000-16/TH

hep-th hep-ph

null

We consider Randall-Sundrum model with localized gravity, replacing the extra compact space-like dimension by a time-like one. In this way the solution to the hierarchy problem can be reconciled with a correct cosmological expansion of the visible universe, just as a trivial result of the sign flip of cosmological constants in the bulk and on the 3-branes relative to the case of extra space-like dimension. Some phenomenological aspects of the proposed scenario related to the tachyonic nature of Kaluza-Klein states of graviton are also discussed.

[ { "created": "Wed, 29 Mar 2000 10:44:23 GMT", "version": "v1" }, { "created": "Tue, 4 Apr 2000 11:34:12 GMT", "version": "v2" }, { "created": "Fri, 28 Jul 2000 12:34:18 GMT", "version": "v3" } ]

2009-10-31

[ [ "Chaichian", "Masud", "" ], [ "Kobakhidze", "Archil B.", "" ] ]

We consider Randall-Sundrum model with localized gravity, replacing the extra compact space-like dimension by a time-like one. In this way the solution to the hierarchy problem can be reconciled with a correct cosmological expansion of the visible universe, just as a trivial result of the sign flip of cosmological constants in the bulk and on the 3-branes relative to the case of extra space-like dimension. Some phenomenological aspects of the proposed scenario related to the tachyonic nature of Kaluza-Klein states of graviton are also discussed.

9.806041

10.210864

9.19369

8.995755

9.146279

8.985385

9.727994

9.935315

9.11027

10.129306

9.394845

9.441139

9.137533

9.069807

9.410186

9.070581

9.371172

9.111558

9.120432

8.678987

9.279234

hep-th/9705167

Stuart Samuel

Stuart Samuel (CCNY and Columbia University)

Solutions of Extended Supersymmetric Matrix Models for Arbitrary Gauge Groups

10 pages, LATEX, no figures

Phys.Lett. B411 (1997) 268-273

10.1016/S0370-2693(97)01038-1

CCNY-HEP-97/4 and CU-TP-829

hep-th

null

Energy eigenstates for N=2 supersymmetric gauged quantum mechanics are found for the gauges groups SU(n) and U(n). The analysis is aided by the existence of an infinite number of conserved operators. The spectum is continuous. Perturbative eigenstates for $N>2$ are also presented, a case which is relevant for the conjectured description of M theory in the infinite momentum frame.

[ { "created": "Thu, 22 May 1997 21:35:27 GMT", "version": "v1" } ]

2009-10-30

[ [ "Samuel", "Stuart", "", "CCNY and Columbia University" ] ]

Energy eigenstates for N=2 supersymmetric gauged quantum mechanics are found for the gauges groups SU(n) and U(n). The analysis is aided by the existence of an infinite number of conserved operators. The spectum is continuous. Perturbative eigenstates for $N>2$ are also presented, a case which is relevant for the conjectured description of M theory in the infinite momentum frame.

15.102787

11.48403

13.134058

11.975349

12.714962

12.822401

13.129464

11.925173

11.555463

13.659411

12.88612

12.163739

12.800014

12.343384

12.474359

13.189446

12.926808

12.258347

12.577422

14.06506

12.305605

hep-th/0402059

Sheldon Katz

B-branes and the Derived Category

Talk at QTS3, 10 pages, uses ws-procs9x6.cls

null

10.1142/9789812702340_0062

ILL-(TH)-04-02

hep-th

null

By a direct CFT computation, the spectrum of the topological B-model is compared to Ext groups of sheaves. A match can only be made if abstract vector bundles on holomorphic submanifolds are twisted by the canonical $\mathrm{Spin}^c$ structure of its support in describing physical branes.

[ { "created": "Fri, 6 Feb 2004 21:22:07 GMT", "version": "v1" } ]

2017-08-23

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

By a direct CFT computation, the spectrum of the topological B-model is compared to Ext groups of sheaves. A match can only be made if abstract vector bundles on holomorphic submanifolds are twisted by the canonical $\mathrm{Spin}^c$ structure of its support in describing physical branes.

25.686363

25.667074

29.461233

22.339279

20.693689

25.856081

26.305243

25.491558

21.829784

35.230515

20.407471

20.192408

24.370253

21.24073

20.662645

21.334665

21.222988

20.15126

21.959221

25.025852

19.839663

hep-th/0703026

Filipe Moura

Type II and heterotic one loop string effective actions in four dimensions

v2: 22 pages. Discussion on the new R^4 term and extended supergravity has been abridged and improved. Published version

JHEP 0706:052,2007

10.1088/1126-6708/2007/06/052

null

hep-th

null

We analyze the reduction to four dimensions of the R^4 terms which are part of the ten-dimensional string effective actions, both at tree level and one loop. We show that there are two independent combinations of R^4 present, at one loop, in the type IIA four dimensional effective action, which means they both have their origin in M-theory. The d=4 heterotic effective action also has such terms. This contradicts the common belief thathere is only one R^4 term in four-dimensional supergravity theories, given by the square of the Bel-Robinson tensor. In pure N=1 supergravity this new R^4 combination cannot be directly supersymmetrized, but we show that, when coupled to a scalar chiral multiplet (violating the U(1) $R$-symmetry), it emerges in the action after elimination of the auxiliary fields.

[ { "created": "Mon, 5 Mar 2007 15:05:03 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2007 12:58:25 GMT", "version": "v2" } ]

2010-10-27

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

We analyze the reduction to four dimensions of the R^4 terms which are part of the ten-dimensional string effective actions, both at tree level and one loop. We show that there are two independent combinations of R^4 present, at one loop, in the type IIA four dimensional effective action, which means they both have their origin in M-theory. The d=4 heterotic effective action also has such terms. This contradicts the common belief thathere is only one R^4 term in four-dimensional supergravity theories, given by the square of the Bel-Robinson tensor. In pure N=1 supergravity this new R^4 combination cannot be directly supersymmetrized, but we show that, when coupled to a scalar chiral multiplet (violating the U(1) $R$-symmetry), it emerges in the action after elimination of the auxiliary fields.

9.706663

9.67835

9.673883

8.93273

9.905452

9.893648

9.053662

8.996639

9.235742

10.177828

9.246666

8.590253

9.343834

8.957953

8.602006

9.048125

8.695701

8.905912

8.847076

8.986852

8.793701

0811.3393

Georgios Pastras

Eleni Katifori, Georgios Pastras

Thermal Evolution of the Non Supersymmetric Metastable Vacua in N=2 SU(2) SYM Softly Broken to N=1

32 pages, 30 figures

JHEP 1305:142,2013

10.1007/JHEP05(2013)142

null

hep-th

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

It has been shown that four dimensional N=2 gauge theories, softly broken to N=1 by a superpotential term, can accommodate metastable non-supersymmetric vacua in their moduli space. We study the SU(2) theory at high temperatures in order to determine whether a cooling universe settles in the metastable vacuum at zero temperature. We show that the corrections to the free energy because of the BPS dyons are such that may destroy the existence of the metastable vacuum at high temperatures. Nevertheless we demonstrate the universe can settle in the metastable vacuum, provided that the following two conditions are hold: first the superpotential term is not arbitrarily small in comparison to the strong coupling scale of the gauge theory, and second the metastable vacuum lies in the strongly coupled region of the moduli space.

[ { "created": "Thu, 20 Nov 2008 19:04:33 GMT", "version": "v1" } ]

2015-05-13

[ [ "Katifori", "Eleni", "" ], [ "Pastras", "Georgios", "" ] ]

It has been shown that four dimensional N=2 gauge theories, softly broken to N=1 by a superpotential term, can accommodate metastable non-supersymmetric vacua in their moduli space. We study the SU(2) theory at high temperatures in order to determine whether a cooling universe settles in the metastable vacuum at zero temperature. We show that the corrections to the free energy because of the BPS dyons are such that may destroy the existence of the metastable vacuum at high temperatures. Nevertheless we demonstrate the universe can settle in the metastable vacuum, provided that the following two conditions are hold: first the superpotential term is not arbitrarily small in comparison to the strong coupling scale of the gauge theory, and second the metastable vacuum lies in the strongly coupled region of the moduli space.

7.606942

7.526632

7.892865

7.30328

7.67327

7.957708

8.023784

7.602963

7.525354

8.141794

7.057692

7.291188

7.624852

7.365953

7.202033

7.212522

7.146755

7.333416

7.432333

7.640225

7.184989

hep-th/9810122

Aleksandar Bogojevic

Antun Balaz, Aleksandar Belic and Aleksandar Bogojevic (Institute of Physics)

Improved Gaussian Approximation

5 pages, Latex 2e, 7 figures, Lectures given at 11th Yugoslav Symposium on Nuclear and Particle Physics, Studenica, September 1998

SFINA2:297, 1998

null

IP-HET-98/22

hep-th

null

In a recently developed approximation technique for quantum field theory the standard one-loop result is used as a seed for a recursive formula that gives a sequence of improved Gaussian approximations for the generating functional. In this paper we work with the generic $\phi^3+\phi^4$ model in $d=0$ dimensions. We compare the first, and simplest, approximation in the above sequence with the one-loop and two-loop approximations, as well as the exact results (calculated numericaly).

[ { "created": "Thu, 15 Oct 1998 22:36:39 GMT", "version": "v1" } ]

2011-08-09

[ [ "Balaz", "Antun", "", "Institute of\n Physics" ], [ "Belic", "Aleksandar", "", "Institute of\n Physics" ], [ "Bogojevic", "Aleksandar", "", "Institute of\n Physics" ] ]

In a recently developed approximation technique for quantum field theory the standard one-loop result is used as a seed for a recursive formula that gives a sequence of improved Gaussian approximations for the generating functional. In this paper we work with the generic $\phi^3+\phi^4$ model in $d=0$ dimensions. We compare the first, and simplest, approximation in the above sequence with the one-loop and two-loop approximations, as well as the exact results (calculated numericaly).

10.895447

9.489265

10.226969

9.247273

9.269739

9.117579

9.375919

9.521894

9.197419

11.398141

9.189487

9.278913

9.93249

9.624224

9.858479

9.798903

9.759614

9.671486

9.58154

10.367728

9.581103

hep-th/9309134

Martin Schlichenmaier

Martin Bordemann, Eckhard Meinrenken and Martin Schlichenmaier

Toeplitz Quantization of K\"ahler Manifolds and $gl(N)$ $N\to\infty$

17 pages, AmsTeX 2.1, Sept. 93 (rev: only typos are corrected)

Commun.Math.Phys. 165 (1994) 281-296

10.1007/BF02099772

Mannheimer Manuskripte 147, Freiburg THEP 93/22

hep-th alg-geom funct-an math.AG math.FA

null

For general compact K\"ahler manifolds it is shown that both Toeplitz quantization and geometric quantization lead to a well-defined (by operator norm estimates) classical limit. This generalizes earlier results of the authors and Klimek and Lesniewski obtained for the torus and higher genus Riemann surfaces, respectively. We thereby arrive at an approximation of the Poisson algebra by a sequence of finite-dimensional matrix algebras $gl(N)$, $N\to\infty$.

[ { "created": "Fri, 24 Sep 1993 16:20:17 GMT", "version": "v1" }, { "created": "Tue, 15 Feb 1994 17:10:45 GMT", "version": "v2" }, { "created": "Thu, 26 May 1994 16:03:02 GMT", "version": "v3" } ]

2009-10-22

[ [ "Bordemann", "Martin", "" ], [ "Meinrenken", "Eckhard", "" ], [ "Schlichenmaier", "Martin", "" ] ]

For general compact K\"ahler manifolds it is shown that both Toeplitz quantization and geometric quantization lead to a well-defined (by operator norm estimates) classical limit. This generalizes earlier results of the authors and Klimek and Lesniewski obtained for the torus and higher genus Riemann surfaces, respectively. We thereby arrive at an approximation of the Poisson algebra by a sequence of finite-dimensional matrix algebras $gl(N)$, $N\to\infty$.

7.914717

8.153963

9.357167

7.64029

8.330914

8.387386

8.183456

8.282811

7.655119

9.381903

7.373985

7.22979

7.491674

7.38199

7.163384

7.36145

7.505819

7.312941

7.611621

7.373383

7.079773

1408.6632

Xiao-Xiong Zeng

Xiao-Xiong Zeng, De-You Chen, Li-Fang Li

Holographic thermalization and gravitational collapse in the spacetime dominated by quintessence dark energy

minor modifications. arXiv admin note: text overlap with arXiv:1407.5262

Phys. Rev. D 91, 046005 (2015)

10.1103/PhysRevD.91.046005

null

hep-th

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

In this paper, the thermalization has been studied holographically. Explicitly in the gravity side, we consider the gravitational collapse of a thin shell of dust in a spacetime dominated by quintessence dark energy. With the thermalization probes such as the normalized geodesic length and minimal area surface, we study the effect of the state parameter for the quintessence dark energy on the thermalization. Our results show that the smaller the state parameter of quintessence is, the harder the plasma to thermalize. We also investigate the thermalization velocity and thermalization acceleration. We hope our results here can shed light on the nature of the quintessence dark energy.

[ { "created": "Thu, 28 Aug 2014 07:07:44 GMT", "version": "v1" }, { "created": "Sun, 21 Dec 2014 10:06:10 GMT", "version": "v2" } ]

2015-03-17

[ [ "Zeng", "Xiao-Xiong", "" ], [ "Chen", "De-You", "" ], [ "Li", "Li-Fang", "" ] ]

In this paper, the thermalization has been studied holographically. Explicitly in the gravity side, we consider the gravitational collapse of a thin shell of dust in a spacetime dominated by quintessence dark energy. With the thermalization probes such as the normalized geodesic length and minimal area surface, we study the effect of the state parameter for the quintessence dark energy on the thermalization. Our results show that the smaller the state parameter of quintessence is, the harder the plasma to thermalize. We also investigate the thermalization velocity and thermalization acceleration. We hope our results here can shed light on the nature of the quintessence dark energy.

8.49531

7.635024

8.657852

7.246651

7.751661

7.918279

7.436775

6.753893

7.241163

8.421236

7.453311

7.72637

8.149975

7.756878

7.695461

7.536542

7.865847

7.492396

7.93718

7.958921

7.545597

hep-th/9712153

Chakrabarti Amitabha

A. Chakrabarti (Ecole Polytechnique)

Implementation of an iterative map in the construction of (quasi)periodic instantons: chaotic aspects and discontinuous rotation numbers

LaTeX file, 57 pages, v2: typos corrected

J.Math.Phys. 40 (1999) 635-673

10.1063/1.532680

CPTH-S590.1297

hep-th

null

An iterative map of the unit disc in the complex plane (Appendix) is used to explore certain aspects of selfdual, four dimensional gauge fields (quasi)periodic in the Euclidean time. These fields are characterized by two topological numbers and contain standard instantons and monopoles as different limits. The iterations do not correspond directly to a discretized time evolution of the gauge fields. They are implemented in an indirect fashion. First, (t,r,\theta,\phi) being the standard coordinates, the (r,t) half plane is mapped on the unit disc in an appropriate way. This provides an (r,t) parametrization (Sec.1) of Z_0, the starting point of the iterations and makes the iterates increasingly complex functions of r and t. These are then incorporated as building blocks in the generating function of the fields (Sec.2). We explain (starting in Sec.1 and at different stages) in what sense and to what extent some remarkable features of our map (indicated in the title) are thus carried over into the continuous time development of the fields. Special features for quasiperiodicity are studied (Sec.3). Spinor solutions (Sec.4) and propagators (Sec.5) are discussed from the point of view of the mapping. Several possible generalizations are indicated (Sec.6). Some broader topics are discussd in conclusion (Sec.7).

[ { "created": "Tue, 16 Dec 1997 10:42:56 GMT", "version": "v1" }, { "created": "Mon, 5 Jan 1998 13:17:34 GMT", "version": "v2" } ]

2009-10-30

[ [ "Chakrabarti", "A.", "", "Ecole Polytechnique" ] ]

An iterative map of the unit disc in the complex plane (Appendix) is used to explore certain aspects of selfdual, four dimensional gauge fields (quasi)periodic in the Euclidean time. These fields are characterized by two topological numbers and contain standard instantons and monopoles as different limits. The iterations do not correspond directly to a discretized time evolution of the gauge fields. They are implemented in an indirect fashion. First, (t,r,\theta,\phi) being the standard coordinates, the (r,t) half plane is mapped on the unit disc in an appropriate way. This provides an (r,t) parametrization (Sec.1) of Z_0, the starting point of the iterations and makes the iterates increasingly complex functions of r and t. These are then incorporated as building blocks in the generating function of the fields (Sec.2). We explain (starting in Sec.1 and at different stages) in what sense and to what extent some remarkable features of our map (indicated in the title) are thus carried over into the continuous time development of the fields. Special features for quasiperiodicity are studied (Sec.3). Spinor solutions (Sec.4) and propagators (Sec.5) are discussed from the point of view of the mapping. Several possible generalizations are indicated (Sec.6). Some broader topics are discussd in conclusion (Sec.7).

12.418676

13.649595

13.118013

12.189116

13.803203

13.46749

12.800982

13.312379

12.168015

14.040698

12.813077

12.879192

12.437671

12.07628

12.371526

12.531918

12.161205

12.799107

12.371653

12.560787

12.382524

hep-th/9907127

Kurt Langfeld

H. Reinhardt

Magnetic Monopoles, Vortices and the Topology of Gauge Fields

8 pages, LaTeX, talk presented at the workshop ''Understanding confinement'', ECT* Trento, March 1 - 13, 1999

null

UNITU-THEP-8/99

hep-th

null

Lattice calculations performed in Abelian gauges give strong evidence that confinement is realized as a dual Meissner effect, implying that the Yang-Mills vacuum consists of a condensate of magnetic monopoles. Alternative lattice caluclations performed in the maximum center gauge give strong support that center vortex configurations are the relevant infrared degrees of freedom responsible for confinement and that the magnetic monopoles are mostly sitting on vortices. In this talk I study the continuum Yang-Mills-theory in Abelian and center gauges. In Polyakov gauge the Pontryagin index of the gauge field is expressed by the magnetic monopole charges. The continuum analogues of center vortices and the continuum version of the maximum center gauge are presented. It is shown that the Pontryagin index of center vortices is given by their self-intersection number, which vanishes unless magnetic monopole currents are flowing on the vortices.

[ { "created": "Thu, 15 Jul 1999 15:14:06 GMT", "version": "v1" }, { "created": "Fri, 16 Jul 1999 16:07:42 GMT", "version": "v2" } ]

2007-05-23

[ [ "Reinhardt", "H.", "" ] ]

Lattice calculations performed in Abelian gauges give strong evidence that confinement is realized as a dual Meissner effect, implying that the Yang-Mills vacuum consists of a condensate of magnetic monopoles. Alternative lattice caluclations performed in the maximum center gauge give strong support that center vortex configurations are the relevant infrared degrees of freedom responsible for confinement and that the magnetic monopoles are mostly sitting on vortices. In this talk I study the continuum Yang-Mills-theory in Abelian and center gauges. In Polyakov gauge the Pontryagin index of the gauge field is expressed by the magnetic monopole charges. The continuum analogues of center vortices and the continuum version of the maximum center gauge are presented. It is shown that the Pontryagin index of center vortices is given by their self-intersection number, which vanishes unless magnetic monopole currents are flowing on the vortices.

7.839499

7.407745

8.120405

7.230892

7.515681

7.731378

7.206441

6.577957

7.124472

9.323446

6.729255

7.227679

7.621816

7.347711

7.755608

7.359607

7.341534

7.230155

7.267177

7.697119

7.19249

1703.02505

Mariano Cadoni

Mariano Cadoni and Parul jain

How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?

16 pages, no figures

Int. J. Mod. Phys. A, Vol. 32 (2017) 1750083

10.1142/S0217751X1750083X

null

hep-th

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

Motivated by the new theoretical paradigm that views spacetime geometry as emerging from the entanglement of a pre-geometric theory, we investigate the issue of the signature of the presence of horizons and localized matter on the entanglement entropy (EE) S_E for the case of three-dimensional AdS (AdS_3) gravity. We use the holographically dual two-dimensional CFT on the torus and the related modular symmetry in order to treat bulk black holes and conical singularities (sourced by pointlike masses not shielded by horizons) on the same footing. In the regime where boundary tori can be approximated by cylinders we are able to give universal expressions for the EE of black holes and conical singularities. We argue that the presence of horizons/localized matter in the bulk is encoded in the EE in terms of (i) enhancement/reduction of the entanglement of the AdS_3 vacuum, (ii) scaling as area/volume of the leading term of the perturbative expansion of S_E, (iii) exponential/periodic behaviour of S_E, (iv) presence of unaccessible regions in the noncompact/compact dimension of the boundary cylinder. In particular, we show that the reduction effect of matter on the entanglement of the vacuum found by Verlinde for the de Sitter vacuum extends to the AdS_3 vacuum

[ { "created": "Tue, 7 Mar 2017 18:16:50 GMT", "version": "v1" } ]

2017-05-15

[ [ "Cadoni", "Mariano", "" ], [ "jain", "Parul", "" ] ]

Motivated by the new theoretical paradigm that views spacetime geometry as emerging from the entanglement of a pre-geometric theory, we investigate the issue of the signature of the presence of horizons and localized matter on the entanglement entropy (EE) S_E for the case of three-dimensional AdS (AdS_3) gravity. We use the holographically dual two-dimensional CFT on the torus and the related modular symmetry in order to treat bulk black holes and conical singularities (sourced by pointlike masses not shielded by horizons) on the same footing. In the regime where boundary tori can be approximated by cylinders we are able to give universal expressions for the EE of black holes and conical singularities. We argue that the presence of horizons/localized matter in the bulk is encoded in the EE in terms of (i) enhancement/reduction of the entanglement of the AdS_3 vacuum, (ii) scaling as area/volume of the leading term of the perturbative expansion of S_E, (iii) exponential/periodic behaviour of S_E, (iv) presence of unaccessible regions in the noncompact/compact dimension of the boundary cylinder. In particular, we show that the reduction effect of matter on the entanglement of the vacuum found by Verlinde for the de Sitter vacuum extends to the AdS_3 vacuum

8.957629

9.461374

9.691413

8.871762

9.308515

8.550641

9.196605

9.318712

8.940492

10.489271

9.09143

8.74754

8.670085

8.77338

8.914206

8.943585

8.920758

8.884433

8.870828

8.813152

8.739776

2111.05067

Tim Morris Prof

Alex Mitchell, Tim R. Morris and Dalius Stulga

Provable properties of asymptotic safety in $f(R)$ approximation

35 pages, no figures; minor amendments. version published in JHEP

null

10.1007/JHEP01(2022)041

null

hep-th gr-qc

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

We study an $f(R)$ approximation to asymptotic safety, using a family of non-adaptive cutoffs, kept general to test for universality. Matching solutions on the four-dimensional sphere and hyperboloid, we prove properties of any such global fixed point solution and its eigenoperators. For this family of cutoffs, the scaling dimension at large $n$ of the $n^\text{th}$ eigenoperator, is $\lambda_n\propto b\, n\ln n$. The coefficient $b$ is non-universal, a consequence of the single-metric approximation. The large $R$ limit is universal on the hyperboloid, but not on the sphere where cutoff dependence results from certain zero modes. For right-sign conformal mode cutoff, the fixed points form at most a discrete set. The eigenoperator spectrum is quantised. They are square integrable under the Sturm-Liouville weight. For wrong sign cutoff, the fixed points form a continuum, and so do the eigenoperators unless we impose square-integrability. If we do this, we get a discrete tower of operators, infinitely many of which are relevant. These are $f(R)$ analogues of novel operators in the conformal sector which were used recently to furnish an alternative quantisation of gravity.

[ { "created": "Tue, 9 Nov 2021 11:54:01 GMT", "version": "v1" }, { "created": "Mon, 10 Jan 2022 14:32:53 GMT", "version": "v2" } ]

2022-01-26

[ [ "Mitchell", "Alex", "" ], [ "Morris", "Tim R.", "" ], [ "Stulga", "Dalius", "" ] ]

We study an $f(R)$ approximation to asymptotic safety, using a family of non-adaptive cutoffs, kept general to test for universality. Matching solutions on the four-dimensional sphere and hyperboloid, we prove properties of any such global fixed point solution and its eigenoperators. For this family of cutoffs, the scaling dimension at large $n$ of the $n^\text{th}$ eigenoperator, is $\lambda_n\propto b\, n\ln n$. The coefficient $b$ is non-universal, a consequence of the single-metric approximation. The large $R$ limit is universal on the hyperboloid, but not on the sphere where cutoff dependence results from certain zero modes. For right-sign conformal mode cutoff, the fixed points form at most a discrete set. The eigenoperator spectrum is quantised. They are square integrable under the Sturm-Liouville weight. For wrong sign cutoff, the fixed points form a continuum, and so do the eigenoperators unless we impose square-integrability. If we do this, we get a discrete tower of operators, infinitely many of which are relevant. These are $f(R)$ analogues of novel operators in the conformal sector which were used recently to furnish an alternative quantisation of gravity.

14.276185

14.737087

14.5913

13.606589

13.99557

14.825988

13.978385

14.158579

14.361679

15.757238

13.747506

13.519742

14.071386

13.665121

13.51235

13.517145

13.721383

13.677374

13.480944

14.076312

13.206212

hep-th/0407192

Raul Rabadan

M. Kleban, M. Porrati and R. Rabadan

Poincare Recurrences and Topological Diversity

18 + 8 pages, 5 figures. v2: reference added

JHEP0410:030,2004

10.1088/1126-6708/2004/10/030

null

hep-th gr-qc

null

Finite entropy thermal systems undergo Poincare recurrences. In the context of field theory, this implies that at finite temperature, timelike two-point functions will be quasi-periodic. In this note we attempt to reproduce this behavior using the AdS/CFT correspondence by studying the correlator of a massive scalar field in the bulk. We evaluate the correlator by summing over all the SL(2,Z) images of the BTZ spacetime. We show that all the terms in this sum receive large corrections after at certain critical time, and that the result, even if convergent, is not quasi-periodic. We present several arguments indicating that the periodicity will be very difficult to recover without an exact re-summation, and discuss several toy models which illustrate this. Finally, we consider the consequences for the information paradox.

[ { "created": "Wed, 21 Jul 2004 22:09:21 GMT", "version": "v1" }, { "created": "Fri, 23 Jul 2004 21:40:53 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kleban", "M.", "" ], [ "Porrati", "M.", "" ], [ "Rabadan", "R.", "" ] ]

Finite entropy thermal systems undergo Poincare recurrences. In the context of field theory, this implies that at finite temperature, timelike two-point functions will be quasi-periodic. In this note we attempt to reproduce this behavior using the AdS/CFT correspondence by studying the correlator of a massive scalar field in the bulk. We evaluate the correlator by summing over all the SL(2,Z) images of the BTZ spacetime. We show that all the terms in this sum receive large corrections after at certain critical time, and that the result, even if convergent, is not quasi-periodic. We present several arguments indicating that the periodicity will be very difficult to recover without an exact re-summation, and discuss several toy models which illustrate this. Finally, we consider the consequences for the information paradox.

10.887299

10.262873

11.5048

10.009191

10.813651

11.576476

10.758296

9.810456

9.532081

11.984372

9.947507

10.038321

10.370922

10.133915

10.131137

10.121638

10.377697

9.9135

9.977736

10.564183

10.20348

hep-th/9505018

Keith Dienes

Keith R. Dienes and Alon E. Faraggi (IAS, Princeton)

Making Ends Meet: String Unification and Low-Energy Data

10 pages, standard LaTeX, 1 figure (Encapsulated PostScript), version published in Phys. Rev. Lett. 75 (1995) 2646

Phys.Rev.Lett. 75 (1995) 2646-2649

10.1103/PhysRevLett.75.2646

IASSNS-HEP-95/24 (April 1995)

hep-th hep-ph

null

A long-standing problem in string phenomenology has been the fact that the string unification scale disagrees with the GUT scale obtained by extrapolating low-energy data within the framework of the minimal supersymmetric standard model (MSSM). In this paper we examine several effects that may modify the minimal string predictions and thereby bring string-scale unification into agreement with low-energy data. These include heavy string threshold corrections, non-standard hypercharge normalizations, light SUSY thresholds, intermediate gauge structure, and thresholds arising from extra matter beyond the MSSM. We explicitly evaluate these contributions within a variety of realistic free-fermionic string models, including the flipped SU(5), SO(6) x SO(4), and various SU(3) x SU(2) x U(1) models, and find that most of these sources do not substantially alter the minimal string predictions. Indeed, we find that the only way to reconcile string unification with low-energy data is through certain types of extra matter. Remarkably, however, many of the realistic string models contain precisely this required matter in their low-energy spectra.

[ { "created": "Wed, 3 May 1995 07:17:24 GMT", "version": "v1" }, { "created": "Wed, 4 Oct 1995 22:55:36 GMT", "version": "v2" } ]

2009-10-28

[ [ "Dienes", "Keith R.", "", "IAS, Princeton" ], [ "Faraggi", "Alon E.", "", "IAS, Princeton" ] ]

A long-standing problem in string phenomenology has been the fact that the string unification scale disagrees with the GUT scale obtained by extrapolating low-energy data within the framework of the minimal supersymmetric standard model (MSSM). In this paper we examine several effects that may modify the minimal string predictions and thereby bring string-scale unification into agreement with low-energy data. These include heavy string threshold corrections, non-standard hypercharge normalizations, light SUSY thresholds, intermediate gauge structure, and thresholds arising from extra matter beyond the MSSM. We explicitly evaluate these contributions within a variety of realistic free-fermionic string models, including the flipped SU(5), SO(6) x SO(4), and various SU(3) x SU(2) x U(1) models, and find that most of these sources do not substantially alter the minimal string predictions. Indeed, we find that the only way to reconcile string unification with low-energy data is through certain types of extra matter. Remarkably, however, many of the realistic string models contain precisely this required matter in their low-energy spectra.

5.828634

6.311123

6.363628

5.556021

6.053756

6.162846

6.102963

6.248222

5.885571

6.102241

5.756135

5.88759

5.742596

5.74506

5.840979

6.029182

5.794534

5.75142

5.540013

5.81429

5.858721

hep-th/9511077

null

Alexander Belopolsky and Barton Zwiebach

Who changes the string coupling ?

34 pages, phyzzx

Nucl.Phys. B472 (1996) 109-138

10.1016/0550-3213(96)00203-9

MIT-CTP-2450

hep-th

null

In general bosonic closed string backgrounds the ghost-dilaton is not the only state in the semi-relative BRST cohomology that can change the dimensionless string coupling. This fact is used to establish complete dilaton theorems in closed string field theory. The ghost-dilaton, however, is the crucial state: for backgrounds where it becomes BRST trivial we prove that the string coupling becomes an unobservable parameter of the string action. For backgrounds where the matter CFT includes free uncompactified bosons we introduce a refined BRST problem by including the zero-modes "x" of the bosons as legal operators on the complex. We argue that string field theory can be defined on this enlarged complex and that its BRST cohomology captures accurately the notion of a string background. In this complex the ghost-dilaton appears to be the only BRST-physical state changing the string coupling.

[ { "created": "Sun, 12 Nov 1995 22:15:33 GMT", "version": "v1" } ]

2009-10-28

[ [ "Belopolsky", "Alexander", "" ], [ "Zwiebach", "Barton", "" ] ]

In general bosonic closed string backgrounds the ghost-dilaton is not the only state in the semi-relative BRST cohomology that can change the dimensionless string coupling. This fact is used to establish complete dilaton theorems in closed string field theory. The ghost-dilaton, however, is the crucial state: for backgrounds where it becomes BRST trivial we prove that the string coupling becomes an unobservable parameter of the string action. For backgrounds where the matter CFT includes free uncompactified bosons we introduce a refined BRST problem by including the zero-modes "x" of the bosons as legal operators on the complex. We argue that string field theory can be defined on this enlarged complex and that its BRST cohomology captures accurately the notion of a string background. In this complex the ghost-dilaton appears to be the only BRST-physical state changing the string coupling.

14.731049

13.468851

16.64493

13.088749

15.059707

14.533813

14.349765

14.536346

14.701448

17.182867

13.497584

13.41089

14.192295

13.601644

14.132294

13.558462

13.188699

13.486172

13.771291

14.805084

12.96399

1910.07449

Daniel Ranard

Edward A. Mazenc, Daniel Ranard

Target Space Entanglement Entropy

null

J. High Energ. Phys. 2023, 111 (2023)

10.1007/JHEP03(2023)111

null

hep-th quant-ph

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

We define a notion of target space entanglement entropy. Rather than partitioning the base space on which the theory is defined, we consider partitions of the target space. This is the physical case of interest for first-quantized theories, such as worldsheet string theory. We associate to each subregion of the target space a suitably chosen sub-algebra of observables $\mathcal{A}$. The entanglement entropy is calculated as the entropy of the density matrix restricted to $\mathcal{A}$. As an example, we illustrate our framework by computing spatial entanglement in first-quantized many-body quantum mechanics. The algebra $\mathcal{A}$ is chosen to reproduce the entanglement entropy obtained by embedding the state in the fixed particle sub-sector of the second-quantized Hilbert space. We then generalize our construction to the quantum field-theoretical setting.

[ { "created": "Wed, 16 Oct 2019 16:11:11 GMT", "version": "v1" } ]

2023-10-26

[ [ "Mazenc", "Edward A.", "" ], [ "Ranard", "Daniel", "" ] ]

We define a notion of target space entanglement entropy. Rather than partitioning the base space on which the theory is defined, we consider partitions of the target space. This is the physical case of interest for first-quantized theories, such as worldsheet string theory. We associate to each subregion of the target space a suitably chosen sub-algebra of observables $\mathcal{A}$. The entanglement entropy is calculated as the entropy of the density matrix restricted to $\mathcal{A}$. As an example, we illustrate our framework by computing spatial entanglement in first-quantized many-body quantum mechanics. The algebra $\mathcal{A}$ is chosen to reproduce the entanglement entropy obtained by embedding the state in the fixed particle sub-sector of the second-quantized Hilbert space. We then generalize our construction to the quantum field-theoretical setting.

7.693936

7.877558

8.025064

7.303126

8.055779

7.931623

7.68446

7.374295

7.117189

9.066216

7.430702

6.988719

7.387578

7.099592

7.12655

7.068692

7.047318

7.076725

7.348593

7.535847

7.023773

hep-th/9509015

null

Frederik G Schotlz and Sergei V. Shabanov

Supersymmetric quantization of gauge theories

The present version contains a major modification: the problem of the supersymmetric boundary conditions in the path integral is resolved and no longer an obstacle to calculate Green's functions

null

STPHY-TH/96-11

hep-th

null

We develop a new operator quantization scheme for gauge theories in which the dynamics of the ghost sector is described by an N=2 supersymmetry. In this scheme no gauge condition is imposed on the gauge fields. The corresponding path integral is explicitly Lorentz invariant and, in contrast to the BRST-BFV path integral in the Lorentz gauge, it is free of the Gribov ambiguity, i.e., it is also valid in the non-perturbative domain. The formalism can therefore be used to study the non-perturbative properties of gauge theories in the infra-red region (gluon confinement).

[ { "created": "Tue, 5 Sep 1995 09:17:49 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 1996 17:38:36 GMT", "version": "v2" } ]

2008-02-03

[ [ "Schotlz", "Frederik G", "" ], [ "Shabanov", "Sergei V.", "" ] ]

We develop a new operator quantization scheme for gauge theories in which the dynamics of the ghost sector is described by an N=2 supersymmetry. In this scheme no gauge condition is imposed on the gauge fields. The corresponding path integral is explicitly Lorentz invariant and, in contrast to the BRST-BFV path integral in the Lorentz gauge, it is free of the Gribov ambiguity, i.e., it is also valid in the non-perturbative domain. The formalism can therefore be used to study the non-perturbative properties of gauge theories in the infra-red region (gluon confinement).

6.381746

5.684966

6.330496

5.610515

5.744161

6.262015

5.681612

6.072021

5.605336

6.457717

5.681989

5.795899

6.032206

5.693311

5.890785

5.782921

5.741494

5.796074

5.686026

6.015758

5.758749

hep-th/9906126

Tom Banks

Remarks on M Theoretic Cosmology

JHEP LaTeX, 16 pages

null

RU-99-22

hep-th

null

I present cosmological arguments which point towards a Horava-Witten like picture of the universe, with the unification scale of order the fundamental gravitational scale. The SUSY breaking scale is determined by the dynamics of gauge fields which are weakly coupled at the fundamental scale. Bulk moduli whose potential originates at short distances are the inflatons, while bulk moduli whose potential originates from SUSY breaking are the origin of the energy density in the present era. The latter decay just before nucleosynthesis, and a consistent theory of baryogenesis requires that there be renormalizable baryon number violating interactions at the TeV scale. The dark matter is a boundary modulus, perhaps the QCD axion, and the temperature of matter radiation equality is related to the ratio between the fundamental and effective four dimensional Planck scales. The same ratio determines the amplitude of fluctuations in the microwave background.

[ { "created": "Wed, 16 Jun 1999 19:34:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Banks", "Tom", "" ] ]

I present cosmological arguments which point towards a Horava-Witten like picture of the universe, with the unification scale of order the fundamental gravitational scale. The SUSY breaking scale is determined by the dynamics of gauge fields which are weakly coupled at the fundamental scale. Bulk moduli whose potential originates at short distances are the inflatons, while bulk moduli whose potential originates from SUSY breaking are the origin of the energy density in the present era. The latter decay just before nucleosynthesis, and a consistent theory of baryogenesis requires that there be renormalizable baryon number violating interactions at the TeV scale. The dark matter is a boundary modulus, perhaps the QCD axion, and the temperature of matter radiation equality is related to the ratio between the fundamental and effective four dimensional Planck scales. The same ratio determines the amplitude of fluctuations in the microwave background.

10.652031

10.966946

10.306698

9.520581

11.314119

10.650558

10.176021

9.807568

8.749803

10.61367

10.255475

9.450058

9.456053

9.423027

9.064599

9.782536

9.459565

9.48484

9.528502

9.386266

9.655515

1408.1766

Guido Cognola

G. Cognola, E. Elizalde and S. Zerbini

Functional Determinant of the Massive Laplace Operator and the Multiplicative Anomaly

15 pages, LaTex

null

10.1088/1751-8113/48/4/045203

null

hep-th math-ph math.MP

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

After a brief survey of zeta function regularization issues and of the related multiplicative anomaly, illustrated with a couple of basic examples, namely the harmonic oscillator and quantum field theory at finite temperature, an application of these methods to the computation of functional determinants corresponding to massive Laplacians on spheres in arbitrary dimensions is presented. Explicit formulas are provided for the Laplace operator on spheres in $N=1,2,3,4$ dimensions and for `vector' and `tensor' Laplacians on the unitary sphere $S^4$.

[ { "created": "Fri, 8 Aug 2014 06:17:03 GMT", "version": "v1" }, { "created": "Wed, 10 Dec 2014 07:22:41 GMT", "version": "v2" } ]

2015-06-22

[ [ "Cognola", "G.", "" ], [ "Elizalde", "E.", "" ], [ "Zerbini", "S.", "" ] ]

After a brief survey of zeta function regularization issues and of the related multiplicative anomaly, illustrated with a couple of basic examples, namely the harmonic oscillator and quantum field theory at finite temperature, an application of these methods to the computation of functional determinants corresponding to massive Laplacians on spheres in arbitrary dimensions is presented. Explicit formulas are provided for the Laplace operator on spheres in $N=1,2,3,4$ dimensions and for `vector' and `tensor' Laplacians on the unitary sphere $S^4$.

10.136031

9.129728

9.556902

8.320372

8.891416

9.446885

9.464969

9.54436

7.924972

9.794306

8.604535

8.590459

9.170136

8.620273

8.826347

8.85194

8.488376

8.751308

8.724854

9.400364

8.972232

1509.08129

Xi\'an O. Camanho

Lovelock gravity, black holes and holography

PhD thesis, defended September 20, 2013. arXiv admin note: text overlap with arXiv:hep-th/0309246, arXiv:gr-qc/0305004 by other authors

null

hep-th gr-qc

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

This thesis is divided in two separate parts, the first concerned with gravitational aspects of Lovelock theories, the second with some of their holographic applications.

[ { "created": "Sun, 27 Sep 2015 19:43:14 GMT", "version": "v1" } ]

2015-09-29

[ [ "Camanho", "Xián O.", "" ] ]

This thesis is divided in two separate parts, the first concerned with gravitational aspects of Lovelock theories, the second with some of their holographic applications.

15.191278

8.939407

8.958892

8.978551

8.329838

8.353085

8.32978

10.13732

8.731049

9.695827

8.124172

10.019366

10.579437

9.562808

9.390989

9.228127

9.204794

9.52029

10.011047

10.79152

10.238123

2204.07583

Julian Sonner

Alexander Altland, Boris Post, Julian Sonner, Jeremy van der Heijden, Erik Verlinde

Quantum chaos in 2D gravity

49 pages, 2 appendices, 9 figures; v3: rewrote introduction, simplified Fig. 1

SciPost Phys. 15, 064 (2023)

10.21468/SciPostPhys.15.2.064

null

hep-th cond-mat.str-el nlin.CD

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

We present a quantitative and fully non-perturbative description of the ergodic phase of quantum chaos in the setting of two-dimensional gravity. To this end we describe the doubly non-perturbative completion of semiclassical 2D gravity in terms of its associated universe field theory. The guiding principle of our analysis is a flavor-matrix theory (fMT) description of the ergodic phase of holographic gravity, which exhibits $\mathrm{U}(n|n)$ causal symmetry breaking and restoration. JT gravity and its 2D-gravity cousins alone do not realize an action principle with causal symmetry, however we demonstrate that their {\it universe field theory}, the Kodaira-Spencer (KS) theory of gravity, does. After directly deriving the fMT from brane-antibrane correlators in KS theory, we show that causal symmetry breaking and restoration can be understood geometrically in terms of different (topological) D-brane vacua. We interpret our results in terms of an open-closed string duality between holomorphic Chern-Simons theory and its closed-string equivalent, the KS theory of gravity. Emphasis will be put on relating these geometric principles to the characteristic spectral correlations of the quantum ergodic phase.

[ { "created": "Fri, 15 Apr 2022 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 30 Jun 2022 09:47:24 GMT", "version": "v2" }, { "created": "Thu, 10 Nov 2022 15:14:33 GMT", "version": "v3" } ]

2023-08-09

[ [ "Altland", "Alexander", "" ], [ "Post", "Boris", "" ], [ "Sonner", "Julian", "" ], [ "van der Heijden", "Jeremy", "" ], [ "Verlinde", "Erik", "" ] ]

We present a quantitative and fully non-perturbative description of the ergodic phase of quantum chaos in the setting of two-dimensional gravity. To this end we describe the doubly non-perturbative completion of semiclassical 2D gravity in terms of its associated universe field theory. The guiding principle of our analysis is a flavor-matrix theory (fMT) description of the ergodic phase of holographic gravity, which exhibits $\mathrm{U}(n|n)$ causal symmetry breaking and restoration. JT gravity and its 2D-gravity cousins alone do not realize an action principle with causal symmetry, however we demonstrate that their {\it universe field theory}, the Kodaira-Spencer (KS) theory of gravity, does. After directly deriving the fMT from brane-antibrane correlators in KS theory, we show that causal symmetry breaking and restoration can be understood geometrically in terms of different (topological) D-brane vacua. We interpret our results in terms of an open-closed string duality between holomorphic Chern-Simons theory and its closed-string equivalent, the KS theory of gravity. Emphasis will be put on relating these geometric principles to the characteristic spectral correlations of the quantum ergodic phase.

12.793166

13.512785

14.748879

13.161612

13.836956

12.644404

13.153418

12.809385

12.886697

14.736743

12.221769

12.289332

13.444407

12.694186

12.506475

12.516755

12.634665

12.756507

12.926654

13.17181

12.539778

hep-th/0205214

Paolo Aschieri

Paolo Aschieri, Branislav Jurco, Peter Schupp, Julius Wess

Non-Commutative GUTs, Standard Model and C,P,T

28 pages. Added references and comments in the introduction

Nucl.Phys.B651:45-70,2003

10.1016/S0550-3213(02)00937-9

LMU-TPW 2002-02

hep-th hep-ph

null

Noncommutative Yang-Mills theories are sensitive to the choice of the representation that enters in the gauge kinetic term. We constrain this ambiguity by considering grand unified theories. We find that at first order in the noncommutativity parameter \theta, SU(5) is not truly a unified theory, while SO(10) has a unique noncommutative generalization. In view of these results we discuss the noncommutative SM theory that is compatible with SO(10) GUT and find that there are no modifications to the SM gauge kinetic term at lowest order in \theta. We study in detail the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of the resulting effective actions expanded in ordinary fields. We find that in models of GUTs (or compatible with GUTs) right-handed fermions and left-handed ones appear with opposite Seiberg-Witten map.

[ { "created": "Tue, 21 May 2002 15:49:48 GMT", "version": "v1" }, { "created": "Thu, 4 Jul 2002 16:13:59 GMT", "version": "v2" }, { "created": "Thu, 24 Oct 2002 11:07:05 GMT", "version": "v3" } ]

2011-05-05

[ [ "Aschieri", "Paolo", "" ], [ "Jurco", "Branislav", "" ], [ "Schupp", "Peter", "" ], [ "Wess", "Julius", "" ] ]

Noncommutative Yang-Mills theories are sensitive to the choice of the representation that enters in the gauge kinetic term. We constrain this ambiguity by considering grand unified theories. We find that at first order in the noncommutativity parameter \theta, SU(5) is not truly a unified theory, while SO(10) has a unique noncommutative generalization. In view of these results we discuss the noncommutative SM theory that is compatible with SO(10) GUT and find that there are no modifications to the SM gauge kinetic term at lowest order in \theta. We study in detail the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of the resulting effective actions expanded in ordinary fields. We find that in models of GUTs (or compatible with GUTs) right-handed fermions and left-handed ones appear with opposite Seiberg-Witten map.

8.038921

7.819948

8.551997

8.110155

8.109175

8.179004

8.385486

8.028606

7.76888

9.726092

7.974505

7.790779

7.766257

7.806055

7.879313

7.698699

7.761344

7.525554

7.730298

7.940123

7.703356

hep-th/9511188

Jose Sande Lemos

Jos\'e P. S. Lemos (Observatorio Nacional, Rio de Janeiro, Brazil) and Vilson T. Zanchin (Universidade de Santa Maria, Rio Grande do Sul, Brazil)

Rotating Charged Black Strings in General Relativity

change of title, some corrections. Latex style, 58 pages plus 9 figures

Phys.Rev. D54 (1996) 3840-3853

10.1103/PhysRevD.54.3840

null

hep-th gr-qc

null

Einstein-Maxwell equations with a cosmological constant are analyzed in a four dimensional stationary spacetime admitting in addition a two dimensional group $G_2$ of spatial isometries. Charged rotating open and closed black string solutions are found.

[ { "created": "Mon, 27 Nov 1995 16:56:32 GMT", "version": "v1" }, { "created": "Tue, 28 May 1996 14:18:29 GMT", "version": "v2" } ]

2009-10-28

[ [ "Lemos", "José P. S.", "", "Observatorio Nacional, Rio de Janeiro, Brazil" ], [ "Zanchin", "Vilson T.", "", "Universidade de Santa Maria, Rio Grande do Sul, Brazil" ] ]

Einstein-Maxwell equations with a cosmological constant are analyzed in a four dimensional stationary spacetime admitting in addition a two dimensional group $G_2$ of spatial isometries. Charged rotating open and closed black string solutions are found.

9.90633

6.76437

7.903533

6.944671

7.104774

6.896025

8.148145

7.346052

6.742146

8.180885

6.809881

7.456157

7.261793

7.007098

7.155299

7.168427

7.54549

7.058734

7.413225

7.513433

7.060791

2106.15073

Yasuaki Hikida

Thomas Creutzig, Yasuaki Hikida and Devon Stockall

Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras

29 pages, final version to appear in JHEP

null

10.1007/JHEP10(2021)032

YITP-21-68

hep-th

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

We examine a strong/weak duality between a Heisenberg coset of a theory with $\mathfrak{sl}_n$ subregular $\mathcal{W}$-algebra symmetry and a theory with a $\mathfrak{sl}_{n|1}$-structure. In a previous work, two of the current authors provided a path integral derivation of correlator correspondences for a series of generalized Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality. In this paper, we derive correlator correspondences in a similar way but for a different series of generalized duality. This work is a part of the project to realize the duality of corner vertex operator algebras proposed by Gaiotto and Rap\v{c}\'ak and partly proven by Linshaw and one of us in terms of two dimensional conformal field theory. We also examine another type of duality involving an additional pair of fermions, which is a natural generalization of the fermionic FZZ-duality. The generalization should be important since a principal $\mathcal{W}$-superalgebra appears as its symmetry and the properties of the superalgebra are less understood than bosonic counterparts.

[ { "created": "Tue, 29 Jun 2021 03:41:04 GMT", "version": "v1" }, { "created": "Wed, 30 Jun 2021 00:53:56 GMT", "version": "v2" }, { "created": "Wed, 6 Oct 2021 00:25:29 GMT", "version": "v3" } ]

2021-10-27

[ [ "Creutzig", "Thomas", "" ], [ "Hikida", "Yasuaki", "" ], [ "Stockall", "Devon", "" ] ]

We examine a strong/weak duality between a Heisenberg coset of a theory with $\mathfrak{sl}_n$ subregular $\mathcal{W}$-algebra symmetry and a theory with a $\mathfrak{sl}_{n|1}$-structure. In a previous work, two of the current authors provided a path integral derivation of correlator correspondences for a series of generalized Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality. In this paper, we derive correlator correspondences in a similar way but for a different series of generalized duality. This work is a part of the project to realize the duality of corner vertex operator algebras proposed by Gaiotto and Rap\v{c}\'ak and partly proven by Linshaw and one of us in terms of two dimensional conformal field theory. We also examine another type of duality involving an additional pair of fermions, which is a natural generalization of the fermionic FZZ-duality. The generalization should be important since a principal $\mathcal{W}$-superalgebra appears as its symmetry and the properties of the superalgebra are less understood than bosonic counterparts.

8.577872

8.200234

10.777956

8.46064

8.768874

7.948298

8.332366

8.269021

8.054351

10.54575

8.593464

8.075731

9.208657

8.138439

8.592745

8.319826

8.521371

8.096544

8.2554

8.863153

7.925129

1110.4512

Adolfo Malbouisson

C.A. Linhares, A.P.C. Malbouisson, M.L. Souza

A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field

LATEX, 6 pages no figures. arXiv admin note: 80% of text overlaps with arXiv:1102.1396

Europhysics Letters, vol. 96, p. 31002 (2011)

10.1209/0295-5075/96/31002

null

hep-th math-ph math.MP

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

We consider the Euclidean large-$N$ Ginzburg--Landau model in $D$ dimensions, $d$ ($d\leq D$) of them being compactified. For D=3, the system can be supposed to describe, in the cases of d=1, d=2, and d=3, respectively, a superconducting material in the form of a film, of an infinitely long wire having a rectangular cross-section and of a brick-shaped grain. We investigate the fixed-point structure of the model, in the presence of an external magnetic field. An infrared-stable fixed points is found, which is independent of the number of compactified dimensions. This generalizes previous work for type-II superconducting films

[ { "created": "Thu, 20 Oct 2011 12:48:22 GMT", "version": "v1" } ]

2011-10-21

[ [ "Linhares", "C. A.", "" ], [ "Malbouisson", "A. P. C.", "" ], [ "Souza", "M. L.", "" ] ]

We consider the Euclidean large-$N$ Ginzburg--Landau model in $D$ dimensions, $d$ ($d\leq D$) of them being compactified. For D=3, the system can be supposed to describe, in the cases of d=1, d=2, and d=3, respectively, a superconducting material in the form of a film, of an infinitely long wire having a rectangular cross-section and of a brick-shaped grain. We investigate the fixed-point structure of the model, in the presence of an external magnetic field. An infrared-stable fixed points is found, which is independent of the number of compactified dimensions. This generalizes previous work for type-II superconducting films

7.995536

8.602521

8.69472

7.945133

7.977849

8.145858

8.086188

8.142101

7.860553

9.135152

7.2735

7.505338

8.294296

7.818133

7.828663

7.474805

7.402114

8.060331

7.754234

7.951349

7.677307

1310.6379

Pablo Bueno

Pablo Bueno and C. S. Shahbazi

The violation of the No-Hair Conjecture in four-dimensional ungauged Supergravity

21 pages, 4 figures. References added. Small changes in the introduction

null

10.1088/0264-9381/31/14/145005

IFT-UAM/CSIC-13-107

hep-th gr-qc

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

By choosing a particular, String Theory inspired, Special K\"ahler manifold, we are able to find a N=2 four-dimensional ungauged Supergravity model that contains supersymmetric black hole solutions that violate the folk uniqueness theorems that are expected to hold in ungauged Supergravity. The black hole solutions are regular in the sense that they have a positive mass and a unique physical singularity hidden by an event horizon. In contradistinction to most examples already known in the literature, we find our solutions in a theory without scalar potential, gaugings or higher order curvature terms.

[ { "created": "Wed, 23 Oct 2013 20:14:20 GMT", "version": "v1" }, { "created": "Thu, 7 Nov 2013 15:56:03 GMT", "version": "v2" } ]

2015-06-17

[ [ "Bueno", "Pablo", "" ], [ "Shahbazi", "C. S.", "" ] ]

By choosing a particular, String Theory inspired, Special K\"ahler manifold, we are able to find a N=2 four-dimensional ungauged Supergravity model that contains supersymmetric black hole solutions that violate the folk uniqueness theorems that are expected to hold in ungauged Supergravity. The black hole solutions are regular in the sense that they have a positive mass and a unique physical singularity hidden by an event horizon. In contradistinction to most examples already known in the literature, we find our solutions in a theory without scalar potential, gaugings or higher order curvature terms.

12.54241

10.510167

11.772317

10.256196

11.131674

10.437124

11.153543

10.102002

10.330666

11.917994

10.254395

10.454321

10.822046

10.79144

10.355594

10.863776

10.279902

10.425251

10.55792

10.878308

10.930161

2008.12430

Wu-Zhong Guo

Wu-zhong Guo

Entanglement spectrum of geometric states

references added

null

10.1007/JHEP02(2021)085

null

hep-th quant-ph

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

The reduced density matrix of a given subsystem, denoted by $\rho_A$, contains the information on subregion duality in a holographic theory. We may extract the information by using the spectrum (eigenvalue) of the matrix, called entanglement spectrum in this paper. We evaluate the density of eigenstates, one-point and two-point correlation functions in the microcanonical ensemble state $\rho_{A,m}$ associated with an eigenvalue $\lambda$ for some examples, including a single interval and two intervals in vacuum state of 2D CFTs. We find there exists a microcanonical ensemble state with $\lambda_0$ which can be seen as an approximate state of $\rho_A$. The parameter $\lambda_0$ is obtained in the two examples. For a general geometric state, the approximate microcanonical ensemble state also exists. The parameter $\lambda_0$ is associated with the entanglement entropy of $A$ and R\'enyi entropy in the limit $n\to \infty$. As an application of the above conclusion we reform the equality case of the Araki-Lieb inequality of the entanglement entropies of two intervals in vacuum state of 2D CFTs as conditions of Holevo information. We show the constraints on the eigenstates. Finally, we point out some unsolved problems and their significance on understanding the geometric states.

[ { "created": "Fri, 28 Aug 2020 01:40:02 GMT", "version": "v1" }, { "created": "Fri, 25 Sep 2020 03:00:04 GMT", "version": "v2" } ]

2021-02-24

[ [ "Guo", "Wu-zhong", "" ] ]

The reduced density matrix of a given subsystem, denoted by $\rho_A$, contains the information on subregion duality in a holographic theory. We may extract the information by using the spectrum (eigenvalue) of the matrix, called entanglement spectrum in this paper. We evaluate the density of eigenstates, one-point and two-point correlation functions in the microcanonical ensemble state $\rho_{A,m}$ associated with an eigenvalue $\lambda$ for some examples, including a single interval and two intervals in vacuum state of 2D CFTs. We find there exists a microcanonical ensemble state with $\lambda_0$ which can be seen as an approximate state of $\rho_A$. The parameter $\lambda_0$ is obtained in the two examples. For a general geometric state, the approximate microcanonical ensemble state also exists. The parameter $\lambda_0$ is associated with the entanglement entropy of $A$ and R\'enyi entropy in the limit $n\to \infty$. As an application of the above conclusion we reform the equality case of the Araki-Lieb inequality of the entanglement entropies of two intervals in vacuum state of 2D CFTs as conditions of Holevo information. We show the constraints on the eigenstates. Finally, we point out some unsolved problems and their significance on understanding the geometric states.

8.954408

8.570824

9.3592

8.648902

9.135065

9.043779

9.084617

8.865793

8.247933

10.05144

8.027163

8.66247

8.827063

8.472346

8.493498

8.317638

8.331407

8.449068

8.398917

8.897915

8.130788

2205.11628

Matheus Soares

M. S. Soares, G. Menezes and N. F. Svaiter

Entanglement dynamics: Generalized master equation for uniformly accelerated two-level systems

27 pages, 6 figures

null

10.1103/PhysRevA.106.062440

null

hep-th gr-qc quant-ph

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

We propose a new form for the quantum master equation in the theory of open quantum systems. This new formalism allows one to describe the dynamics of two-level systems moving along different hyperbolic trajectories with distinct proper times. In the Born-Markov approximation, we consider a quantum massless scalar field coupled with two-level systems. Starting from a separable state we show the emergence of entanglement harvesting. For different proper accelerations we verify also the entanglement sudden death.

[ { "created": "Mon, 23 May 2022 20:54:53 GMT", "version": "v1" }, { "created": "Thu, 20 Oct 2022 12:51:30 GMT", "version": "v2" } ]

2023-01-11

[ [ "Soares", "M. S.", "" ], [ "Menezes", "G.", "" ], [ "Svaiter", "N. F.", "" ] ]

We propose a new form for the quantum master equation in the theory of open quantum systems. This new formalism allows one to describe the dynamics of two-level systems moving along different hyperbolic trajectories with distinct proper times. In the Born-Markov approximation, we consider a quantum massless scalar field coupled with two-level systems. Starting from a separable state we show the emergence of entanglement harvesting. For different proper accelerations we verify also the entanglement sudden death.

12.226333

13.713461

11.25366

11.637226

13.661072

12.534533

14.444888

10.967895

13.131352

12.493481

14.044861

12.138083

11.764481

11.583124

11.855653

11.20721

11.442195

11.12231

12.24825

11.625631

12.514153

hep-th/0304226

Mahbub Majumdar

Mahbub Majumdar and Anne-Christine Davis

Inflation from Tachyon Condensation, Large N Effects

24 pages, 1 figure

Phys.Rev. D69 (2004) 103504

10.1103/PhysRevD.69.103504

Imperial/TP/2-03 /22; DAMTP-2003-40

hep-th

null

Using only general properties of the tachyon potential we show that inflation may be generic when many branes and anti-branes become coincident. Inflation may occur because of: (1) the assistance of the many diagonal tachyon fields; (2) when the tachyons condense in a staggered fashion; or (3) when some of them condense very late. We point out that such inflation is in some sense a stringy implementation of chaotic inflation and may have important applications for ``regularizing'' a lopsided or singular cosmological compact surface.

[ { "created": "Mon, 28 Apr 2003 18:37:10 GMT", "version": "v1" } ]

2009-11-10

[ [ "Majumdar", "Mahbub", "" ], [ "Davis", "Anne-Christine", "" ] ]

Using only general properties of the tachyon potential we show that inflation may be generic when many branes and anti-branes become coincident. Inflation may occur because of: (1) the assistance of the many diagonal tachyon fields; (2) when the tachyons condense in a staggered fashion; or (3) when some of them condense very late. We point out that such inflation is in some sense a stringy implementation of chaotic inflation and may have important applications for ``regularizing'' a lopsided or singular cosmological compact surface.

17.957415

19.191273

19.608149

14.798689

16.837774

17.078884

17.07658

16.031113

14.732523

17.999855

15.630474

16.354269

15.969151

15.685023

15.525959

15.647914

16.149664

16.072836

15.941305

16.519171

15.534368

hep-th/9910190

Gernot Akemann

G. Akemann and P.H. Damgaard

On Finite-Volume Gauge Theory Partition Functions

LaTeX, 26 pages. Typo in eq. (7.6) corrected, to appear in Nucl.Phys.B

Nucl.Phys. B576 (2000) 597-626

10.1016/S0550-3213(00)00119-X

null

hep-th

null

We prove a Mahoux-Mehta--type theorem for finite-volume partition functions of SU(N_c\geq 3) gauge theories coupled to fermions in the fundamental representation. The large-volume limit is taken with the constraint V << 1/m_{\pi}^4. The theorem allows one to express any k-point correlation function of the microscopic Dirac operator spectrum entirely in terms of the 2-point function. The sum over topological charges of the gauge fields can be explicitly performed for these k-point correlation functions. A connection to an integrable KP hierarchy, for which the finite-volume partition function is a $\tau$-function, is pointed out. Relations between the effective partition functions for these theories in 3 and 4 dimensions are derived. We also compute analytically, and entirely from finite-volume partition functions, the microscopic spectral density of the Dirac operator in SU(N_c) gauge theories coupled to quenched fermions in the adjoint representation. The result coincides exactly with earlier results based on Random Matrix Theory.

[ { "created": "Mon, 25 Oct 1999 08:00:54 GMT", "version": "v1" }, { "created": "Fri, 3 Mar 2000 14:20:28 GMT", "version": "v2" } ]

2016-09-06

[ [ "Akemann", "G.", "" ], [ "Damgaard", "P. H.", "" ] ]

We prove a Mahoux-Mehta--type theorem for finite-volume partition functions of SU(N_c\geq 3) gauge theories coupled to fermions in the fundamental representation. The large-volume limit is taken with the constraint V << 1/m_{\pi}^4. The theorem allows one to express any k-point correlation function of the microscopic Dirac operator spectrum entirely in terms of the 2-point function. The sum over topological charges of the gauge fields can be explicitly performed for these k-point correlation functions. A connection to an integrable KP hierarchy, for which the finite-volume partition function is a $\tau$-function, is pointed out. Relations between the effective partition functions for these theories in 3 and 4 dimensions are derived. We also compute analytically, and entirely from finite-volume partition functions, the microscopic spectral density of the Dirac operator in SU(N_c) gauge theories coupled to quenched fermions in the adjoint representation. The result coincides exactly with earlier results based on Random Matrix Theory.

8.62816

8.860329

9.851603

8.615488

9.686654

9.124967

8.502177

8.702827

8.247405

10.525092

8.428267

8.165521

8.755714

8.399444

8.28577

8.226102

8.282182

8.145829

8.285067

8.699259

8.651135

hep-th/9804179

Jon Magne Leinaas

Accelerated Electrons and the Unruh Effect

15 pages, Latex, 2 postscript figures

null

OSLO-TP 3-98

hep-th

null

Quantum effects for electrons in a storage ring are studied in a co-moving, accelerated frame. The polarization effect due to spin flip synchrotron radiation is examined by treating the electron as a simple quantum mechanical two-level system coupled to the orbital motion and to the radiation field. The excitations of the spin system are related to the Unruh effect, i.e. the effect that an accelerated radiation detector is thermally excited by vacuum fluctuations. The importance of orbital fluctuations is pointed out and the vertical fluctuations are examined.

[ { "created": "Tue, 28 Apr 1998 12:34:23 GMT", "version": "v1" } ]

2007-05-23

[ [ "Leinaas", "Jon Magne", "" ] ]

Quantum effects for electrons in a storage ring are studied in a co-moving, accelerated frame. The polarization effect due to spin flip synchrotron radiation is examined by treating the electron as a simple quantum mechanical two-level system coupled to the orbital motion and to the radiation field. The excitations of the spin system are related to the Unruh effect, i.e. the effect that an accelerated radiation detector is thermally excited by vacuum fluctuations. The importance of orbital fluctuations is pointed out and the vertical fluctuations are examined.

11.865446

12.483868

11.333609

11.44669

11.590475

13.265045

12.063465

11.892591

11.755607

12.841048

12.087952

11.780479

11.657475

11.1632

11.919988

11.437499

11.587982

11.693874

11.447377

11.490346

12.166339

2108.06068

Jackson Fliss

Jackson R. Fliss and Ben Freivogel

Semi-local Bounds on Null Energy in QFT

29 pages

null

hep-th gr-qc

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

We investigate whether the null energy, averaged over some region of spacetime, is bounded below in QFT. First, we use light-sheet quantization to prove a version of the "Smeared Null Energy Condition" (SNEC) proposed in [1], applicable for free and super-renormalizable QFT's equipped with a UV cutoff. Through an explicit construction of squeezed states, we show that the SNEC bound cannot be improved by smearing on a light-sheet alone. We propose that smearing the null energy over two null directions defines an operator that is bounded below and independent of the UV cutoff, in what we call the "Double-Smeared Null Energy Condition," or dSNEC. We indicate schematically how this bound behaves with respect to the smearing lengths and argue that the dSNEC displays a transition when the smearing lengths are comparable to the correlation length.

[ { "created": "Fri, 13 Aug 2021 05:29:48 GMT", "version": "v1" } ]

2021-08-16

[ [ "Fliss", "Jackson R.", "" ], [ "Freivogel", "Ben", "" ] ]

We investigate whether the null energy, averaged over some region of spacetime, is bounded below in QFT. First, we use light-sheet quantization to prove a version of the "Smeared Null Energy Condition" (SNEC) proposed in [1], applicable for free and super-renormalizable QFT's equipped with a UV cutoff. Through an explicit construction of squeezed states, we show that the SNEC bound cannot be improved by smearing on a light-sheet alone. We propose that smearing the null energy over two null directions defines an operator that is bounded below and independent of the UV cutoff, in what we call the "Double-Smeared Null Energy Condition," or dSNEC. We indicate schematically how this bound behaves with respect to the smearing lengths and argue that the dSNEC displays a transition when the smearing lengths are comparable to the correlation length.

9.639153

9.294112

10.289907

9.091585

9.519665

9.558094

9.074789

9.378848

9.293635

11.046751

9.113312

9.565208

9.507837

9.203627

9.19228

9.45791

9.389258

9.384625

9.240232

9.514312

9.147669

1110.2586

Yu Nakayama

On \epsilon-conjecture in a-theorem

5 pages, v2: clarifications added to emphasize that we have no intention of invalidating the derivation by Komargodski and Schwimmer when the renormalization group flow is between two conformal field theories

null

10.1142/S0217732312500290

IPMU11-0172

hep-th

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

The derivation of the a-theorem recently proposed by Komargodski and Schwimmer relies on the \epsilon-conjecture that demands decoupling of dilaton from the rest of the infrared theory. We point out that the decoupling, if true, provides a strong evidence for the equivalence between scale invariance and conformal invariance in four dimension. Thus, a complete proof of the a-theorem along the line of their argument in the most generic scenario would establish the equivalence between scale invariance and conformal invariance, which is another long-standing conjecture in four-dimensional quantum field theories.

[ { "created": "Wed, 12 Oct 2011 07:36:55 GMT", "version": "v1" }, { "created": "Sat, 15 Oct 2011 23:37:51 GMT", "version": "v2" } ]

2012-02-07

[ [ "Nakayama", "Yu", "" ] ]

The derivation of the a-theorem recently proposed by Komargodski and Schwimmer relies on the \epsilon-conjecture that demands decoupling of dilaton from the rest of the infrared theory. We point out that the decoupling, if true, provides a strong evidence for the equivalence between scale invariance and conformal invariance in four dimension. Thus, a complete proof of the a-theorem along the line of their argument in the most generic scenario would establish the equivalence between scale invariance and conformal invariance, which is another long-standing conjecture in four-dimensional quantum field theories.

7.357283

7.049769

7.682599

6.528116

6.778932

6.890756

7.190354

6.643098

6.821525

8.35177

6.76687

6.34543

7.444063

6.780824

6.760556

6.437519

6.870933

6.61804

6.693271

7.064123

6.7305

1802.09383

Alexandra Anokhina

A.Anokhina and A.Morozov

Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?

23 pp

JHEP 1804 (2018) 066

10.1007/JHEP04(2018)066

ITEP-TH/05-18

hep-th math-ph math.GT math.MP

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

$R$-coloured knot polynomials for $m$-strand torus knots $Torus_{[m,n]}$ are described by the Rosso-Jones formula, which is an example of evolution in $n$ with Lyapunov exponents, labelled by Young diagrams from $R^{\otimes m}$. This means that they satisfy a finite-difference equation (recursion) of finite degree. For the gauge group $SL(N)$ only diagrams with no more than $N$ lines can contribute and the recursion degree is reduced. We claim that these properties (evolution/recursion and reduction) persist for Khovanov-Rozansky (KR) polynomials, obtained by additional factorization modulo $1+{\bf t}$, which is not yet adequately described in quantum field theory. Also preserved is some weakened version of differential expansion, which is responsible at least for a simple relation between {\it reduced} and {\it unreduced} Khovanov polynomials. However, in the KR case evolution is incompatible with the mirror symmetry under the change $n\longrightarrow -n$, what can signal about an ambiguity in the KR factorization even for torus knots. }

[ { "created": "Mon, 26 Feb 2018 15:13:10 GMT", "version": "v1" } ]

2018-05-29

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

$R$-coloured knot polynomials for $m$-strand torus knots $Torus_{[m,n]}$ are described by the Rosso-Jones formula, which is an example of evolution in $n$ with Lyapunov exponents, labelled by Young diagrams from $R^{\otimes m}$. This means that they satisfy a finite-difference equation (recursion) of finite degree. For the gauge group $SL(N)$ only diagrams with no more than $N$ lines can contribute and the recursion degree is reduced. We claim that these properties (evolution/recursion and reduction) persist for Khovanov-Rozansky (KR) polynomials, obtained by additional factorization modulo $1+{\bf t}$, which is not yet adequately described in quantum field theory. Also preserved is some weakened version of differential expansion, which is responsible at least for a simple relation between {\it reduced} and {\it unreduced} Khovanov polynomials. However, in the KR case evolution is incompatible with the mirror symmetry under the change $n\longrightarrow -n$, what can signal about an ambiguity in the KR factorization even for torus knots. }

15.381588

14.922105

19.199368

13.307761

15.050572

15.47192

14.11187

15.152783

14.958224

22.095789

14.344083

14.102572

15.698356

14.963245

14.70513

14.176401

14.164387

14.382968

14.69299

15.69336

14.695954

hep-th/0012226

Dejan Stojkovic

Glenn D. Starkman, Dejan Stojkovic and Mark Trodden

Large Extra Dimensions and Cosmological Problems

15 pages, 1 figure. Revised and corrected discussions of the entropy problem. New references added

Phys.Rev. D63 (2001) 103511

10.1103/PhysRevD.63.103511

CWRU-P12-00, SU-GP-00/12-1

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

null

We consider a variant of the brane-world model in which the universe is the direct product of a Friedmann, Robertson-Walker (FRW) space and a compact hyperbolic manifold of dimension $d\geq2$. Cosmology in this space is particularly interesting. The dynamical evolution of the space-time leads to the injection of a large entropy into the observable (FRW) universe. The exponential dependence of surface area on distance in hyperbolic geometry makes this initial entropy very large, even if the CHM has relatively small diameter (in fundamental units). This provides an attractive reformulation of the cosmological entropy problem, in which the large entropy is a consequence of the topology, though we would argue that a final solution of the entropy problem requires a dynamical explanation of the topology of spacetime. Nevertheless, it is reassuring that this entropy can be achieved within the holographic limit if the ordinary FRW space is also a compact hyperbolic manifold. In addition, the very large statistical averaging inherent in the collapse of the initial entropy onto the brane acts to smooth out initial inhomogeneities. This smoothing is then sufficient to account for the current homogeneity of the universe. With only mild fine-tuning, the current flatness of the universe can also then be understood. Finally, recent brane-world approaches to the hierarchy problem can be readily realized within this framework.

[ { "created": "Fri, 22 Dec 2000 21:50:41 GMT", "version": "v1" }, { "created": "Wed, 3 Jan 2001 21:21:40 GMT", "version": "v2" } ]

2009-10-31

[ [ "Starkman", "Glenn D.", "" ], [ "Stojkovic", "Dejan", "" ], [ "Trodden", "Mark", "" ] ]

We consider a variant of the brane-world model in which the universe is the direct product of a Friedmann, Robertson-Walker (FRW) space and a compact hyperbolic manifold of dimension $d\geq2$. Cosmology in this space is particularly interesting. The dynamical evolution of the space-time leads to the injection of a large entropy into the observable (FRW) universe. The exponential dependence of surface area on distance in hyperbolic geometry makes this initial entropy very large, even if the CHM has relatively small diameter (in fundamental units). This provides an attractive reformulation of the cosmological entropy problem, in which the large entropy is a consequence of the topology, though we would argue that a final solution of the entropy problem requires a dynamical explanation of the topology of spacetime. Nevertheless, it is reassuring that this entropy can be achieved within the holographic limit if the ordinary FRW space is also a compact hyperbolic manifold. In addition, the very large statistical averaging inherent in the collapse of the initial entropy onto the brane acts to smooth out initial inhomogeneities. This smoothing is then sufficient to account for the current homogeneity of the universe. With only mild fine-tuning, the current flatness of the universe can also then be understood. Finally, recent brane-world approaches to the hierarchy problem can be readily realized within this framework.

10.245773

11.315357

9.993048

9.447858

9.951573

10.203807

9.721316

10.443093

10.012504

11.287408

9.2988

9.956543

9.991609

9.962771

10.057608

10.11836

10.189753

10.149247

9.908452

10.02654

9.913636

hep-th/9812046

Hirosi Ooguri

Jan de Boer, Hirosi Ooguri, Harlan Robins and Jonathan Tannenhauser

String Theory on AdS_3

22 pages, 4 figures, LateX; references added, minor corrections

JHEP 9812:026,1998

10.1088/1126-6708/1998/12/026

UCB-PTH-98/43, LBNL-42229

hep-th

null

It was shown by Brown and Henneaux that the classical theory of gravity on AdS_3 has an infinite-dimensional symmetry group forming a Virasoro algebra. More recently, Giveon, Kutasov and Seiberg (GKS) constructed the corresponding Virasoro generators in the first-quantized string theory on AdS_3. In this paper, we explore various aspects of string theory on AdS_3 and study the relation between these two works. We show how semi-classical properties of the string theory reproduce many features of the AdS/CFT duality. Furthermore, we examine how the Virasoro symmetry of Brown and Henneaux is realized in string theory, and show how it leads to the Virasoro Ward identities of the boundary CFT. The Virasoro generators of GKS emerge naturally in this analysis. Our work clarifies several aspects of the GKS construction: why the Brown-Henneaux Virasoro algebra can be realized on the first-quantized Hilbert space, to what extent the free-field approximation is valid, and why the Virasoro generators act on the string worldsheet localized near the boundary of AdS_3. On the other hand, we find that the way the central charge of the Virasoro algebra is generated is different from the mechanism proposed by GKS.

[ { "created": "Fri, 4 Dec 1998 21:54:42 GMT", "version": "v1" }, { "created": "Tue, 22 Dec 1998 00:40:15 GMT", "version": "v2" } ]

2009-10-31

[ [ "de Boer", "Jan", "" ], [ "Ooguri", "Hirosi", "" ], [ "Robins", "Harlan", "" ], [ "Tannenhauser", "Jonathan", "" ] ]

It was shown by Brown and Henneaux that the classical theory of gravity on AdS_3 has an infinite-dimensional symmetry group forming a Virasoro algebra. More recently, Giveon, Kutasov and Seiberg (GKS) constructed the corresponding Virasoro generators in the first-quantized string theory on AdS_3. In this paper, we explore various aspects of string theory on AdS_3 and study the relation between these two works. We show how semi-classical properties of the string theory reproduce many features of the AdS/CFT duality. Furthermore, we examine how the Virasoro symmetry of Brown and Henneaux is realized in string theory, and show how it leads to the Virasoro Ward identities of the boundary CFT. The Virasoro generators of GKS emerge naturally in this analysis. Our work clarifies several aspects of the GKS construction: why the Brown-Henneaux Virasoro algebra can be realized on the first-quantized Hilbert space, to what extent the free-field approximation is valid, and why the Virasoro generators act on the string worldsheet localized near the boundary of AdS_3. On the other hand, we find that the way the central charge of the Virasoro algebra is generated is different from the mechanism proposed by GKS.

4.78757

4.745229

5.095835

4.513028

4.742928

4.787996

4.724321

4.844514

4.684597

5.061437

4.687439

4.44769

4.807578

4.521975

4.512937

4.57682

4.508674

4.45594

4.493405

4.801753

4.482892

1612.00014

Shahar Hod

Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime

7 pages

Journal of High Energy Physics 01, 030 (2017)

10.1007/JHEP01(2017)030

null

hep-th astro-ph.HE gr-qc

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

We study analytically the Klein-Gordon wave equation for stationary massive scalar fields linearly coupled to spinning Kerr black holes. In particular, using the WKB approximation, we derive a compact formula for the discrete spectrum of scalar field masses which characterize the stationary composed Kerr-black-hole-massive-scalar-field configurations in the large-coupling regime $M\mu\gg1$ (here $M$ and $\mu$ are respectively the mass of the central black hole and the proper mass of the scalar field). We confirm our analytically derived formula for the Kerr-scalar-field mass spectrum with numerical data that recently appeared in the literature.

[ { "created": "Wed, 30 Nov 2016 21:00:01 GMT", "version": "v1" } ]

2017-03-21

[ [ "Hod", "Shahar", "" ] ]

We study analytically the Klein-Gordon wave equation for stationary massive scalar fields linearly coupled to spinning Kerr black holes. In particular, using the WKB approximation, we derive a compact formula for the discrete spectrum of scalar field masses which characterize the stationary composed Kerr-black-hole-massive-scalar-field configurations in the large-coupling regime $M\mu\gg1$ (here $M$ and $\mu$ are respectively the mass of the central black hole and the proper mass of the scalar field). We confirm our analytically derived formula for the Kerr-scalar-field mass spectrum with numerical data that recently appeared in the literature.

7.249004

7.553254

5.514506

6.089186

6.713912

6.800066

7.644716

5.788598

6.969221

5.72985

7.443209

7.215744

6.443485

6.391343

6.953859

6.709701

6.964829

6.358857

6.909741

6.695916

7.096775

hep-th/0208003

Esko Keski-Vakkuri

Samuli Hemming, Esko Keski-Vakkuri, and Per Kraus

Strings in the Extended BTZ Spacetime

35 pages, harvmac, 5 eps figures, uses epsf.tex. (v2): Extended discussion in section 3.1, typo corrections, references added

JHEP 0210 (2002) 006

10.1088/1126-6708/2002/10/006

HIP-2002-30/TH, UCLA-02-TEP-21

hep-th

null

We study string theory on the extended spacetime of the BTZ black hole, as described by an orbifold of the SL(2,R) WZW model. The full spacetime has an infinite number of disconnected boundary components, each corresponding to a dual CFT. We discuss the computation of bulk and boundary correlation functions for operators inserted on different components. String theory correlation functions are obtained by analytic continuation from an orbifold of the SL(2,C)/SU(2) coset model. This yields two-point functions for general operators, including those describing strings that wind around the horizon of the black hole.

[ { "created": "Thu, 1 Aug 2002 18:24:10 GMT", "version": "v1" }, { "created": "Mon, 2 Sep 2002 18:17:12 GMT", "version": "v2" } ]

2009-11-07

[ [ "Hemming", "Samuli", "" ], [ "Keski-Vakkuri", "Esko", "" ], [ "Kraus", "Per", "" ] ]

We study string theory on the extended spacetime of the BTZ black hole, as described by an orbifold of the SL(2,R) WZW model. The full spacetime has an infinite number of disconnected boundary components, each corresponding to a dual CFT. We discuss the computation of bulk and boundary correlation functions for operators inserted on different components. String theory correlation functions are obtained by analytic continuation from an orbifold of the SL(2,C)/SU(2) coset model. This yields two-point functions for general operators, including those describing strings that wind around the horizon of the black hole.

6.682629

6.64252

7.882746

6.445117

6.971639

6.87319

6.80467

6.1707

6.365444

8.30264

6.850048

6.277555

7.254731

6.609491

6.958218

6.605482

6.432382

6.522265

6.69777

6.892745

6.562047

hep-th/9902051

Bernard de Wit

Supermembranes and Super Matrix Models

Invited lecture presented at the Corfu Workshop, September 20 - 26, 1998, of the TMR Project "Quantum Aspects of Gauge Theories, Supersymmetry and Unification" (ERBFMRXCT96-0045), to appear in the proceedings. Latex 41 pp

null

10.1007/BFb0104241

THU-99/05

hep-th

null

We review recent developments in the theory of supermembranes and their relation to matrix models.

[ { "created": "Sat, 6 Feb 1999 22:42:50 GMT", "version": "v1" } ]

2009-10-31

[ [ "de Wit", "Bernard", "" ] ]

We review recent developments in the theory of supermembranes and their relation to matrix models.

9.840569

4.93302

10.416081

5.620391

5.02746

5.495387

5.342454

5.488423

5.217671

9.307889

5.295465

6.85185

9.556187

6.677266

6.696726

7.182247

6.879989

7.111264

6.921371

9.154655

6.67205

2003.03637

Willy Fischler

Tom Banks and Willy Fischler

Holographic Space-time, Newton`s Law, and the Dynamics of Horizons

17 pages, 8 figures

null

hep-th gr-qc

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

We revisit the construction of models of quantum gravity in d dimensional Minkowski space in terms of random tensor models, and correct some mistakes in our previous treatment of the subject. We find a large class of models in which the large impact parameter scattering scales with energy and impact parameter like Newton`s law. The scattering amplitudes in these models describe scattering of jets of particles, and also include amplitudes for the production of highly meta-stable states with all the parametric properties of black holes. These models have emergent energy, momentum and angular conservation laws, despite being based on time dependent Hamiltonians. The scattering amplitudes in which no intermediate black holes are produced have a time-ordered Feynman diagram space-time structure: local interaction vertices connected by propagation of free particles (really Sterman-Weinberg jets of particles). However, there are also amplitudes where jets collide to form large meta-stable objects, with all the scaling properties of black holes: energy, entropy and temperature, as well as the characteristic time scale for the decay of perturbations. We generalize the conjecture of Sekino and Susskind, to claim that all of these models are fast scramblers. The rationale for this claim is that the interactions are invariant under fuzzy subgroups of the group of volume preserving diffeomorphisms, so that they are highly non-local on the holographic screen. We review how this formalism resolves the Firewall Paradox.

[ { "created": "Sat, 7 Mar 2020 18:55:15 GMT", "version": "v1" } ]

2020-03-10

[ [ "Banks", "Tom", "" ], [ "Fischler", "Willy", "" ] ]

We revisit the construction of models of quantum gravity in d dimensional Minkowski space in terms of random tensor models, and correct some mistakes in our previous treatment of the subject. We find a large class of models in which the large impact parameter scattering scales with energy and impact parameter like Newton`s law. The scattering amplitudes in these models describe scattering of jets of particles, and also include amplitudes for the production of highly meta-stable states with all the parametric properties of black holes. These models have emergent energy, momentum and angular conservation laws, despite being based on time dependent Hamiltonians. The scattering amplitudes in which no intermediate black holes are produced have a time-ordered Feynman diagram space-time structure: local interaction vertices connected by propagation of free particles (really Sterman-Weinberg jets of particles). However, there are also amplitudes where jets collide to form large meta-stable objects, with all the scaling properties of black holes: energy, entropy and temperature, as well as the characteristic time scale for the decay of perturbations. We generalize the conjecture of Sekino and Susskind, to claim that all of these models are fast scramblers. The rationale for this claim is that the interactions are invariant under fuzzy subgroups of the group of volume preserving diffeomorphisms, so that they are highly non-local on the holographic screen. We review how this formalism resolves the Firewall Paradox.

12.039203

14.171062

13.137259

13.185649

12.764176

12.547991

12.741093

12.142857

12.418254

14.720418

12.034995

12.096932

12.31342

11.862813

11.913907

12.198925

11.985264

12.062037

12.271197

12.535722

11.714754

hep-th/9802096

Hugo Christiansen

H.R. Christiansen, M.S. Cunha, J.A. Helayel-Neto, L.R.U. Manssur and A.L.M.A. Nogueira (CBPF - Rio de Janeiro)

N=2-Maxwell-Chern-Simons model with anomalous magnetic moment coupling via dimensional reduction

15 pages, Latex; one reference corrected; To be published in the Int. J. Mod. Phys. A

Int.J.Mod.Phys. A14 (1999) 147-160

10.1142/S0217751X99000075

CBPF-NF-010/98

hep-th

null

An N=1--supersymmetric version of the Cremmer-Scherk-Kalb-Ramond model with non-minimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the N=2--D=3 counterpart of the model comes out, with two main features: a genuine (diagonal) Chern-Simons term and an anomalous magnetic moment coupling between matter and the gauge potential.

[ { "created": "Fri, 13 Feb 1998 02:20:56 GMT", "version": "v1" }, { "created": "Fri, 22 May 1998 19:33:36 GMT", "version": "v2" }, { "created": "Wed, 15 Jul 1998 01:02:56 GMT", "version": "v3" } ]

2009-10-31

[ [ "Christiansen", "H. R.", "", "CBPF - Rio de Janeiro" ], [ "Cunha", "M. S.", "", "CBPF - Rio de Janeiro" ], [ "Helayel-Neto", "J. A.", "", "CBPF - Rio de Janeiro" ], [ "Manssur", "L. R. U.", "", "CBPF - Rio de Janeiro" ], [ "Nogueira", "A. L. M. A.", "", "CBPF - Rio de Janeiro" ] ]

An N=1--supersymmetric version of the Cremmer-Scherk-Kalb-Ramond model with non-minimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the N=2--D=3 counterpart of the model comes out, with two main features: a genuine (diagonal) Chern-Simons term and an anomalous magnetic moment coupling between matter and the gauge potential.

9.588126

7.446463

9.367464

7.857503

7.821896

8.288291

7.59784

7.709276

7.68347

11.500124

8.119377

8.187251

8.861307

8.635916

8.490563

8.023382

8.140433

8.486684

8.352344

9.956697

8.428704

hep-th/9607190

Keith Dienes

Philip C. Argyres (Rutgers University) and Keith R. Dienes (Institute for Advanced Study, Princeton)

On the Worldsheet Formulation of the Six-Dimensional Self-Dual String

12 pages, LaTeX, no figures

Phys.Lett. B387 (1996) 727-734

10.1016/0370-2693(96)01092-1

RU-96-33, IASSNS-HEP-96/48 (July 1996)

hep-th

null

Despite recent evidence indicating the existence of a new kind of self-dual six-dimensional superstring, no satisfactory worldsheet formulation of such a string has been proposed. In this note we point out that a theory built from Z_4 parafermions may have the right properties to describe the light-cone conformal field theory of this string. This indicates a possible worldsheet formulation of this theory.

[ { "created": "Wed, 24 Jul 1996 22:58:32 GMT", "version": "v1" } ]

2009-10-30

[ [ "Argyres", "Philip C.", "", "Rutgers University" ], [ "Dienes", "Keith R.", "", "Institute\n for Advanced Study, Princeton" ] ]

Despite recent evidence indicating the existence of a new kind of self-dual six-dimensional superstring, no satisfactory worldsheet formulation of such a string has been proposed. In this note we point out that a theory built from Z_4 parafermions may have the right properties to describe the light-cone conformal field theory of this string. This indicates a possible worldsheet formulation of this theory.

10.037718

9.287333

9.847967

8.539797

9.020107

8.913332

9.842522

8.548567

7.928597

10.786223

8.617761

8.800154

9.646759

8.893792

8.945278

8.874703

8.955391

8.910791

8.80581

9.47935

9.294822

1904.05462

Shauna Kravec

S.M. Kravec and Sridip Pal

The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals

21 pages, no figures

null

10.1007/JHEP05(2019)194

null

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

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

We study operators in Schr\"odinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to states of a superfluid in a harmonic trap with phonons or vortices. Using the effective field theory of the Goldstone mode, we compute the dimensions of operators to leading order in the angular momentum $L$ and charge $Q$. We find a diverse set of scaling behaviors for NRCFTs in both $d=2$ and $d=3$.

[ { "created": "Wed, 10 Apr 2019 22:01:05 GMT", "version": "v1" } ]

2019-06-26

[ [ "Kravec", "S. M.", "" ], [ "Pal", "Sridip", "" ] ]

We study operators in Schr\"odinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to states of a superfluid in a harmonic trap with phonons or vortices. Using the effective field theory of the Goldstone mode, we compute the dimensions of operators to leading order in the angular momentum $L$ and charge $Q$. We find a diverse set of scaling behaviors for NRCFTs in both $d=2$ and $d=3$.

7.604095

5.76622

8.230037

6.231009

5.926847

6.072677

5.704403

6.149228

6.437151

7.580227

6.056821

6.278334

7.049919

6.012105

6.069855

6.078665

6.150998

6.261648

6.178242

7.043518

6.182825

1305.3893

Hiroaki Matsunaga

Construction of a Gauge-Invariant Action for Type II Superstring Field Theory

34 pages

[Erratum] See JHEP 1509 (2015) 011 or JHEP 1705 (2017) 095

null

UT-Komaba 13-04

hep-th

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

We construct a gauge-invariant action for covariant type II string field theory in the NS-NS sector. Our construction is based on the large Hilbert space description and Zwiebach's string products are used. First, we rewrite the action for bosonic string field theory into a new form where a state in the kernel of the generator of the gauge transformation appears explicitly. Then we use the same strategy and write down our type II action, where a projector onto the small Hilbert space plays an important role. We present lower-order terms up to quartic order and show that three-point amplitudes are reproduced correctly.

[ { "created": "Thu, 16 May 2013 19:20:16 GMT", "version": "v1" } ]

2019-05-02

[ [ "Matsunaga", "Hiroaki", "" ] ]

We construct a gauge-invariant action for covariant type II string field theory in the NS-NS sector. Our construction is based on the large Hilbert space description and Zwiebach's string products are used. First, we rewrite the action for bosonic string field theory into a new form where a state in the kernel of the generator of the gauge transformation appears explicitly. Then we use the same strategy and write down our type II action, where a projector onto the small Hilbert space plays an important role. We present lower-order terms up to quartic order and show that three-point amplitudes are reproduced correctly.

8.924722

9.249309

10.555875

8.742294

8.264165

8.383622

8.00862

8.845915

8.774621

10.599062

8.835587

8.238412

9.720522

8.595139

8.492544

8.476842

8.343721

8.732661

8.487627

9.280056

8.286244

hep-th/0507009

Vasiliy Kuratov

N. A. Gromov, V. V. Kuratov

Noncommutative space-time models

8 pages; talk given at XIV International Colloquium of Integrable Systems, Prague, June 16-18, 2005

Czech.J.Phys. 55 (2005) 1421-1426

10.1007/s10582-006-0020-y

null

hep-th

null

The FRT quantum Euclidean spaces $O_q^N$ are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and analytical continuations. Noncommutative constant curvature spaces are introduced as a spheres in the quantum Cayley-Klein spaces. For N=5 part of them are interpreted as the noncommutative analogs of (1+3) space-time models. As a result the quantum (anti) de Sitter, Newton, Galilei kinematics with the fundamental length and the fundamental time are suggested.

[ { "created": "Fri, 1 Jul 2005 10:52:23 GMT", "version": "v1" } ]

2009-11-11

[ [ "Gromov", "N. A.", "" ], [ "Kuratov", "V. V.", "" ] ]

The FRT quantum Euclidean spaces $O_q^N$ are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and analytical continuations. Noncommutative constant curvature spaces are introduced as a spheres in the quantum Cayley-Klein spaces. For N=5 part of them are interpreted as the noncommutative analogs of (1+3) space-time models. As a result the quantum (anti) de Sitter, Newton, Galilei kinematics with the fundamental length and the fundamental time are suggested.

15.627579

13.976476

15.861156

13.192597

11.501965

12.88408

13.91116

12.896993

13.427157

18.279533

12.133804

14.533257

13.662141

14.191703

13.788539

14.623779

13.916631

14.260075

14.163979

14.514679

13.509035

hep-th/0210046

Amir Masoud Ghezelbash

A.M. Ghezelbash, R.B. Mann

Kerr-AdS Bubble Spacetimes and Time-Dependent AdS/CFT Correspondence

8 pages, title changed, discussion of time-dependent AdS/CFT correspondence expanded and references added

Mod.Phys.Lett.A19:1585-1595,2004

10.1142/S021773230401477X

null

hep-th

null

We compute the boundary stress-energies of time-dependent asymptotically AdS spacetimes in 5 and 7 dimensions, and find that their traces are equal to the respective 4 and 6 dimensional field-theoretic trace anomalies. This provides good supporting evidence in favour of the AdS/CFT correspondence in time-dependent backgrounds.

[ { "created": "Fri, 4 Oct 2002 18:47:06 GMT", "version": "v1" }, { "created": "Fri, 11 Oct 2002 18:31:01 GMT", "version": "v2" }, { "created": "Fri, 21 May 2004 18:50:47 GMT", "version": "v3" } ]

2014-11-18

[ [ "Ghezelbash", "A. M.", "" ], [ "Mann", "R. B.", "" ] ]

We compute the boundary stress-energies of time-dependent asymptotically AdS spacetimes in 5 and 7 dimensions, and find that their traces are equal to the respective 4 and 6 dimensional field-theoretic trace anomalies. This provides good supporting evidence in favour of the AdS/CFT correspondence in time-dependent backgrounds.

8.686375

7.598055

7.868715

7.383545

8.171303

8.431528

7.683998

7.097126

7.106886

8.902889

7.326183

7.801443

8.108778

7.96102

8.101605

7.699675

7.752088

7.853796

7.844601

8.087275

8.065744

hep-th/0009064

Philip Mannheim

Aharon Davidson (Ben Gurion) and Philip D. Mannheim (U. Connecticut and MIT)

Dynamical Localization of Gravity

RevTeX, 9 pages. (updated version v2 with references to prior work, conclusions unchanged)

null

MIT-CTP-3015

hep-th

null

We show that the thin wall limit of the thick domain wall associated with a sine-Gordon soliton in a single non-compactified patch of 5-dimensional spacetime explicitly yields the Randall-Sundrum localized gravity two patch brane, with its discrete $Z_2$ symmetry arising from the discrete symmetry of the potential, and with the thin Minkowski brane $\Lambda_5+\kappa^2_5\Lambda^2_b/6=0$ relation between bulk and brane cosmological constants arising naturally without any need for fine tuning. Additionally we show that for an embedded thin de Sitter brane, localization of gravity is again possible provided the 5-space is compactified, with the now non-zero net cosmological constant $\Lambda_5+\kappa^2_5\Lambda^2_b/6$ on the brane being found to vary inversely with the compactification radius.

[ { "created": "Fri, 8 Sep 2000 20:16:20 GMT", "version": "v1" }, { "created": "Mon, 23 Oct 2000 19:31:55 GMT", "version": "v2" } ]

2007-05-23

[ [ "Davidson", "Aharon", "", "Ben Gurion" ], [ "Mannheim", "Philip D.", "", "U. Connecticut\n and MIT" ] ]

We show that the thin wall limit of the thick domain wall associated with a sine-Gordon soliton in a single non-compactified patch of 5-dimensional spacetime explicitly yields the Randall-Sundrum localized gravity two patch brane, with its discrete $Z_2$ symmetry arising from the discrete symmetry of the potential, and with the thin Minkowski brane $\Lambda_5+\kappa^2_5\Lambda^2_b/6=0$ relation between bulk and brane cosmological constants arising naturally without any need for fine tuning. Additionally we show that for an embedded thin de Sitter brane, localization of gravity is again possible provided the 5-space is compactified, with the now non-zero net cosmological constant $\Lambda_5+\kappa^2_5\Lambda^2_b/6$ on the brane being found to vary inversely with the compactification radius.

10.30118

10.3533

10.70125

10.069043

10.815833

10.242605

10.136751

10.006437

9.673852

12.010533

9.130714

9.330366

10.476723

9.757731

9.75481

10.221725

9.936632

9.591109

9.594071

9.89493

9.837928

hep-th/0212019

Carlos M. Naon

Carlos M. Na\'on and Mariano J. Salvay

RG study of a non local sine-Gordon model

15 pages, 4 figures. Revised version, accepted for publication in Nuclear Physics B

Nucl.Phys. B663 (2003) 591-604

10.1016/S0550-3213(03)00374-2

La Plata Th 02-07

hep-th cond-mat.str-el

null

We study a non local version of the sine-Gordon model connected to a many-body system with backward and umklapp scattering processes. Using renormalization group methods we derive the flow equations for the couplings and show how non locality affects the gap in the spectrum of charge-density excitations. We compare our results with previous predictions obtained through the self-consistent harmonic approximation.

[ { "created": "Mon, 2 Dec 2002 21:40:24 GMT", "version": "v1" }, { "created": "Mon, 5 May 2003 17:07:46 GMT", "version": "v2" } ]

2009-11-07

[ [ "Naón", "Carlos M.", "" ], [ "Salvay", "Mariano J.", "" ] ]

We study a non local version of the sine-Gordon model connected to a many-body system with backward and umklapp scattering processes. Using renormalization group methods we derive the flow equations for the couplings and show how non locality affects the gap in the spectrum of charge-density excitations. We compare our results with previous predictions obtained through the self-consistent harmonic approximation.

11.457693

9.84133

12.5673

10.111141

10.295362

11.880684

10.389781

9.466366

9.744857

11.141811

10.111682

10.72084

11.157934

10.542962

11.097218

11.03183

10.507862

10.762935

10.636492

11.189629

10.32069

2003.09304

Paulo Jos\'e Ferreira Porf\'irio Da Silva

Mirjam Cveti\v{c}, Paulo J. Porf\'irio and Alejandro Satz

Gaussian null coordinates, near-horizon geometry and conserved charges on the horizon of extremal non-dilatonic black $p$-branes

25 pages, 1 figure, Contribution to Selected Papers of the Fifth Amazonian Symposium on Physics

Published in Int. J. Mod. Phys. D 29, no.11, 2041004 (2020)

10.1142/S0218271820410047

UPR-1303-T

hep-th

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

In this paper, we examine the emergence of conserved charges on the horizon of a particular class of extremal non-dilatonic black $p$-branes (which reduce to extremal dilatonic black holes in $D=4$ dimensions upon toroidal compactification) in the presence of a probe massless scalar field in the bulk. This result is achieved by writing the black $p$-brane geometry in a Gaussian null coordinate system which allows us to get a non-singular near-horizon geometry description. We find that the near-horizon geometry is $AdS_{p+2}\times S^2$ and that the $AdS_{p+2}$ section has an internal structure which can be seen as a warped product of $AdS_{2}\times S^{p}$ in Gaussian null coordinates. We show that the bulk scalar field satisfying the field equations is expanded in terms of non-normalizable and normalizable modes, which for certain suitable quantization conditions are well-behaved at the boundary of $AdS_{p+2}$ space. Furthermore, we show that picking the normalizable modes results in the existence of conserved quantities on the horizon. We discuss the impact of these conserved quantities in the late time regime.

[ { "created": "Fri, 20 Mar 2020 14:50:51 GMT", "version": "v1" } ]

2020-10-27

[ [ "Cvetič", "Mirjam", "" ], [ "Porfírio", "Paulo J.", "" ], [ "Satz", "Alejandro", "" ] ]

In this paper, we examine the emergence of conserved charges on the horizon of a particular class of extremal non-dilatonic black $p$-branes (which reduce to extremal dilatonic black holes in $D=4$ dimensions upon toroidal compactification) in the presence of a probe massless scalar field in the bulk. This result is achieved by writing the black $p$-brane geometry in a Gaussian null coordinate system which allows us to get a non-singular near-horizon geometry description. We find that the near-horizon geometry is $AdS_{p+2}\times S^2$ and that the $AdS_{p+2}$ section has an internal structure which can be seen as a warped product of $AdS_{2}\times S^{p}$ in Gaussian null coordinates. We show that the bulk scalar field satisfying the field equations is expanded in terms of non-normalizable and normalizable modes, which for certain suitable quantization conditions are well-behaved at the boundary of $AdS_{p+2}$ space. Furthermore, we show that picking the normalizable modes results in the existence of conserved quantities on the horizon. We discuss the impact of these conserved quantities in the late time regime.

5.951564

5.574259

5.847306

5.563639

5.671879

5.681305

5.877408

5.523256

5.755773

6.152671

5.575227

5.468138

5.639744

5.569436

5.491447

5.577747

5.471947

5.560372

5.561593

5.730277

5.650141

2304.14620

Takanori Anegawa

Takanori Anegawa, Norihiro Iizuka

Shock waves and delay of hyperfast growth in de Sitter complexity

39 pages, 12 figures. v2: some footnotes added. references added

null

OU-TH-1183

hep-th

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

We study the holographic complexity in de Sitter spacetime, especially how the hyperfast growth of holographic complexity in de Sitter spacetime is affected under a small and early perturbation. The perturbed geometry is de Sitter spacetime with shock waves. We find that the critical time, at which de Sitter holographic complexity diverges, becomes always greater in the presence of the shock waves, which satisfies the averaged null energy conditions. This means that the hyperfast property of de Sitter complexity is delayed by small perturbations.

[ { "created": "Fri, 28 Apr 2023 04:24:26 GMT", "version": "v1" }, { "created": "Thu, 17 Aug 2023 12:56:42 GMT", "version": "v2" } ]

2023-08-21

[ [ "Anegawa", "Takanori", "" ], [ "Iizuka", "Norihiro", "" ] ]

We study the holographic complexity in de Sitter spacetime, especially how the hyperfast growth of holographic complexity in de Sitter spacetime is affected under a small and early perturbation. The perturbed geometry is de Sitter spacetime with shock waves. We find that the critical time, at which de Sitter holographic complexity diverges, becomes always greater in the presence of the shock waves, which satisfies the averaged null energy conditions. This means that the hyperfast property of de Sitter complexity is delayed by small perturbations.

9.105618

8.373668

9.040832

7.631423

7.995809

8.324663

7.626563

8.354038

7.853354

10.145988

7.617883

8.330841

9.064502

8.249327

8.516281

8.545934

8.160642

8.201787

8.424797

8.695535

8.049939

hep-th/0211146

Marco Aurelio Cattacin Kneipp

Marco A. C. Kneipp

BPS Z_k strings, string tensions and confinement in non-Abelian Theories

14 pages, LaTeX (JHEP3), talk given at the Workshop on Integrable Theories, Solitons and Duality, Sao Paulo, Brazil, 1-6 Jul 2002, (v2) minor text improvement, (v3) minor text improvement

null

CBPF-NF-39/02

hep-th hep-lat hep-ph

null

In this talk we review some generalizations of 't Hooft and Mandelstam ideas on confinement for theories with non-Abelian unbroken gauge groups. In order to do that, we consider N=2 super Yang-Mills with one flavor and a mass breaking term. One of the spontaneous symmetry breaking is accomplished by a scalar that can be in particular in the representation of the diquark condensate and therefore it can be thought as being itself the condensate. We analyze the phases of the theory. In the superconducting phase, we show the existence of BPS Z_k-strings and calculate exactly their string tension in a straightforward way. We also find that magnetic fluxes of the monopole and Z_k-strings are proportional to one another allowing for monopole confinement in a phase transition. We further show that some of the resulting confining theories can be obtained by adding a deformation term to N=2 or N=4 superconformal theories.

[ { "created": "Fri, 15 Nov 2002 15:18:10 GMT", "version": "v1" }, { "created": "Mon, 9 Dec 2002 17:35:36 GMT", "version": "v2" }, { "created": "Tue, 11 Feb 2003 19:06:43 GMT", "version": "v3" } ]

2007-05-23

[ [ "Kneipp", "Marco A. C.", "" ] ]

In this talk we review some generalizations of 't Hooft and Mandelstam ideas on confinement for theories with non-Abelian unbroken gauge groups. In order to do that, we consider N=2 super Yang-Mills with one flavor and a mass breaking term. One of the spontaneous symmetry breaking is accomplished by a scalar that can be in particular in the representation of the diquark condensate and therefore it can be thought as being itself the condensate. We analyze the phases of the theory. In the superconducting phase, we show the existence of BPS Z_k-strings and calculate exactly their string tension in a straightforward way. We also find that magnetic fluxes of the monopole and Z_k-strings are proportional to one another allowing for monopole confinement in a phase transition. We further show that some of the resulting confining theories can be obtained by adding a deformation term to N=2 or N=4 superconformal theories.

10.438095

10.779404

11.223995

10.009071

10.721577

10.173492

10.4178

10.022131

10.922994

12.520291

10.064207

10.02537

10.0014

9.615448

9.98283

9.711675

10.268391

9.73924

9.957943

10.698503

9.75018

1411.3620

Helen Baron Mrs

Wojtek Zakrzewski and Helen Baron

Collective coordinate approximation to the scattering of solitons in modified NLS and sine-Gordon models

null

hep-th nlin.PS

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

We investigate the validity of collective coordinate approaximations to the scattering of solitons in several classes of models in (1+1) dimensional field theory models. We look at models which are deformations of the sine-Gordon (SG) or the nonlinear Schr\"odinger (NLS) model as they posses solitons which are topological (SG) or non-topological (NLS). Our deformations preserve their topology (SG), but changes their integrability properties, either completely or partially (models become `quasi-integrable'). As our collective coordinate approximation does not allow for the radiation of energy out the system we look also, in some detail, at how good this approximation is for models which are `quasi-integrable'. Our results are based on the studies of the interactions and scatterings in two soliton systems. Our results show that a well chosen approximation, based on geodesic motion etc, works amazingly well in all cases where it is expected to work. This is true for the trajectories of the solitons and even for their quasi-conserved (or not) charges. The only time the approximation is not very reliable (and even then the qualitative features are reasonable, but some details are not reproduced well) involves the processes when the solitons, during their scattering, can come very close together (within one width of each other).

[ { "created": "Thu, 13 Nov 2014 17:26:11 GMT", "version": "v1" }, { "created": "Mon, 2 Nov 2015 16:40:38 GMT", "version": "v2" } ]

2015-11-03

[ [ "Zakrzewski", "Wojtek", "" ], [ "Baron", "Helen", "" ] ]

We investigate the validity of collective coordinate approaximations to the scattering of solitons in several classes of models in (1+1) dimensional field theory models. We look at models which are deformations of the sine-Gordon (SG) or the nonlinear Schr\"odinger (NLS) model as they posses solitons which are topological (SG) or non-topological (NLS). Our deformations preserve their topology (SG), but changes their integrability properties, either completely or partially (models become `quasi-integrable'). As our collective coordinate approximation does not allow for the radiation of energy out the system we look also, in some detail, at how good this approximation is for models which are `quasi-integrable'. Our results are based on the studies of the interactions and scatterings in two soliton systems. Our results show that a well chosen approximation, based on geodesic motion etc, works amazingly well in all cases where it is expected to work. This is true for the trajectories of the solitons and even for their quasi-conserved (or not) charges. The only time the approximation is not very reliable (and even then the qualitative features are reasonable, but some details are not reproduced well) involves the processes when the solitons, during their scattering, can come very close together (within one width of each other).

10.118215

10.561192

9.975225

10.055042

10.173427

10.815399

10.354194

11.022873

9.890753

11.258373

9.599842

9.629723

10.182167

9.874381

9.734385

9.731043

9.780926

10.07789

9.980026

10.041014

9.914036

hep-th/0309028

Mohammad R. Garousi

S-matrix elements and covariant tachyon action in type 0 theory

29 pages, latex, no figure

Nucl.Phys. B705 (2005) 212-238

10.1016/j.nuclphysb.2004.10.055

IPM/P-2003/053

hep-th

null

We evaluate the sphere level S-matrix element of two tachyons and two massless NS states, the S-matrix element of four tachyons, and the S-matrix element of two tachyons and two Ramon-Ramond vertex operators, in type 0 theory. We then find an expansion for theses amplitudes that their leading order terms correspond to a covariant tachyon action. To the order considered, there are no $T^4$, $T^2(\prt T)^2$, $T^2H^2$, nor $T^2R$ tachyon couplings, whereas, the tachyon couplings $F\bF T$ and $T^2F^2$ are non-zero.

[ { "created": "Tue, 2 Sep 2003 13:34:35 GMT", "version": "v1" }, { "created": "Wed, 5 Nov 2003 10:59:43 GMT", "version": "v2" }, { "created": "Wed, 21 Jan 2004 05:08:01 GMT", "version": "v3" } ]

2010-04-05

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

We evaluate the sphere level S-matrix element of two tachyons and two massless NS states, the S-matrix element of four tachyons, and the S-matrix element of two tachyons and two Ramon-Ramond vertex operators, in type 0 theory. We then find an expansion for theses amplitudes that their leading order terms correspond to a covariant tachyon action. To the order considered, there are no $T^4$, $T^2(\prt T)^2$, $T^2H^2$, nor $T^2R$ tachyon couplings, whereas, the tachyon couplings $F\bF T$ and $T^2F^2$ are non-zero.

9.654923

8.283667

11.325022

8.602186

8.676685

9.077178

8.009926

8.426106

8.57312

11.496168

7.945664

8.648826

9.070415

8.516324

8.890084

8.609891

8.821675

8.392169

8.388511

8.903523

8.436521

2111.13318

Konstantin Stepanyantz

Ultraviolet divergences in supersymmetric theories regularized by higher derivatives

20 pages, contribution to the proceedings of the 24-th workshop "What Comes Beyond the Standard Models?" (July 5-11, 2021, Bled, Slovenia)

null

hep-th

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

Structure of quantum corrections in ${\cal N}=1$ supersymmetric gauge theories is investigated in the case of using the regularization by higher covariant derivatives. It is demonstrated that this regularization allows revealing some interesting features which lead to the exact relations between the renormalization group functions. In particular, the NSVZ equation, which relates the $\beta$-function to the anomalous dimension of the matter superfields, naturally appears in this case. We briefly review the all-loop derivation of this equation and the construction of a simple renormalization prescription under which it is valid.

[ { "created": "Fri, 26 Nov 2021 05:49:42 GMT", "version": "v1" } ]

2021-11-29

[ [ "Stepanyantz", "Konstantin", "" ] ]

Structure of quantum corrections in ${\cal N}=1$ supersymmetric gauge theories is investigated in the case of using the regularization by higher covariant derivatives. It is demonstrated that this regularization allows revealing some interesting features which lead to the exact relations between the renormalization group functions. In particular, the NSVZ equation, which relates the $\beta$-function to the anomalous dimension of the matter superfields, naturally appears in this case. We briefly review the all-loop derivation of this equation and the construction of a simple renormalization prescription under which it is valid.

8.376665

6.382735

7.164293

6.461246

6.368603

6.044765

6.110065

6.111262

6.255581

8.619102

6.179841

7.287965

7.708868

7.324093

7.151393

6.718341

7.088472

7.050928

7.120952

7.828226

7.486156

0904.4183

Hongbo Cheng

The Casimir force on a piston in Randall-Sundrum models

13 pages, 4 figures

Commun.Theor.Phys.53:1125-1132,2010

10.1088/0253-6102/53/6/27

null

hep-th

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

The Casimir effect of a piston for massless scalar fields which satisfy Dirichlet boundary conditions in the context of five-dimensional Randall-Sundrum models is studied. In these scenarios we derive and calculate the expression for the Casimir force on the piston. We also discuss the Casimir force in the limit that one outer plate is moved to the remote place to show that the nature of the reduced force between the parallel plates left. In the Randall-Sundrum model involving two branes the two plates attract each other when they locate very close, but the reduced Casimir force turns to be repulsive as the plates separation is not extremely tiny, which is against the experimental phenomena. In the case of one brane model the shape of the reduced Casimir force is similar to that of the standard two-parallel-system in the four-dimensional flat spacetimes while the sign of force remains negative.

[ { "created": "Mon, 27 Apr 2009 15:39:50 GMT", "version": "v1" }, { "created": "Sun, 11 Jul 2010 08:42:14 GMT", "version": "v2" } ]

2011-03-28

[ [ "Cheng", "Hongbo", "" ] ]

The Casimir effect of a piston for massless scalar fields which satisfy Dirichlet boundary conditions in the context of five-dimensional Randall-Sundrum models is studied. In these scenarios we derive and calculate the expression for the Casimir force on the piston. We also discuss the Casimir force in the limit that one outer plate is moved to the remote place to show that the nature of the reduced force between the parallel plates left. In the Randall-Sundrum model involving two branes the two plates attract each other when they locate very close, but the reduced Casimir force turns to be repulsive as the plates separation is not extremely tiny, which is against the experimental phenomena. In the case of one brane model the shape of the reduced Casimir force is similar to that of the standard two-parallel-system in the four-dimensional flat spacetimes while the sign of force remains negative.

12.701725

9.943308

12.785122

11.442945

11.486133

10.866055

10.546082

10.796739

10.781785

14.035113

10.971611

11.543835

12.421931

11.768961

11.163985

11.571686

11.689142

11.456999

11.971272

12.709086

11.551368

2212.00194

Isaac Kim

Isaac H. Kim, John Preskill

Complementarity and the unitarity of the black hole $S$-matrix

39 pages, 92 figures, minor changes, published version

JHEP 2023, 233 (2023)

10.1007/JHEP02(2023)233

null

hep-th quant-ph

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

Recently, Akers et al. proposed a non-isometric holographic map from the interior of a black hole to its exterior. Within this model, we study properties of the black hole $S$-matrix, which are in principle accessible to observers who stay outside the black hole. Specifically, we investigate a scenario in which an infalling agent interacts with radiation both outside and inside the black hole. Because the holographic map involves postselection, the unitarity of the $S$-matrix is not guaranteed in this scenario, but we find that unitarity is satisfied to very high precision if suitable conditions are met. If the internal black hole dynamics is described by a pseudorandom unitary transformation, and if the operations performed by the infaller have computational complexity scaling polynomially with the black hole entropy, then the $S$-matrix is unitary up to corrections that are superpolynomially small in the black hole entropy. Furthermore, while in principle quantum computation assisted by postselection can be very powerful, we find under similar assumptions that the $S$-matrix of an evaporating black hole has polynomial computational complexity.

[ { "created": "Thu, 1 Dec 2022 00:40:53 GMT", "version": "v1" }, { "created": "Wed, 15 Feb 2023 17:00:07 GMT", "version": "v2" } ]

2023-03-01

[ [ "Kim", "Isaac H.", "" ], [ "Preskill", "John", "" ] ]

Recently, Akers et al. proposed a non-isometric holographic map from the interior of a black hole to its exterior. Within this model, we study properties of the black hole $S$-matrix, which are in principle accessible to observers who stay outside the black hole. Specifically, we investigate a scenario in which an infalling agent interacts with radiation both outside and inside the black hole. Because the holographic map involves postselection, the unitarity of the $S$-matrix is not guaranteed in this scenario, but we find that unitarity is satisfied to very high precision if suitable conditions are met. If the internal black hole dynamics is described by a pseudorandom unitary transformation, and if the operations performed by the infaller have computational complexity scaling polynomially with the black hole entropy, then the $S$-matrix is unitary up to corrections that are superpolynomially small in the black hole entropy. Furthermore, while in principle quantum computation assisted by postselection can be very powerful, we find under similar assumptions that the $S$-matrix of an evaporating black hole has polynomial computational complexity.

7.543206

6.836768

7.531985

7.093556

7.466318

6.908801

6.74949

6.823783

6.99849

7.751812

6.94637

6.888153

7.408623

7.184035

6.999001

7.047197

7.063253

7.044888

7.134866

7.526964

7.140851

1804.03659

Mikica Kocic

Causal propagation of constraints in bimetric relativity in standard 3+1 form

17 pages, 3 figures

null

10.1007/JHEP10(2019)219

null

hep-th gr-qc

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

The goal of this work was to investigate the propagation of the constraints in the ghost-free bimetric theory where the evolution equations are in standard 3+1 form. It is established that the constraints evolve according to a first-order symmetric hyperbolic system whose characteristic cone consists of the null cones of the two metrics. Consequently, the constraint evolution equations are well-posed, and the constraints stably propagate.

[ { "created": "Tue, 10 Apr 2018 18:00:00 GMT", "version": "v1" } ]

2020-01-08

[ [ "Kocic", "Mikica", "" ] ]

The goal of this work was to investigate the propagation of the constraints in the ghost-free bimetric theory where the evolution equations are in standard 3+1 form. It is established that the constraints evolve according to a first-order symmetric hyperbolic system whose characteristic cone consists of the null cones of the two metrics. Consequently, the constraint evolution equations are well-posed, and the constraints stably propagate.

9.148513

8.894386

8.461958

7.858232

8.809605

8.514162

8.543833

7.812322

8.933724

8.985519

8.255866

8.998514

8.300709

8.301599

7.976017

8.297169

8.846992

8.105429

8.589677

8.453428

8.703775

1112.1329

Martin Kober

Conformal Gravity on Noncommutative Spacetime

10 pages

null

hep-th

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

Conformal gravity on noncommutative spacetime is considered in this paper. The presupposed gravity action consists of the Brans-Dicke gravity action with a special prefactor of the term, where the Ricci scalar couples to the scalar field, to maintain local conformal invariance and the Weyl gravity action. The commutation relations between the coordinates defining the noncommutative geometry are assumed to be of canonical shape. Based on the moyal star product, products of fields depending on the noncommutative coordinates are replaced by generalized expressions containing the usual fields and depending on the noncommutativity parameter. To maintain invariance under local conformal transformations with the gauge parameter depending on noncommutative coordinates, the fields have to be mapped to generalized fields by using Seiberg-Witten maps. According to the moyal star product and the thus induced Seiberg-Witten maps the generalized conformal gravity action is formulated and the corresponding field equations are derived.

[ { "created": "Mon, 5 Dec 2011 17:04:16 GMT", "version": "v1" } ]

2011-12-07

[ [ "Kober", "Martin", "" ] ]

Conformal gravity on noncommutative spacetime is considered in this paper. The presupposed gravity action consists of the Brans-Dicke gravity action with a special prefactor of the term, where the Ricci scalar couples to the scalar field, to maintain local conformal invariance and the Weyl gravity action. The commutation relations between the coordinates defining the noncommutative geometry are assumed to be of canonical shape. Based on the moyal star product, products of fields depending on the noncommutative coordinates are replaced by generalized expressions containing the usual fields and depending on the noncommutativity parameter. To maintain invariance under local conformal transformations with the gauge parameter depending on noncommutative coordinates, the fields have to be mapped to generalized fields by using Seiberg-Witten maps. According to the moyal star product and the thus induced Seiberg-Witten maps the generalized conformal gravity action is formulated and the corresponding field equations are derived.

7.747686

7.593723

8.068339

7.653641

8.020706

8.050085

8.260674

7.515262

7.414732

8.404424

7.328248

7.55085

7.61628

7.560525

7.567496

7.385791

7.604393

7.485413

7.451181

7.453365

7.635982

hep-th/9907076

Michael Bordag

M. Bordag, D.V. Vassilevich

Heat Kernel Expansion for Semitransparent Boundaries

16 pages

J.Phys.A32:8247-8259,1999

10.1088/0305-4470/32/47/304

null

hep-th

null

We study the heat kernel for an operator of Laplace type with a $\delta$-function potential concentrated on a closed surface. We derive the general form of the small $t$ asymptotics and calculate explicitly several first heat kernel coefficients.

[ { "created": "Sun, 11 Jul 1999 20:31:50 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bordag", "M.", "" ], [ "Vassilevich", "D. V.", "" ] ]

We study the heat kernel for an operator of Laplace type with a $\delta$-function potential concentrated on a closed surface. We derive the general form of the small $t$ asymptotics and calculate explicitly several first heat kernel coefficients.

8.902131

6.149565

8.388649

5.924839

6.879303

6.117981

5.710494

5.79373

5.848417

9.514148

5.412937

6.005024

7.483305

6.452269

6.446427

6.196977

6.300989

6.300586

6.566489

7.091406

6.172225

hep-th/9312185

Eric Bergshoeff

E. Bergshoeff, J. de Boer, M. de Roo and T. Tjin

On the Cohomology of the Noncritical $W$-string

38 pages, UG-7/93, ITP-SB-93-79

Nucl.Phys. B420 (1994) 379-408

10.1016/0550-3213(94)90387-5

null

hep-th

null

We investigate the cohomology structure of a general noncritical $W_N$-string. We do this by introducing a new basis in the Hilbert space in which the BRST operator splits into a ``nested'' sum of nilpotent BRST operators. We give explicit details for the case $N=3$. In that case the BRST operator $Q$ can be written as the sum of two, mutually anticommuting, nilpotent BRST operators: $Q=Q_0+Q_1$. We argue that if one chooses for the Liouville sector a $(p,q)$ $W_3$ minimal model then the cohomology of the $Q_1$ operator is closely related to a $(p,q)$ Virasoro minimal model. In particular, the special case of a (4,3) unitary $W_3$ minimal model with central charge $c=0$ leads to a $c=1/2$ Ising model in the $Q_1$ cohomology. Despite all this, noncritical $W_3$ strings are not identical to noncritical Virasoro strings.

[ { "created": "Thu, 23 Dec 1993 11:53:32 GMT", "version": "v1" } ]

2009-10-22

[ [ "Bergshoeff", "E.", "" ], [ "de Boer", "J.", "" ], [ "de Roo", "M.", "" ], [ "Tjin", "T.", "" ] ]

We investigate the cohomology structure of a general noncritical $W_N$-string. We do this by introducing a new basis in the Hilbert space in which the BRST operator splits into a ``nested'' sum of nilpotent BRST operators. We give explicit details for the case $N=3$. In that case the BRST operator $Q$ can be written as the sum of two, mutually anticommuting, nilpotent BRST operators: $Q=Q_0+Q_1$. We argue that if one chooses for the Liouville sector a $(p,q)$ $W_3$ minimal model then the cohomology of the $Q_1$ operator is closely related to a $(p,q)$ Virasoro minimal model. In particular, the special case of a (4,3) unitary $W_3$ minimal model with central charge $c=0$ leads to a $c=1/2$ Ising model in the $Q_1$ cohomology. Despite all this, noncritical $W_3$ strings are not identical to noncritical Virasoro strings.

5.462278

5.082993

5.743411

4.999652

5.311108

4.965106

5.170991

5.187075

5.224715

6.134181

5.076851

5.084126

5.518981

5.059061

5.103882

5.13117

5.02617

4.982284

5.119396

5.391479

5.118388

hep-th/9207039

Gabriele Ferretti

G. Ferretti and S.G. Rajeev

Current Algebra in Three Dimensions

11 pages, UR-1266, ER40685-720

Phys.Rev.Lett. 69 (1992) 2033-2036

10.1103/PhysRevLett.69.2033

null

hep-th

null

We study a three dimensional analogue of the Wess--Zumino--Witten model, which describes the Goldstone bosons of three dimensional Quantum Chromodynamics. The topologically non--trivial term of the action can also be viewed as a nonlinear realization of Chern--Simons form. We obtain the current algebra of this model by canonical methods. This is a three dimensional generalization of the Kac--Moody algebra.

[ { "created": "Mon, 13 Jul 1992 17:13:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ferretti", "G.", "" ], [ "Rajeev", "S. G.", "" ] ]

We study a three dimensional analogue of the Wess--Zumino--Witten model, which describes the Goldstone bosons of three dimensional Quantum Chromodynamics. The topologically non--trivial term of the action can also be viewed as a nonlinear realization of Chern--Simons form. We obtain the current algebra of this model by canonical methods. This is a three dimensional generalization of the Kac--Moody algebra.

8.158408

6.387555

7.117618

6.857325

6.520319

6.956103

6.582063

6.322915

6.35945

7.632093

6.580696

6.701399

7.434038

7.201715

7.16577

6.808571

6.91443

6.828698

7.012245

7.463202

6.721714

hep-th/0504178

Niels Nielsen K.

P.M. Glerfoss, N.K.Nielsen

Instanton constraints and renormalization

29 pages

Annals Phys. 321 (2006) 331-354

10.1016/j.aop.2005.05.001

null

hep-th

null

The renormalization is investigated of one-loop quantum fluctuations around a constrained instanton in $\phi ^4$-theory with negative coupling. It is found that the constraint should be renormalized also. This indicates that in general only renormalizable constraints are permitted.

[ { "created": "Thu, 21 Apr 2005 11:53:17 GMT", "version": "v1" } ]

2009-11-11

[ [ "Glerfoss", "P. M.", "" ], [ "Nielsen", "N. K.", "" ] ]

The renormalization is investigated of one-loop quantum fluctuations around a constrained instanton in $\phi ^4$-theory with negative coupling. It is found that the constraint should be renormalized also. This indicates that in general only renormalizable constraints are permitted.

14.658979

12.062427

10.651762

11.175647

10.470082

11.602838

11.061713

10.991931

9.843983

10.454211

11.204661

11.355333

11.737707

11.401677

10.829187

11.54789

10.639949

11.15783

11.452791

12.45286

11.107702

1003.0886

Irina Pirozhenko G.

V.V. Nesterenko, I.G. Pirozhenko

Vacuum energy in conical space with additional boundary conditions

29 pages, 2 figures, the title was changed for a more adequate one, the abstract was rewritten, a few typos and minor grammar mistakes were corrected

Class. Quantum Grav. 28 (2011) 175020

10.1088/0264-9381/28/17/175020

null

hep-th gr-qc

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

Total vacuum energy of some quantized fields in conical space with additional boundary conditions is calculated. These conditions are imposed on a cylindrical surface which is coaxial with the symmetry axis of conical space. The explicit form of the matching conditions depends on the field under consideration. In the case of electromagnetic field, the perfectly conducting boundary conditions or isorefractive matching conditions are imposed on the cylindrical surface. For a massless scalar field, the semi-transparent conditions ($\delta$-potential) on the cylindrical shell are investigated. As a result, the total Casimir energy of electromagnetic field and scalar field, per a unit length along the symmetry axis, proves to be finite unlike the case of an infinitely thin cosmic string. In these studies the spectral zeta functions are widely used. It is shown briefly how to apply this technique for obtaining the asymptotics of the relevant thermodynamical functions in the high temperature limit.

[ { "created": "Wed, 3 Mar 2010 20:00:13 GMT", "version": "v1" }, { "created": "Wed, 24 Nov 2010 18:16:39 GMT", "version": "v2" }, { "created": "Fri, 19 Aug 2011 07:09:53 GMT", "version": "v3" } ]

2011-08-22

[ [ "Nesterenko", "V. V.", "" ], [ "Pirozhenko", "I. G.", "" ] ]

Total vacuum energy of some quantized fields in conical space with additional boundary conditions is calculated. These conditions are imposed on a cylindrical surface which is coaxial with the symmetry axis of conical space. The explicit form of the matching conditions depends on the field under consideration. In the case of electromagnetic field, the perfectly conducting boundary conditions or isorefractive matching conditions are imposed on the cylindrical surface. For a massless scalar field, the semi-transparent conditions ($\delta$-potential) on the cylindrical shell are investigated. As a result, the total Casimir energy of electromagnetic field and scalar field, per a unit length along the symmetry axis, proves to be finite unlike the case of an infinitely thin cosmic string. In these studies the spectral zeta functions are widely used. It is shown briefly how to apply this technique for obtaining the asymptotics of the relevant thermodynamical functions in the high temperature limit.

9.489319

8.601979

9.71089

8.546498

8.783627

8.688944

8.874146

7.933407

8.296432

9.84622

8.34382

8.620289

9.120537

8.664914

8.639287

8.741339

8.58488

8.383126

8.874616

8.951342

8.841679

2407.03405

Michele Cicoli

Michele Cicoli, Francesc Cunillera, Antonio Padilla, Francisco G. Pedro

From Inflation to Quintessence: a History of the Universe in String Theory

19 pages + appendix, 4 figures, 1 table

null

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

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

We present a type IIB 4D string model with stabilised moduli which is able to describe the history of the universe from inflation to quintessence. The underlying Calabi-Yau volume is controlled by two moduli which are stabilised by perturbative effects. The lighter of them drives Fibre Inflation at a large energy scale. The two associated axions are ultra-light since they are lifted only at the non-perturbative level. The lighter of them can drive quintessence if its decay constant is large enough to prevent quantum diffusion during inflation from ruining the initial conditions. The right dark energy scale can be obtained via a large suppression from poly-instanton effects. The heavier axion gives a negligible contribution to dark matter since it starts oscillating after matter-radiation equality. If instead none of the two axions has a large decay constant, a mild alignment allows the lighter axion to drive quintessence, while the heavier can be at most a few percent of dark matter due to isocurvature and UV bounds. In both cases dark matter can also come from either primordial black holes or the QCD axion.

[ { "created": "Wed, 3 Jul 2024 18:00:02 GMT", "version": "v1" } ]

2024-07-08

[ [ "Cicoli", "Michele", "" ], [ "Cunillera", "Francesc", "" ], [ "Padilla", "Antonio", "" ], [ "Pedro", "Francisco G.", "" ] ]

We present a type IIB 4D string model with stabilised moduli which is able to describe the history of the universe from inflation to quintessence. The underlying Calabi-Yau volume is controlled by two moduli which are stabilised by perturbative effects. The lighter of them drives Fibre Inflation at a large energy scale. The two associated axions are ultra-light since they are lifted only at the non-perturbative level. The lighter of them can drive quintessence if its decay constant is large enough to prevent quantum diffusion during inflation from ruining the initial conditions. The right dark energy scale can be obtained via a large suppression from poly-instanton effects. The heavier axion gives a negligible contribution to dark matter since it starts oscillating after matter-radiation equality. If instead none of the two axions has a large decay constant, a mild alignment allows the lighter axion to drive quintessence, while the heavier can be at most a few percent of dark matter due to isocurvature and UV bounds. In both cases dark matter can also come from either primordial black holes or the QCD axion.

9.544604

9.248487

9.438904

8.87283

9.646026

10.114148

9.463409

10.116656

9.039623

10.072644

9.301033

9.360923

8.99309

9.114111

9.722241

9.389594

9.297111

9.061075

9.116969

8.913232

9.45001

2004.14388

Andreas Stergiou

Johan Henriksson, Stefanos R. Kousvos, Andreas Stergiou

Analytic and Numerical Bootstrap of CFTs with $O(m)\times O(n)$ Global Symmetry in 3D

43 pages, 15 figures. v2: 44 pages, 15 figures. Comments and references added. v3: 46 pages, 15 figures. Comments, references and a few tables with results added. v4: Corrected typo in (3.47), references added

SciPost Phys. 9, 035 (2020)

10.21468/SciPostPhys.9.3.035

LA-UR-20-23147

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

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

Motivated by applications to critical phenomena and open theoretical questions, we study conformal field theories with $O(m)\times O(n)$ global symmetry in $d=3$ spacetime dimensions. We use both analytic and numerical bootstrap techniques. Using the analytic bootstrap, we calculate anomalous dimensions and OPE coefficients as power series in $\varepsilon=4-d$ and in $1/n$, with a method that generalizes to arbitrary global symmetry. Whenever comparison is possible, our results agree with earlier results obtained with diagrammatic methods in the literature. Using the numerical bootstrap, we obtain a wide variety of operator dimension bounds, and we find several islands (isolated allowed regions) in parameter space for $O(2)\times O(n)$ theories for various values of $n$. Some of these islands can be attributed to fixed points predicted by perturbative methods like the $\varepsilon$ and large-$n$ expansions, while others appear to arise due to fixed points that have been claimed to exist in resummations of perturbative beta functions.

[ { "created": "Wed, 29 Apr 2020 18:00:00 GMT", "version": "v1" }, { "created": "Fri, 12 Jun 2020 16:16:12 GMT", "version": "v2" }, { "created": "Mon, 24 Aug 2020 17:17:39 GMT", "version": "v3" }, { "created": "Tue, 8 Dec 2020 21:18:03 GMT", "version": "v4" } ]

2020-12-10

[ [ "Henriksson", "Johan", "" ], [ "Kousvos", "Stefanos R.", "" ], [ "Stergiou", "Andreas", "" ] ]

Motivated by applications to critical phenomena and open theoretical questions, we study conformal field theories with $O(m)\times O(n)$ global symmetry in $d=3$ spacetime dimensions. We use both analytic and numerical bootstrap techniques. Using the analytic bootstrap, we calculate anomalous dimensions and OPE coefficients as power series in $\varepsilon=4-d$ and in $1/n$, with a method that generalizes to arbitrary global symmetry. Whenever comparison is possible, our results agree with earlier results obtained with diagrammatic methods in the literature. Using the numerical bootstrap, we obtain a wide variety of operator dimension bounds, and we find several islands (isolated allowed regions) in parameter space for $O(2)\times O(n)$ theories for various values of $n$. Some of these islands can be attributed to fixed points predicted by perturbative methods like the $\varepsilon$ and large-$n$ expansions, while others appear to arise due to fixed points that have been claimed to exist in resummations of perturbative beta functions.

6.628283

6.383798

7.419382

6.424403

6.445318

6.711582

6.582679

6.314831

6.296785

7.131539

6.50814

6.382712

6.766083

6.318582

6.398723

6.343605

6.392569

6.371131

6.322836

6.926919

6.333325

0708.0469

Pantelis Apostolopoulos

Pantelis S. Apostolopoulos, Nikolaos Brouzakis, Nikolaos Tetradis and Eleftheria Tzavara

Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk

12 pages, no figures, RevTex 4.0; (v2) new references are added; (v3,v4) minor changes, acknowledgment is included; to appear in Phys. Rev. D

Phys.Rev.D76:084029,2007

10.1103/PhysRevD.76.084029

null

hep-th astro-ph gr-qc

null

We extend the covariant analysis of the brane cosmological evolution in order to take into account, apart from a general matter content and an induced-gravity term on the brane, a Gauss-Bonnet term in the bulk. The gravitational effect of the bulk matter on the brane evolution can be described in terms of the total bulk mass as measured by a bulk observer at the location of the brane. This mass appears in the effective Friedmann equation through a term characterized as generalized dark radiation that induces mirage effects in the evolution. We discuss the normal and self-accelerating branches of the combined system. We also derive the Raychaudhuri equation that can be used in order to determine if the cosmological evolution is accelerating.

[ { "created": "Fri, 3 Aug 2007 08:26:35 GMT", "version": "v1" }, { "created": "Fri, 10 Aug 2007 09:04:01 GMT", "version": "v2" }, { "created": "Wed, 26 Sep 2007 11:39:41 GMT", "version": "v3" }, { "created": "Fri, 5 Oct 2007 11:37:32 GMT", "version": "v4" } ]

2008-11-26

[ [ "Apostolopoulos", "Pantelis S.", "" ], [ "Brouzakis", "Nikolaos", "" ], [ "Tetradis", "Nikolaos", "" ], [ "Tzavara", "Eleftheria", "" ] ]

We extend the covariant analysis of the brane cosmological evolution in order to take into account, apart from a general matter content and an induced-gravity term on the brane, a Gauss-Bonnet term in the bulk. The gravitational effect of the bulk matter on the brane evolution can be described in terms of the total bulk mass as measured by a bulk observer at the location of the brane. This mass appears in the effective Friedmann equation through a term characterized as generalized dark radiation that induces mirage effects in the evolution. We discuss the normal and self-accelerating branches of the combined system. We also derive the Raychaudhuri equation that can be used in order to determine if the cosmological evolution is accelerating.

7.975062

7.811085

7.744339

7.78215

8.145044

7.624968

8.033818

7.493956

8.140808

8.10756

7.669031

7.786458

7.917897

7.727346

7.704011

7.764497

7.957667

7.864902

8.045354

7.898588

7.816811

1605.07872

Bernard S. Kay

Bernard S. Kay (York)

Entanglement entropy and algebraic holography

12 pages, 1 figure

null

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

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

In 2006, Ryu and Takayanagi (RT) pointed out that (with a suitable cutoff) the entanglement entropy between two complementary regions of an equal-time surface of a d+1-dimensional conformal field theory on the conformal boundary of AdS_{d+2} is, when the AdS radius is appropriately related to the parameters of the CFT, equal to 1/4G times the area of the d-dimensional minimal surface in the AdS bulk which has the junction of those complementary regions as its boundary, where G is the bulk Newton constant. We point out here that the RT-equality implies that, in the quantum theory on the bulk AdS background which is related to the boundary CFT according to Rehren's 1999 algebraic holography theorem, the entanglement entropy between two complementary bulk Rehren wedges is equal to 1/4G times the (suitably cut off) area of their shared ridge. (This follows because of the geometrical fact that, for complementary ball-shaped regions, the RT minimal surface is precisely the shared ridge of the complementary bulk Rehren wedges which correspond, under Rehren's bulk-wedge to boundary double-cone bijection, to the complementary boundary double-cones whose bases are the RT complementary balls.) This is consistent with the Bianchi-Meyers conjecture -- that, in a theory of quantum gravity, the entanglement entropy, S, between the degrees of freedom of a given region with those of its complement is S = A/4G (+ lower order terms) -- but only if the phrase 'degrees of freedom' is replaced by 'matter degrees of freedom'. It also supports related previous arguments of the author -- consistent with the author's 'matter-gravity entanglement hypothesis' -- that the AdS/CFT correspondence is actually only a bijection between just the matter (i.e. non-gravity) sector operators of the bulk and the boundary CFT operators.

[ { "created": "Wed, 25 May 2016 13:27:05 GMT", "version": "v1" } ]

2016-05-26

[ [ "Kay", "Bernard S.", "", "York" ] ]

In 2006, Ryu and Takayanagi (RT) pointed out that (with a suitable cutoff) the entanglement entropy between two complementary regions of an equal-time surface of a d+1-dimensional conformal field theory on the conformal boundary of AdS_{d+2} is, when the AdS radius is appropriately related to the parameters of the CFT, equal to 1/4G times the area of the d-dimensional minimal surface in the AdS bulk which has the junction of those complementary regions as its boundary, where G is the bulk Newton constant. We point out here that the RT-equality implies that, in the quantum theory on the bulk AdS background which is related to the boundary CFT according to Rehren's 1999 algebraic holography theorem, the entanglement entropy between two complementary bulk Rehren wedges is equal to 1/4G times the (suitably cut off) area of their shared ridge. (This follows because of the geometrical fact that, for complementary ball-shaped regions, the RT minimal surface is precisely the shared ridge of the complementary bulk Rehren wedges which correspond, under Rehren's bulk-wedge to boundary double-cone bijection, to the complementary boundary double-cones whose bases are the RT complementary balls.) This is consistent with the Bianchi-Meyers conjecture -- that, in a theory of quantum gravity, the entanglement entropy, S, between the degrees of freedom of a given region with those of its complement is S = A/4G (+ lower order terms) -- but only if the phrase 'degrees of freedom' is replaced by 'matter degrees of freedom'. It also supports related previous arguments of the author -- consistent with the author's 'matter-gravity entanglement hypothesis' -- that the AdS/CFT correspondence is actually only a bijection between just the matter (i.e. non-gravity) sector operators of the bulk and the boundary CFT operators.

6.805993

8.592102

7.721363

6.892944

7.503059

8.018607

7.506829

7.342126

7.054634

8.397898

7.144675

6.699125

6.859943

6.528026

6.549877

6.347634

6.558576

6.503652

6.581607

6.498206

6.441202

1104.5527

Robert Oeckl

Robert Oeckl (UNAM)

Affine holomorphic quantization

42 pages, LaTeX + AMS; v2: expanded to improve readability, new sections 3.1 (geometric data) and 3.3 (core axioms), minor corrections, update of references; v3: further update of references

J. Geom. Phys. 62 (2012) 1373-1396

10.1016/j.geomphys.2012.02.001

UNAM-IM-MOR-2011-1

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

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

We present a rigorous and functorial quantization scheme for affine field theories, i.e., field theories where local spaces of solutions are affine spaces. The target framework for the quantization is the general boundary formulation, allowing to implement manifest locality without the necessity for metric or causal background structures. The quantization combines the holomorphic version of geometric quantization for state spaces with the Feynman path integral quantization for amplitudes. We also develop an adapted notion of coherent states, discuss vacuum states, and consider observables and their Berezin-Toeplitz quantization. Moreover, we derive a factorization identity for the amplitude in the special case of a linear field theory modified by a source-like term and comment on its use as a generating functional for a generalized S-matrix.

[ { "created": "Thu, 28 Apr 2011 23:11:56 GMT", "version": "v1" }, { "created": "Fri, 17 Feb 2012 02:13:24 GMT", "version": "v2" }, { "created": "Fri, 7 Sep 2012 16:39:27 GMT", "version": "v3" } ]

2012-09-10

[ [ "Oeckl", "Robert", "", "UNAM" ] ]

We present a rigorous and functorial quantization scheme for affine field theories, i.e., field theories where local spaces of solutions are affine spaces. The target framework for the quantization is the general boundary formulation, allowing to implement manifest locality without the necessity for metric or causal background structures. The quantization combines the holomorphic version of geometric quantization for state spaces with the Feynman path integral quantization for amplitudes. We also develop an adapted notion of coherent states, discuss vacuum states, and consider observables and their Berezin-Toeplitz quantization. Moreover, we derive a factorization identity for the amplitude in the special case of a linear field theory modified by a source-like term and comment on its use as a generating functional for a generalized S-matrix.

11.856719

11.968213

13.069756

11.613323

12.266026

12.316069

12.62941

11.827815

11.265112

15.230732

11.465024

11.851789

11.611709

11.291525

11.626787

11.746033

11.428396

11.751737

11.788829

11.791935

11.530087

hep-th/0309187

Fernando Quevedo

C.P. Burgess, R. Kallosh, F. Quevedo

de Sitter String Vacua from Supersymmetric D-terms

17 pages, 1 figure

JHEP 0310:056,2003

10.1088/1126-6708/2003/10/056

NSF-KITP-03-81, DAMTP-2003-90, McGill-03/21, SU-ITP-03/26

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

null

We propose a new mechanism for obtaining de Sitter vacua in type IIB string theory compactified on (orientifolded) Calabi-Yau manifolds similar to those recently studied by Kachru, Kallosh, Linde and Trivedi (KKLT). dS vacuum appears in KKLT model after uplifting an AdS vacuum by adding an anti-D3-brane, which explicitly breaks supersymmetry. We accomplish the same goal by adding fluxes of gauge fields within the D7-branes, which induce a D-term potential in the effective 4D action. In this way we obtain dS space as a spontaneously broken vacuum from a purely supersymmetric 4D action. We argue that our approach can be directly extended to heterotic string vacua, with the dilaton potential obtained from a combination of gaugino condensation and the D-terms generated by anomalous U(1) gauge groups.

[ { "created": "Thu, 18 Sep 2003 16:48:26 GMT", "version": "v1" } ]

2009-11-10

[ [ "Burgess", "C. P.", "" ], [ "Kallosh", "R.", "" ], [ "Quevedo", "F.", "" ] ]

We propose a new mechanism for obtaining de Sitter vacua in type IIB string theory compactified on (orientifolded) Calabi-Yau manifolds similar to those recently studied by Kachru, Kallosh, Linde and Trivedi (KKLT). dS vacuum appears in KKLT model after uplifting an AdS vacuum by adding an anti-D3-brane, which explicitly breaks supersymmetry. We accomplish the same goal by adding fluxes of gauge fields within the D7-branes, which induce a D-term potential in the effective 4D action. In this way we obtain dS space as a spontaneously broken vacuum from a purely supersymmetric 4D action. We argue that our approach can be directly extended to heterotic string vacua, with the dilaton potential obtained from a combination of gaugino condensation and the D-terms generated by anomalous U(1) gauge groups.

6.127051

5.860466

6.274062

5.943126

5.981593

6.263467

6.114109

5.679943

5.96559

7.153995

5.981224

5.820621

5.942365

5.980704

5.949979

5.912253

5.972543

6.103829

6.106468

6.224114

6.099201

2106.09750

David Tempo

Pablo Rodr\'iguez, David Tempo, Ricardo Troncoso

Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations

18 pages. Minor changes, typos corrected and references added

null

10.1007/JHEP11(2021)133

CECS-PHY-20/03

hep-th gr-qc

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

The conformal symmetry algebra in 2D (Diff($S^{1}$)$\oplus$Diff($S^{1}$)) is shown to be related to its ultra/non-relativistic version (BMS$_{3}$$\approx$GCA$_{2}$) through a nonlinear map of the generators, without any sort of limiting process. For a generic classical CFT$_{2}$, the BMS$_{3}$ generators then emerge as composites built out from the chiral (holomorphic) components of the stress-energy tensor, $T$ and $\bar{T}$, closing in the Poisson brackets at equal time slices. Nevertheless, supertranslation generators do not span Noetherian symmetries. BMS$_{3}$ becomes a bona fide symmetry once the CFT$_{2}$ is marginally deformed by the addition of a $\sqrt{T\bar{T}}$ term to the Hamiltonian. The generic deformed theory is manifestly invariant under diffeomorphisms and local scalings, but it is no longer a CFT$_{2}$ because its energy and momentum densities fulfill the BMS$_{3}$ algebra. The deformation can also be described through the original CFT$_{2}$ on a curved metric whose Beltrami differentials are determined by the variation of the deformed Hamiltonian with respect to $T$ and $\bar{T}$. BMS$_{3}$ symmetries then arise from deformed conformal Killing equations, corresponding to diffeomorphisms that preserve the deformed metric and stress-energy tensor up to local scalings. As an example, we briefly address the deformation of $\mathrm{N}$ free bosons, which coincides with ultra-relativistic limits only for $\mathrm{N}=1$. Furthermore, Cardy formula and the S-modular transformation of the torus become mapped to their corresponding BMS$_{3}$ (or flat) versions.

[ { "created": "Thu, 17 Jun 2021 18:11:55 GMT", "version": "v1" }, { "created": "Thu, 22 Jul 2021 13:44:15 GMT", "version": "v2" } ]

2021-12-08

[ [ "Rodríguez", "Pablo", "" ], [ "Tempo", "David", "" ], [ "Troncoso", "Ricardo", "" ] ]

The conformal symmetry algebra in 2D (Diff($S^{1}$)$\oplus$Diff($S^{1}$)) is shown to be related to its ultra/non-relativistic version (BMS$_{3}$$\approx$GCA$_{2}$) through a nonlinear map of the generators, without any sort of limiting process. For a generic classical CFT$_{2}$, the BMS$_{3}$ generators then emerge as composites built out from the chiral (holomorphic) components of the stress-energy tensor, $T$ and $\bar{T}$, closing in the Poisson brackets at equal time slices. Nevertheless, supertranslation generators do not span Noetherian symmetries. BMS$_{3}$ becomes a bona fide symmetry once the CFT$_{2}$ is marginally deformed by the addition of a $\sqrt{T\bar{T}}$ term to the Hamiltonian. The generic deformed theory is manifestly invariant under diffeomorphisms and local scalings, but it is no longer a CFT$_{2}$ because its energy and momentum densities fulfill the BMS$_{3}$ algebra. The deformation can also be described through the original CFT$_{2}$ on a curved metric whose Beltrami differentials are determined by the variation of the deformed Hamiltonian with respect to $T$ and $\bar{T}$. BMS$_{3}$ symmetries then arise from deformed conformal Killing equations, corresponding to diffeomorphisms that preserve the deformed metric and stress-energy tensor up to local scalings. As an example, we briefly address the deformation of $\mathrm{N}$ free bosons, which coincides with ultra-relativistic limits only for $\mathrm{N}=1$. Furthermore, Cardy formula and the S-modular transformation of the torus become mapped to their corresponding BMS$_{3}$ (or flat) versions.

7.122266

7.020018

8.349065

6.968461

7.492743

7.399609

6.773745

6.893423

7.10726

9.053861

6.987413

7.216874

7.510886

7.189298

7.178458

7.066886

7.016752

6.905332

7.108511

7.400643

6.999469

1907.02516

Bruno Le Floch

Bruno Le Floch and M\'ark Mezei

KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior

39 pages. v2: references added, version published in SciPost

SciPost Phys. 7, 043 (2019)

10.21468/SciPostPhys.7.4.043

null

hep-th

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

Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: they behave as probes "riding the Burgers flow" of the energy eigenvalues. We also study a Lorentz-breaking $T_{s+1}\bar{T}$ deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.

[ { "created": "Thu, 4 Jul 2019 17:54:37 GMT", "version": "v1" }, { "created": "Tue, 1 Oct 2019 07:17:33 GMT", "version": "v2" } ]

2019-10-08

[ [ "Floch", "Bruno Le", "" ], [ "Mezei", "Márk", "" ] ]

Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: they behave as probes "riding the Burgers flow" of the energy eigenvalues. We also study a Lorentz-breaking $T_{s+1}\bar{T}$ deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.

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2112.01974

John F. Donoghue

John F. Donoghue and Gabriel Menezes

On Quadratic Gravity

9 pages. This is a distant reflection of a talk given by JFD at the online workshop on Quantum Gravity, Higher Derivatives and Nonlocality, and is to be published in a special volume for the workshop

null

ACFI-T21-14

hep-th gr-qc hep-ph

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

We provide a brief overview of what is known about Quadratic Gravity, which includes terms quadratic in the curvatures in the fundamental action. This is proposed as a renormalizeable UV completion for quantum gravity which continues to use the metric as the fundamental dynamical variable. However, there are unusual field-theoretic consequences because the propagators contain quartic momentum dependence. At the present stage of our understanding, Quadratic Gravity continues to be a viable candidate for a theory of quantum gravity.

[ { "created": "Fri, 3 Dec 2021 15:44:04 GMT", "version": "v1" } ]

2021-12-06

[ [ "Donoghue", "John F.", "" ], [ "Menezes", "Gabriel", "" ] ]

We provide a brief overview of what is known about Quadratic Gravity, which includes terms quadratic in the curvatures in the fundamental action. This is proposed as a renormalizeable UV completion for quantum gravity which continues to use the metric as the fundamental dynamical variable. However, there are unusual field-theoretic consequences because the propagators contain quartic momentum dependence. At the present stage of our understanding, Quadratic Gravity continues to be a viable candidate for a theory of quantum gravity.

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