LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2404.04813

Kory Stiffler

Tyler Grover, Kory Stiffler, and Patrick Vecera

A Covariant and Manifestly Projective Invariant Formulation of Thomas-Whitehead Gravity

21 pages (less pages due to compact PRD two column format), added "Solutions" subsection of section 4, made equations more concise, added references, version to be submitted to PRD

null

hep-th gr-qc

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

Thomas-Whitehead (TW) gravity is a recently formulated projectively invariant extension of Einstein-Hilbert gravity. Projective geometry was used long ago by Thomas et. al. to succinctly package equivalent paths encoded by the geodesic equation. Projective invariance in gravity has further origins in string theory through a geometric action constructed from the method of coadjoint orbits using the Virasoro Algebra. A projectively invariant connection arises from this construction, a part of which is known as the diffeomorphism field. TW gravity exploits projective Gauss-Bonnet terms in the action functional to endow the diffeomorphism field with dynamics, while allowing the theory to collapse to general relativity in the limit that the diffeomorphism field vanishes and the connection becomes Levi-Civita. In the original formulation of TW gravity, the diffeomorphism field is projectively invariant but not tensorial and the connection is projectively invariant but not affine. In this paper we reformulate TW gravity in terms of projectively invariant tensor fields and a projectively invariant covariant derivative, derive field equations respecting these symmetries, and show that the field equations obtained are classically equivalent across formulations. This provides a 'Rosetta Stone' between this newly constructed covariant and projective invariant formulation of TW gravity and the original formulation that was manifestly projective invariant, but not covariant.

[ { "created": "Sun, 7 Apr 2024 05:44:19 GMT", "version": "v1" }, { "created": "Thu, 27 Jun 2024 01:17:22 GMT", "version": "v2" } ]

2024-06-28

[ [ "Grover", "Tyler", "" ], [ "Stiffler", "Kory", "" ], [ "Vecera", "Patrick", "" ] ]

Thomas-Whitehead (TW) gravity is a recently formulated projectively invariant extension of Einstein-Hilbert gravity. Projective geometry was used long ago by Thomas et. al. to succinctly package equivalent paths encoded by the geodesic equation. Projective invariance in gravity has further origins in string theory through a geometric action constructed from the method of coadjoint orbits using the Virasoro Algebra. A projectively invariant connection arises from this construction, a part of which is known as the diffeomorphism field. TW gravity exploits projective Gauss-Bonnet terms in the action functional to endow the diffeomorphism field with dynamics, while allowing the theory to collapse to general relativity in the limit that the diffeomorphism field vanishes and the connection becomes Levi-Civita. In the original formulation of TW gravity, the diffeomorphism field is projectively invariant but not tensorial and the connection is projectively invariant but not affine. In this paper we reformulate TW gravity in terms of projectively invariant tensor fields and a projectively invariant covariant derivative, derive field equations respecting these symmetries, and show that the field equations obtained are classically equivalent across formulations. This provides a 'Rosetta Stone' between this newly constructed covariant and projective invariant formulation of TW gravity and the original formulation that was manifestly projective invariant, but not covariant.

10.057198

9.99165

9.188446

8.622301

9.57634

9.49132

9.588737

8.801526

9.457955

10.10997

9.172024

9.365265

9.031663

9.110276

9.322237

9.440565

9.26041

8.835904

9.252963

9.568748

9.236303

1707.05423

Yu Nakayama

Very Special Conformal Field Theories (VSCFT) and their holographic duals

14 pages, v2: published version with additional comments and reference

Phys. Rev. D 97, 065003 (2018)

10.1103/PhysRevD.97.065003

RUP-17-13

hep-th hep-ph

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

Cohen and Glashow introduced the notion of very special relativity as viable space-time symmetry of elementary particle physics. As a natural generalization of their idea, we study the subgroup of the conformal group, dubbed very special conformal symmetry, which is an extension of the very special relativity. We classify all of them and construct field theory examples as well as holographic realization of the very special conformal field theories.

[ { "created": "Tue, 18 Jul 2017 00:46:38 GMT", "version": "v1" }, { "created": "Mon, 19 Feb 2018 01:18:10 GMT", "version": "v2" } ]

2018-03-14

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

Cohen and Glashow introduced the notion of very special relativity as viable space-time symmetry of elementary particle physics. As a natural generalization of their idea, we study the subgroup of the conformal group, dubbed very special conformal symmetry, which is an extension of the very special relativity. We classify all of them and construct field theory examples as well as holographic realization of the very special conformal field theories.

10.037727

9.861132

9.810254

8.346018

8.75342

9.109379

9.441563

8.932754

8.944039

11.081103

8.437758

8.328162

8.730889

8.271807

8.414345

8.877292

8.78829

8.298706

8.414246

8.644721

8.434819

hep-th/0204193

Konstadinos Sfetsos

A. Brandhuber and K. Sfetsos

Current correlators and AdS/CFT away from the conformal point

12 pages, Latex. Contribution to the proceedings of the 7th Hellenic summer school and Workshops on High Energy Physics, Corfu, Greece, 13 Aug.-13 Sept. 2001

null

CALT-68-2381, CITUSC-02-012

hep-th

null

Using the AdS/CFT correspondence we study vacua of N=4 SYM for which part of the gauge symmetry is broken by expectation values of scalar fields. A specific subclass of such vacua can be analyzed with gauged supergravity and the corresponding domain wall solutions lift to continuous distributions of D3-branes in type IIB string theory. Due to the non-trivial expectation value of the scalars, the SO(6) R-symmetry is spontaneously broken and field theory predicts the existence of Goldstone bosons. We explicitly show that, in the dual supergravity description, these emerge as massless poles in the current two-point functions, while the bulk gauge fields which are dual to the broken currents become massive via the Higgs mechanism. We find agreement with field theory expectations and, hence, provide a non-trivial test of the AdS/CFT correspondence far away from the conformal point.

[ { "created": "Tue, 23 Apr 2002 14:11:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brandhuber", "A.", "" ], [ "Sfetsos", "K.", "" ] ]

Using the AdS/CFT correspondence we study vacua of N=4 SYM for which part of the gauge symmetry is broken by expectation values of scalar fields. A specific subclass of such vacua can be analyzed with gauged supergravity and the corresponding domain wall solutions lift to continuous distributions of D3-branes in type IIB string theory. Due to the non-trivial expectation value of the scalars, the SO(6) R-symmetry is spontaneously broken and field theory predicts the existence of Goldstone bosons. We explicitly show that, in the dual supergravity description, these emerge as massless poles in the current two-point functions, while the bulk gauge fields which are dual to the broken currents become massive via the Higgs mechanism. We find agreement with field theory expectations and, hence, provide a non-trivial test of the AdS/CFT correspondence far away from the conformal point.

6.271412

5.702371

6.554435

5.786627

5.602119

5.986303

5.733223

5.919694

5.549077

7.155058

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5.69561

6.352785

5.908923

5.907259

5.914353

5.793587

5.83273

5.911386

6.595909

5.663649

hep-th/0612265

Vladimir Nesterenko

V.V. Nesterenko

On the instability of classical dynamics in theories with higher derivatives

9 pages, no figures and no tables, revtex4; a few misprints are corrected

Phys.Rev.D75:087703,2007

10.1103/PhysRevD.75.087703

null

hep-th

null

The development of instability in the dynamics of theories with higher derivatives is traced in detail in the framework of the Pais-Uhlenbeck fourth oder oscillator. For this aim the external friction force is introduced in the model and the relevant solutions to equations of motion are investigated. As a result, the physical implication of the energy unboundness from below in theories under consideration is revealed.

[ { "created": "Mon, 25 Dec 2006 12:59:30 GMT", "version": "v1" }, { "created": "Tue, 9 Jan 2007 18:21:02 GMT", "version": "v2" } ]

2008-11-26

[ [ "Nesterenko", "V. V.", "" ] ]

The development of instability in the dynamics of theories with higher derivatives is traced in detail in the framework of the Pais-Uhlenbeck fourth oder oscillator. For this aim the external friction force is introduced in the model and the relevant solutions to equations of motion are investigated. As a result, the physical implication of the energy unboundness from below in theories under consideration is revealed.

15.600433

14.194559

17.070883

14.244949

16.813826

14.469002

13.984733

15.310353

15.183646

15.946828

14.530599

13.399668

14.7805

14.325026

14.230573

14.498495

14.313073

14.161922

14.573658

14.877484

14.218757

2209.13044

Maxim Kurkov

V. G. Kupriyanov, M. A. Kurkov and P. Vitale

Poisson gauge models and Seiberg-Witten map

20 pages

null

10.1007/JHEP11(2022)062

null

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

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

The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the direction of a further development of the proposed formalism, including the derivation of Noether identities and conservation of currents. For any linear non-commutativity, $\Theta^{ab}(x)=f^{ab}_c\,x^c$, with $f^{ab}_c$ being structure constants of a Lie algebra, an explicit form of the gauge Lagrangian is proposed. In particular a universal solution for the matrix $\rho$ defining the field strength and the covariant derivative is found. The previously known examples of $\kappa$-Minkowski, $\lambda$-Minkowski and rotationally invariant non-commutativity are recovered from the general formula. The arbitrariness in the construction of Poisson gauge models is addressed in terms of Seiberg-Witten maps, i.e., invertible field redefinitions mapping gauge orbits onto gauge orbits.

[ { "created": "Mon, 26 Sep 2022 21:53:39 GMT", "version": "v1" } ]

2022-11-30

[ [ "Kupriyanov", "V. G.", "" ], [ "Kurkov", "M. A.", "" ], [ "Vitale", "P.", "" ] ]

The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the direction of a further development of the proposed formalism, including the derivation of Noether identities and conservation of currents. For any linear non-commutativity, $\Theta^{ab}(x)=f^{ab}_c\,x^c$, with $f^{ab}_c$ being structure constants of a Lie algebra, an explicit form of the gauge Lagrangian is proposed. In particular a universal solution for the matrix $\rho$ defining the field strength and the covariant derivative is found. The previously known examples of $\kappa$-Minkowski, $\lambda$-Minkowski and rotationally invariant non-commutativity are recovered from the general formula. The arbitrariness in the construction of Poisson gauge models is addressed in terms of Seiberg-Witten maps, i.e., invertible field redefinitions mapping gauge orbits onto gauge orbits.

8.443099

8.656204

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8.88852

7.6031

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8.023273

7.789273

7.628521

7.685281

7.924382

7.845468

7.717641

7.926157

7.762722

8.015194

1705.06729

Rehan Deen

Rehan Deen, Burt Ovrut

Supergravitational Conformal Galileons

39 pages, 1 figure. Version 4: Typos corrected, minor points on notation clarified

null

10.1007/JHEP08(2017)014

null

hep-th

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

The worldvolume actions of 3+1 dimensional bosonic branes embedded in a five-dimensional bulk space can lead to important effective field theories, such as the DBI conformal Galileons, and may, when the Null Energy Condition is violated, play an essential role in cosmological theories of the early universe. These include Galileon Genesis and "bouncing" cosmology, where a pre-Big Bang contracting phase bounces smoothly to the presently observed expanding universe. Perhaps the most natural arena for such branes to arise is within the context of superstring and $M$-theory vacua. Here, not only are branes required for the consistency of the theory, but, in many cases, the exact spectrum of particle physics occurs at low energy. However, such theories have the additional constraint that they must be $N=1$ supersymmetric. This motivates us to compute the worldvolume actions of $N=1$ supersymmetric three-branes, first in flat superspace and then to generalize them to $N=1$ supergravitation. In this paper, for simplicity, we begin the process, not within the context of a superstring vacuum but, rather, for the conformal Galileons arising on a co-dimension one brane embedded in a maximally symmetric $AdS_{5}$ bulk space. We proceed to $N=1$ supersymmetrize the associated worldvolume theory and then generalize the results to $N=1$ supergravity, opening the door to possible new cosmological scenarios.

[ { "created": "Thu, 18 May 2017 18:16:41 GMT", "version": "v1" }, { "created": "Sat, 27 May 2017 01:41:02 GMT", "version": "v2" }, { "created": "Wed, 28 Jun 2017 16:53:58 GMT", "version": "v3" }, { "created": "Tue, 25 Jul 2017 01:54:38 GMT", "version": "v4" } ]

2017-09-13

[ [ "Deen", "Rehan", "" ], [ "Ovrut", "Burt", "" ] ]

The worldvolume actions of 3+1 dimensional bosonic branes embedded in a five-dimensional bulk space can lead to important effective field theories, such as the DBI conformal Galileons, and may, when the Null Energy Condition is violated, play an essential role in cosmological theories of the early universe. These include Galileon Genesis and "bouncing" cosmology, where a pre-Big Bang contracting phase bounces smoothly to the presently observed expanding universe. Perhaps the most natural arena for such branes to arise is within the context of superstring and $M$-theory vacua. Here, not only are branes required for the consistency of the theory, but, in many cases, the exact spectrum of particle physics occurs at low energy. However, such theories have the additional constraint that they must be $N=1$ supersymmetric. This motivates us to compute the worldvolume actions of $N=1$ supersymmetric three-branes, first in flat superspace and then to generalize them to $N=1$ supergravitation. In this paper, for simplicity, we begin the process, not within the context of a superstring vacuum but, rather, for the conformal Galileons arising on a co-dimension one brane embedded in a maximally symmetric $AdS_{5}$ bulk space. We proceed to $N=1$ supersymmetrize the associated worldvolume theory and then generalize the results to $N=1$ supergravity, opening the door to possible new cosmological scenarios.

7.915163

8.213426

8.29492

7.684072

8.535217

8.272975

8.600676

8.055411

7.94739

8.322004

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7.758833

7.836635

7.721996

7.945609

7.783737

7.823676

7.599786

7.619113

7.676232

7.74101

hep-th/0305168

Antti J. Niemi

Three Dimensional Gravity From SU(2) Yang-Mills Theory in Two Dimensions

null

Phys.Rev. D70 (2004) 045017

10.1103/PhysRevD.70.045017

null

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

null

We argue that two dimensional classical SU(2) Yang-Mills theory describes the embedding of Riemann surfaces in three dimensional curved manifolds. Specifically, the Yang-Mills field strength tensor computes the Riemannian curvature tensor of the ambient space in a thin neighborhood of the surface. In this sense the two dimensional gauge theory then serves as a source of three dimensional gravity. In particular, if the three dimensional manifold is flat it corresponds to the vacuum of the Yang-Mills theory. This implies that all solutions to the original Gauss-Codazzi surface equations determine two dimensional integrable models with a SU(2) Lax pair. Furthermore, the three dimensional SU(2) Chern-Simons theory describes the Hamiltonian dynamics of two dimensional Riemann surfaces in a four dimensional flat space-time.

[ { "created": "Tue, 20 May 2003 10:48:35 GMT", "version": "v1" } ]

2009-11-10

[ [ "Niemi", "Antti J.", "" ] ]

We argue that two dimensional classical SU(2) Yang-Mills theory describes the embedding of Riemann surfaces in three dimensional curved manifolds. Specifically, the Yang-Mills field strength tensor computes the Riemannian curvature tensor of the ambient space in a thin neighborhood of the surface. In this sense the two dimensional gauge theory then serves as a source of three dimensional gravity. In particular, if the three dimensional manifold is flat it corresponds to the vacuum of the Yang-Mills theory. This implies that all solutions to the original Gauss-Codazzi surface equations determine two dimensional integrable models with a SU(2) Lax pair. Furthermore, the three dimensional SU(2) Chern-Simons theory describes the Hamiltonian dynamics of two dimensional Riemann surfaces in a four dimensional flat space-time.

7.888568

8.2078

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8.029222

8.102779

7.565662

7.328966

7.469247

8.890701

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7.74564

7.484649

7.686347

7.634686

7.673927

7.737751

7.695587

7.905472

7.52016

hep-th/0505201

Michele Caselle

M. Billo and M. Caselle

Polyakov loop correlators from D0-brane interactions in bosonic string theory

17 pages, 4 figures, minor corrections, a few references added, version accepted for publication in JHEP

JHEP 0507:038,2005

10.1088/1126-6708/2005/07/038

DFTT/13/2005

hep-th hep-lat

null

In this paper we re-derive the effective Nambu-Goto theory result for the Polyakov loop correlator, starting from the free bosonic string and using a covariant quantization. The boundary conditions are those of an open string attached to two D0-branes at spatial distance R, in a target space with compact euclidean time. The one-loop free energy contains topologically distinct sectors corresponding to multiple covers of the cylinder in target space bordered by the Polyakov loops. The sector that winds once reproduces exactly the Nambu-Goto partition function. In our approach, the world-sheet duality between the open and closed channel is most evident and allows for an explicit interpretation of the free energy in terms of tree level exchange of closed strings between boundary states. Our treatment is fully consistent only in d=26; extension to generic d may be justified for large R, and is supported by Montecarlo data. At shorter scales, consistency and Montecarlo data seem to suggest the necessity of taking into account the Liouville mode of Polyakov's formulation.

[ { "created": "Mon, 23 May 2005 16:09:52 GMT", "version": "v1" }, { "created": "Thu, 14 Jul 2005 11:02:15 GMT", "version": "v2" } ]

2010-02-03

[ [ "Billo", "M.", "" ], [ "Caselle", "M.", "" ] ]

In this paper we re-derive the effective Nambu-Goto theory result for the Polyakov loop correlator, starting from the free bosonic string and using a covariant quantization. The boundary conditions are those of an open string attached to two D0-branes at spatial distance R, in a target space with compact euclidean time. The one-loop free energy contains topologically distinct sectors corresponding to multiple covers of the cylinder in target space bordered by the Polyakov loops. The sector that winds once reproduces exactly the Nambu-Goto partition function. In our approach, the world-sheet duality between the open and closed channel is most evident and allows for an explicit interpretation of the free energy in terms of tree level exchange of closed strings between boundary states. Our treatment is fully consistent only in d=26; extension to generic d may be justified for large R, and is supported by Montecarlo data. At shorter scales, consistency and Montecarlo data seem to suggest the necessity of taking into account the Liouville mode of Polyakov's formulation.

12.908071

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12.754452

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13.257028

13.650804

12.689636

1212.3254

Leron Borsten

L. Borsten, M. J. Duff, S. Ferrara, A. Marrani

Freudenthal Dual Lagrangians

1+16 pages, 1 Table, updated to match published version

Class. Quantum Grav. 30 235003 2013

10.1088/0264-9381/30/23/235003

Imperial/TP/2012/mjd/05; CERN-PH-TH/2012-336

hep-th

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

The global U-dualities of extended supergravity have played a central role in differentiating the distinct classes of extremal black hole solutions. When the U-duality group satisfies certain algebraic conditions, as is the case for a broad class of supergravities, the extremal black holes enjoy a further symmetry known as Freudenthal duality (F-duality), which although distinct from U-duality preserves the Bekenstein-Hawking entropy. Here it is shown that, by adopting the doubled Lagrangian formalism, F-duality, defined on the doubled field strengths, is not only a symmetry of the black hole solutions, but also of the equations of motion themselves. A further role for F-duality is introduced in the context of world-sheet actions. The Nambu-Goto world-sheet action in any (t, s) signature spacetime can be written in terms of the F-dual. The corresponding field equations and Bianchi identities are then related by F-duality allowing for an F-dual formulation of Gaillard-Zumino duality on the world-sheet. An equivalent polynomial "Polyakov- type" action is introduced using the so-called black hole potential. Such a construction allows for actions invariant under all groups of type E7, including E7 itself, although in this case the stringy interpretation is less clear.

[ { "created": "Thu, 13 Dec 2012 18:27:11 GMT", "version": "v1" }, { "created": "Thu, 10 Oct 2013 09:13:28 GMT", "version": "v2" } ]

2013-10-11

[ [ "Borsten", "L.", "" ], [ "Duff", "M. J.", "" ], [ "Ferrara", "S.", "" ], [ "Marrani", "A.", "" ] ]

The global U-dualities of extended supergravity have played a central role in differentiating the distinct classes of extremal black hole solutions. When the U-duality group satisfies certain algebraic conditions, as is the case for a broad class of supergravities, the extremal black holes enjoy a further symmetry known as Freudenthal duality (F-duality), which although distinct from U-duality preserves the Bekenstein-Hawking entropy. Here it is shown that, by adopting the doubled Lagrangian formalism, F-duality, defined on the doubled field strengths, is not only a symmetry of the black hole solutions, but also of the equations of motion themselves. A further role for F-duality is introduced in the context of world-sheet actions. The Nambu-Goto world-sheet action in any (t, s) signature spacetime can be written in terms of the F-dual. The corresponding field equations and Bianchi identities are then related by F-duality allowing for an F-dual formulation of Gaillard-Zumino duality on the world-sheet. An equivalent polynomial "Polyakov- type" action is introduced using the so-called black hole potential. Such a construction allows for actions invariant under all groups of type E7, including E7 itself, although in this case the stringy interpretation is less clear.

9.855577

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10.073343

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10.196711

9.640255

9.810374

9.882189

9.884086

9.632577

9.77383

9.916603

9.744582

1711.05958

Andrea Brini

$E_8$ spectral curves

87 pages, 5 figures. Raw binaries containing spectral curve data available with an accompanying Mathematica notebook at https://tiny.cc/E8SpecCurve (180Mb ZIP archive; beware this currently unpacks to 912Mb). v2: a few corrections in section 5, typos fixed. v3: minor changes in the introduction, references added, version accepted for publication on Proc. Lond. Math. Soc

null

10.1112/plms.12331

null

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

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

I provide an explicit construction of spectral curves for the affine $\mathrm{E}_8$ relativistic Toda chain. Their closed form expression is obtained by determining the full set of character relations in the representation ring of $\mathrm{E}_8$ for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of both integrals of motion and the action-angle map for the resulting integrable system. I consider two main areas of applications of these constructions. On the one hand, I consider the resulting family of spectral curves in the context of the correspondences between Toda systems, 5d Seiberg-Witten theory, Gromov-Witten theory of orbifolds of the resolved conifold, and Chern-Simons theory to establish a version of the B-model Gopakumar-Vafa correspondence for the $\mathrm{sl}_N$ L\^e-Murakami-Ohtsuki invariant of the Poincar\'e integral homology sphere to all orders in $1/N$. On the other, I consider a degenerate version of the spectral curves and prove a 1-dimensional Landau-Ginzburg mirror theorem for the Frobenius manifold structure on the space of orbits of the extended affine Weyl group of type $\mathrm{E}_8$ introduced by Dubrovin-Zhang (equivalently, the orbifold quantum cohomology of the type-$\mathrm{E}_8$ polynomial $\mathbb{C} P^1$ orbifold). This leads to closed-form expressions for the flat co-ordinates of the Saito metric, the prepotential, and a higher genus mirror theorem based on the Chekhov-Eynard-Orantin recursion. I will also show how the constructions of the paper lead to a generalisation of a conjecture of Norbury-Scott to ADE $\mathbb{P}^1$-orbifolds, and a mirror of the Dubrovin-Zhang construction for all Weyl groups and choices of marked roots.

[ { "created": "Thu, 16 Nov 2017 07:00:43 GMT", "version": "v1" }, { "created": "Sat, 16 Dec 2017 21:24:45 GMT", "version": "v2" }, { "created": "Mon, 25 Nov 2019 20:04:38 GMT", "version": "v3" } ]

2020-05-27

[ [ "Brini", "Andrea", "" ] ]

I provide an explicit construction of spectral curves for the affine $\mathrm{E}_8$ relativistic Toda chain. Their closed form expression is obtained by determining the full set of character relations in the representation ring of $\mathrm{E}_8$ for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of both integrals of motion and the action-angle map for the resulting integrable system. I consider two main areas of applications of these constructions. On the one hand, I consider the resulting family of spectral curves in the context of the correspondences between Toda systems, 5d Seiberg-Witten theory, Gromov-Witten theory of orbifolds of the resolved conifold, and Chern-Simons theory to establish a version of the B-model Gopakumar-Vafa correspondence for the $\mathrm{sl}_N$ L\^e-Murakami-Ohtsuki invariant of the Poincar\'e integral homology sphere to all orders in $1/N$. On the other, I consider a degenerate version of the spectral curves and prove a 1-dimensional Landau-Ginzburg mirror theorem for the Frobenius manifold structure on the space of orbits of the extended affine Weyl group of type $\mathrm{E}_8$ introduced by Dubrovin-Zhang (equivalently, the orbifold quantum cohomology of the type-$\mathrm{E}_8$ polynomial $\mathbb{C} P^1$ orbifold). This leads to closed-form expressions for the flat co-ordinates of the Saito metric, the prepotential, and a higher genus mirror theorem based on the Chekhov-Eynard-Orantin recursion. I will also show how the constructions of the paper lead to a generalisation of a conjecture of Norbury-Scott to ADE $\mathbb{P}^1$-orbifolds, and a mirror of the Dubrovin-Zhang construction for all Weyl groups and choices of marked roots.

6.765257

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6.695179

1806.07097

Achilleas Porfyriadis

Achilleas P. Porfyriadis

Near-$AdS_2$ perturbations and the connection with near-extreme Reissner-Nordstrom

14 pages, v2: Conclusion section added, Mathematica notebook attached, matches published version

Eur. Phys. J. C (2019) 79: 841

10.1140/epjc/s10052-019-7347-6

null

hep-th gr-qc

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

The geometry very near the horizon of a near-extreme Reissner-Nordstrom black hole is described by the direct product of a near-$AdS_2$ spacetime with a two-sphere. While near-$AdS_2$ is locally diffeomorphic to $AdS_2$ the two connect differently with the asymptotically flat part of the geometry of (near-)extreme Reissner-Nordstrom. In previous work, we solved analytically the coupled gravitational and electromagnetic perturbation equations of $AdS_2\times S^2$ and the associated connection problem with extreme Reissner-Nordstrom. In this paper, we give the solution for perturbations of near-$AdS_2\times S^2$ and make the connection with near-extreme Reissner-Nordstrom. Our results here may also be thought of as computing the classical scattering matrix for gravitational and electromagnetic waves which probe the region very near the horizon of a highly charged spherically symmetric black hole.

[ { "created": "Tue, 19 Jun 2018 08:32:13 GMT", "version": "v1" }, { "created": "Tue, 15 Oct 2019 06:00:59 GMT", "version": "v2" } ]

2019-10-16

[ [ "Porfyriadis", "Achilleas P.", "" ] ]

The geometry very near the horizon of a near-extreme Reissner-Nordstrom black hole is described by the direct product of a near-$AdS_2$ spacetime with a two-sphere. While near-$AdS_2$ is locally diffeomorphic to $AdS_2$ the two connect differently with the asymptotically flat part of the geometry of (near-)extreme Reissner-Nordstrom. In previous work, we solved analytically the coupled gravitational and electromagnetic perturbation equations of $AdS_2\times S^2$ and the associated connection problem with extreme Reissner-Nordstrom. In this paper, we give the solution for perturbations of near-$AdS_2\times S^2$ and make the connection with near-extreme Reissner-Nordstrom. Our results here may also be thought of as computing the classical scattering matrix for gravitational and electromagnetic waves which probe the region very near the horizon of a highly charged spherically symmetric black hole.

5.227472

4.989942

5.30341

5.155077

5.232131

5.062025

5.043617

5.086493

5.098552

5.369038

5.099677

4.962446

5.189409

5.049984

5.080634

5.063154

5.055629

5.06476

4.998415

4.996465

5.016454

2404.00773

Roji Pius

Krishna Jalan, Roji Pius, Manish Ramchander

Half-sided Translations and the Information Recovery from Radiation

24 pages, 9 figures. arXiv admin note: text overlap with arXiv:2312.11085

null

hep-th

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

The island paradigm asserts that after the Page time the operators in the interior of an AdS2 eternal black hole in equilibrium with a finite temperature non-gravitating bath can not be reconstructed using the operators in the black hole region outside the horizon. In a recent paper, we demonstrated this using the black hole interior reconstruction proposal due to Leutheusser and Liu, based on the half-sided translations. This was done by introducing a notion of the reduced half-sided translations associated with the algebra of operators restricted to the black hole region outside the horizon, and by showing that albeit the reduced half-sided translations translate operators in the black hole region outside the horizon to the black hole interior before the Page time, it fails to do so after the Page time. In this paper, we demonstrate the second assertion of the island paradigm, which states that after the Page time the operators in the black hole interior can be reconstructed using the operators in the bath. We show that even though before the Page time the reduced half-sided translations associated with the algebra of operators restricted to the bath do not translate operators in the bath to the black hole interior, after the Page time they take them to the black hole interior.

[ { "created": "Sun, 31 Mar 2024 19:05:38 GMT", "version": "v1" } ]

2024-04-02

[ [ "Jalan", "Krishna", "" ], [ "Pius", "Roji", "" ], [ "Ramchander", "Manish", "" ] ]

The island paradigm asserts that after the Page time the operators in the interior of an AdS2 eternal black hole in equilibrium with a finite temperature non-gravitating bath can not be reconstructed using the operators in the black hole region outside the horizon. In a recent paper, we demonstrated this using the black hole interior reconstruction proposal due to Leutheusser and Liu, based on the half-sided translations. This was done by introducing a notion of the reduced half-sided translations associated with the algebra of operators restricted to the black hole region outside the horizon, and by showing that albeit the reduced half-sided translations translate operators in the black hole region outside the horizon to the black hole interior before the Page time, it fails to do so after the Page time. In this paper, we demonstrate the second assertion of the island paradigm, which states that after the Page time the operators in the black hole interior can be reconstructed using the operators in the bath. We show that even though before the Page time the reduced half-sided translations associated with the algebra of operators restricted to the bath do not translate operators in the bath to the black hole interior, after the Page time they take them to the black hole interior.

6.983339

5.10234

6.374223

4.99249

5.564033

4.775979

5.217993

5.486161

5.207236

7.144608

5.326508

5.33123

5.849852

5.344016

5.583378

5.331038

5.48787

5.728251

5.621502

5.924512

5.501965

hep-th/0005143

Elcio Abdalla

B. Wang, C. Molina, and E. Abdalla

Evolving of a massless scalar field in Reissner--Nordstr\"{o}m Anti--de Sitter spacetimes

version published in Physical Review D

Phys.Rev. D63 (2001) 084001

10.1103/PhysRevD.63.084001

null

hep-th

null

We investigate the evolution of a scalar field propagating in Reissner--Nordstr\"{o}m Anti--de Sitter spacetime. Due to the characteristic of spacetime geometry, the radiative tails associated with a massless scalar field propagation have an oscillatory exponential decay. The object--picture of the quasinormal ringing has also been obtained. For small charges, the approach to thermal equilibrium is faster for larger charges. However, after the black hole charge reaches a critical value, we get the opposite behavior for the imaginary frequencies of the quasinormal modes. Some possible explanations concerning the wiggle of the imaginary frequencies have been given. The picture of the quasinormal modes depending on the multipole index has also been illustrated.

[ { "created": "Tue, 16 May 2000 14:40:48 GMT", "version": "v1" }, { "created": "Thu, 16 May 2002 17:43:07 GMT", "version": "v2" } ]

2009-10-31

[ [ "Wang", "B.", "" ], [ "Molina", "C.", "" ], [ "Abdalla", "E.", "" ] ]

We investigate the evolution of a scalar field propagating in Reissner--Nordstr\"{o}m Anti--de Sitter spacetime. Due to the characteristic of spacetime geometry, the radiative tails associated with a massless scalar field propagation have an oscillatory exponential decay. The object--picture of the quasinormal ringing has also been obtained. For small charges, the approach to thermal equilibrium is faster for larger charges. However, after the black hole charge reaches a critical value, we get the opposite behavior for the imaginary frequencies of the quasinormal modes. Some possible explanations concerning the wiggle of the imaginary frequencies have been given. The picture of the quasinormal modes depending on the multipole index has also been illustrated.

11.109853

11.256636

10.205159

10.030574

10.730591

9.769121

11.256693

10.273932

10.667938

11.053962

10.385242

10.716825

9.985044

9.926598

10.595186

10.408445

10.521078

10.053564

10.798659

10.15554

10.142118

1504.05044

Gaston Giribet

Gaston Giribet, Arash Ranjbar

Screening Stringy Horizons

14 pages

Eur. Phys. J. C75 (2015) 490

null

hep-th

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

It has been argued recently that string theory effects qualitatively modify the effective black hole geometry experienced by modes with radial momentum of order $1/\sqrt{\alpha'}$. At tree level, these $\alpha'$-effects can be explicitly worked out in two-dimensional string theory, and have a natural explanation in the T-dual description as coming from the integration of the zero-mode of the linear dilaton, what yields a contribution that affects the scattering phase-shift in a peculiar manner. It has also been argued that the phase-shift modification has its origin in a region of the moduli space that does not belong to the exterior black hole geometry, leading to the conclusion that at high energy the physics of the problem is better described by the dual model. Here, we elaborate on this argument. We consider the contribution of worldsheet instantons in the 2D Euclidean black hole sigma-model and study its influence on the phase-shift at high energy.

[ { "created": "Mon, 20 Apr 2015 13:14:05 GMT", "version": "v1" } ]

2015-10-19

[ [ "Giribet", "Gaston", "" ], [ "Ranjbar", "Arash", "" ] ]

It has been argued recently that string theory effects qualitatively modify the effective black hole geometry experienced by modes with radial momentum of order $1/\sqrt{\alpha'}$. At tree level, these $\alpha'$-effects can be explicitly worked out in two-dimensional string theory, and have a natural explanation in the T-dual description as coming from the integration of the zero-mode of the linear dilaton, what yields a contribution that affects the scattering phase-shift in a peculiar manner. It has also been argued that the phase-shift modification has its origin in a region of the moduli space that does not belong to the exterior black hole geometry, leading to the conclusion that at high energy the physics of the problem is better described by the dual model. Here, we elaborate on this argument. We consider the contribution of worldsheet instantons in the 2D Euclidean black hole sigma-model and study its influence on the phase-shift at high energy.

12.360146

11.639374

11.857903

11.28377

11.768107

12.124036

11.875458

11.711394

11.669166

12.505226

11.322173

11.469874

11.928309

11.230129

11.324938

11.499691

11.485755

11.272735

11.013933

11.442752

11.121622

1206.3228

Savdeep Sethi

Callum Quigley, Savdeep Sethi, Mark Stern

Novel Branches of (0,2) Theories

36 pages, LaTeX, 2 figures; typo in Appendix fixed; references added and additional minor changes

null

10.1007/JHEP09(2012)064

null

hep-th

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

We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. This observation puts models with log interactions on firm footing. If non-anomalous multiplets are integrated out, the resulting low-energy theory involves log interactions of neutral fields. For these cases, we find a sigma model geometry which is both non-toric and includes brane sources. These are heterotic sigma models with branes. Surprisingly, there are massive models with compact complex non-Kahler target spaces, which include brane/anti-brane sources. The simplest conformal models describe wrapped heterotic NS5-branes. We present examples of both types.

[ { "created": "Thu, 14 Jun 2012 19:56:29 GMT", "version": "v1" }, { "created": "Wed, 11 Jul 2012 18:46:08 GMT", "version": "v2" }, { "created": "Thu, 30 Aug 2012 15:41:13 GMT", "version": "v3" } ]

2015-06-05

[ [ "Quigley", "Callum", "" ], [ "Sethi", "Savdeep", "" ], [ "Stern", "Mark", "" ] ]

We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. This observation puts models with log interactions on firm footing. If non-anomalous multiplets are integrated out, the resulting low-energy theory involves log interactions of neutral fields. For these cases, we find a sigma model geometry which is both non-toric and includes brane sources. These are heterotic sigma models with branes. Surprisingly, there are massive models with compact complex non-Kahler target spaces, which include brane/anti-brane sources. The simplest conformal models describe wrapped heterotic NS5-branes. We present examples of both types.

20.331934

19.003859

24.221128

18.933277

19.688681

20.596437

19.584484

19.132931

18.220804

25.103498

17.548923

19.57513

21.961384

20.274298

19.094206

18.587467

19.289268

19.489063

19.156115

21.552794

18.439392

hep-th/0209174

Fedele Lizzi

Alessandra Agostini, Fedele Lizzi and Alessandro Zampini

Generalized Weyl systems and kappa-Minkowski space

21 pages, minor corrections and references added

Mod.Phys.Lett. A17 (2002) 2105-2126

10.1142/S021773230200871X

DSF-20-02

hep-th

null

We introduce the notion of generalized Weyl system, and use it to define *-products which generalize the commutation relations of Lie algebras. In particular we study in a comparative way various *-products which generalize the k-Minkowski commutation relations.

[ { "created": "Fri, 20 Sep 2002 14:31:50 GMT", "version": "v1" }, { "created": "Mon, 11 Nov 2002 17:28:38 GMT", "version": "v2" } ]

2009-11-07

[ [ "Agostini", "Alessandra", "" ], [ "Lizzi", "Fedele", "" ], [ "Zampini", "Alessandro", "" ] ]

We introduce the notion of generalized Weyl system, and use it to define *-products which generalize the commutation relations of Lie algebras. In particular we study in a comparative way various *-products which generalize the k-Minkowski commutation relations.

12.440375

11.167595

11.952969

10.811715

10.46608

11.720056

11.749685

10.768971

9.926943

13.966002

11.677799

11.381665

12.329634

11.623356

11.633539

11.168088

10.791409

11.614677

11.500868

12.430654

11.731544

hep-th/0310141

Yi Ling

Yi Ling, Roh-Suan Tung and Han-Ying Guo

(Super)gravity and Yang-Mills Theories as Generalized Topological Fields with Constraints

24 pages

Phys.Rev. D70 (2004) 044045

10.1103/PhysRevD.70.044045

null

hep-th gr-qc

null

We present a general approach to construct a class of generalized topological field theories with constraints by means of generalized differential calculus and its application to connection theory. It turns out that not only the ordinary BF formulations of general relativity and Yang-Mills theories, but also the N=1,2 chiral supergravities can be reformulated as these constrained generalized topological field theories once the free parameters in the Lagrangian are specially chosen. We also show that the Chern-Simons action on the boundary may naturally be induced from the generalized topological action in the bulk, rather than introduced by hand.

[ { "created": "Wed, 15 Oct 2003 13:47:37 GMT", "version": "v1" } ]

2009-11-10

[ [ "Ling", "Yi", "" ], [ "Tung", "Roh-Suan", "" ], [ "Guo", "Han-Ying", "" ] ]

We present a general approach to construct a class of generalized topological field theories with constraints by means of generalized differential calculus and its application to connection theory. It turns out that not only the ordinary BF formulations of general relativity and Yang-Mills theories, but also the N=1,2 chiral supergravities can be reformulated as these constrained generalized topological field theories once the free parameters in the Lagrangian are specially chosen. We also show that the Chern-Simons action on the boundary may naturally be induced from the generalized topological action in the bulk, rather than introduced by hand.

8.740262

8.922236

8.755773

7.8922

8.95919

8.024964

8.683875

7.936286

8.486025

8.599785

8.078845

8.222119

8.718675

7.856251

8.307623

8.069983

8.270109

8.051311

8.332391

8.741337

8.191051

hep-th/9808054

Reinhard Oehme

Reduction of Dual Theories

15 pages, Latex

Phys.Rev. D59 (1999) 105004

10.1103/PhysRevD.59.105004

EFI 98-27, MPI-Ph/98-52

hep-th

null

In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the dual gauge coupling. In the conformal window and above it, a unique, isolated solution is obtained. The coupling parameter of the superpotential is given simply by f times the square of the gauge coupling. Here f is a function of the the number of colors and the number of flavors, and it is known explicitly. The solution is valid to all orders in the asymptotic expansion, and it is the appropriate choice for the dual theory. The same solution exists in the free magnetic interval. A `general' solution with non-integer powers is discussed, as are some exceptional cases.

[ { "created": "Mon, 10 Aug 1998 13:09:13 GMT", "version": "v1" }, { "created": "Thu, 10 Sep 1998 12:17:39 GMT", "version": "v2" } ]

2009-10-31

[ [ "Oehme", "Reinhard", "" ] ]

In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the dual gauge coupling. In the conformal window and above it, a unique, isolated solution is obtained. The coupling parameter of the superpotential is given simply by f times the square of the gauge coupling. Here f is a function of the the number of colors and the number of flavors, and it is known explicitly. The solution is valid to all orders in the asymptotic expansion, and it is the appropriate choice for the dual theory. The same solution exists in the free magnetic interval. A `general' solution with non-integer powers is discussed, as are some exceptional cases.

11.937405

12.021228

11.83971

11.310917

11.343884

11.475201

11.984744

11.129593

11.315738

12.683435

10.811218

11.694798

12.162003

11.357718

11.253263

11.417133

11.80725

11.498768

11.398826

11.866311

11.008848

hep-th/9808140

Noah Graham

N. Graham and R. L. Jaffe

Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons

15 pages, RevTeX; v2: generalized energy result, added minor clarifications, and fixed typos; v3: more minor clarifications and corrections; v4: fixed factor of 2 in eq. (25); v5: fixed minor error in eq. (55)

Nucl.Phys. B544 (1999) 432-447

10.1016/S0550-3213(99)00027-9

MIT-CTP #2775

hep-th

null

We consider one-loop quantum corrections to soliton energies and central charges in the supersymmetric $\phi^4$ and sine-Gordon models in 1+1 dimensions. In both models, we unambiguously calculate the correction to the energy in a simple renormalization scheme and obtain $\Delta H = - m/(2\pi)$, in agreement with previous results. Furthermore, we show that there is an identical correction to the central charge, so that the BPS bound remains saturated in the one-loop approximation. We extend these results to arbitrary 1+1 dimensional supersymmetric theories.

[ { "created": "Fri, 21 Aug 1998 21:07:35 GMT", "version": "v1" }, { "created": "Mon, 14 Sep 1998 19:55:01 GMT", "version": "v2" }, { "created": "Thu, 12 Nov 1998 22:16:34 GMT", "version": "v3" }, { "created": "Sat, 19 Feb 2000 16:22:19 GMT", "version": "v4" }, { "created": "Fri, 7 Apr 2000 15:20:01 GMT", "version": "v5" } ]

2009-10-31

[ [ "Graham", "N.", "" ], [ "Jaffe", "R. L.", "" ] ]

We consider one-loop quantum corrections to soliton energies and central charges in the supersymmetric $\phi^4$ and sine-Gordon models in 1+1 dimensions. In both models, we unambiguously calculate the correction to the energy in a simple renormalization scheme and obtain $\Delta H = - m/(2\pi)$, in agreement with previous results. Furthermore, we show that there is an identical correction to the central charge, so that the BPS bound remains saturated in the one-loop approximation. We extend these results to arbitrary 1+1 dimensional supersymmetric theories.

6.367699

5.213648

6.060825

5.429661

5.575629

5.590802

5.582097

5.633134

5.101167

6.132223

5.395609

5.585841

5.973854

5.796344

5.67353

5.664287

5.929837

5.668103

5.577157

5.765706

5.74877

1411.5721

Charles Strickland-Constable

Andr\'e Coimbra, Charles Strickland-Constable and Daniel Waldram

Supersymmetric Backgrounds and Generalised Special Holonomy

33 pages

null

10.1088/0264-9381/33/12/125026

UCB-PTH-14/39, Imperial/TP/14/DW/04, ITP-UH-20/14

hep-th math.DG

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

We define intrinsic torsion in generalised geometry and use it to introduce a new notion of generalised special holonomy. We then consider generic warped supersymmetric flux compactifications of M theory and Type II of the form $\mathbb{R}^{D-1,1}\times M$. Using the language of $E_{d(d)}\times\mathbb{R}^+$ generalised geometry, we show that, for $D\geq 4$, preserving minimal supersymmetry is equivalent to the manifold $M$ having generalised special holonomy and list the relevant holonomy groups. We conjecture that this result extends to backgrounds preserving any number of supersymmetries. As a prime example, we consider $\mathcal{N}=1$ in $D=4$. The corresponding generalised special holonomy group is $SU(7)$, giving the natural M theory extension to the notion of a $G_2$ manifold, and, for Type II backgrounds, reformulating the pure spinor $SU(3)\times SU(3)$ conditions as an integrable structure.

[ { "created": "Thu, 20 Nov 2014 23:20:36 GMT", "version": "v1" } ]

2016-07-07

[ [ "Coimbra", "André", "" ], [ "Strickland-Constable", "Charles", "" ], [ "Waldram", "Daniel", "" ] ]

We define intrinsic torsion in generalised geometry and use it to introduce a new notion of generalised special holonomy. We then consider generic warped supersymmetric flux compactifications of M theory and Type II of the form $\mathbb{R}^{D-1,1}\times M$. Using the language of $E_{d(d)}\times\mathbb{R}^+$ generalised geometry, we show that, for $D\geq 4$, preserving minimal supersymmetry is equivalent to the manifold $M$ having generalised special holonomy and list the relevant holonomy groups. We conjecture that this result extends to backgrounds preserving any number of supersymmetries. As a prime example, we consider $\mathcal{N}=1$ in $D=4$. The corresponding generalised special holonomy group is $SU(7)$, giving the natural M theory extension to the notion of a $G_2$ manifold, and, for Type II backgrounds, reformulating the pure spinor $SU(3)\times SU(3)$ conditions as an integrable structure.

6.033192

5.967834

7.104239

5.408202

6.108772

6.09676

5.481288

5.220965

5.85969

6.722802

5.401018

5.482326

5.828307

5.46814

5.507026

5.708121

5.59106

5.485904

5.521242

5.979724

5.613594

hep-th/9209080

null

Alexander Turbiner

Lie-algebraic approach to the theory of polynomial solutions. II. Differential equations in one real and one Grassmann variables and 2x2 matrix differential equations

24pp

null

ETH-TH/92-21, CPT-92/P.2708

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

null

A classification theorem for linear differential equations in two variables (one real and one Grassmann) having polynomial solutions(the generalized Bochner problem) is given. The main result is based on the consideration of the eigenvalue problem for a polynomial element of the universal enveloping algebra of the algebra $osp(2,2)$ in the "projectivized" representation (in differential operators of the first order) possessing an invariant subspace. A classification of 2 x 2 matrix differential equations in one real variable possessing polynomial solutions is described. Connection to the recently-discovered quasi-exactly-solvable problems is discussed.

[ { "created": "Tue, 22 Sep 1992 14:46:42 GMT", "version": "v1" } ]

2008-02-03

[ [ "Turbiner", "Alexander", "" ] ]

A classification theorem for linear differential equations in two variables (one real and one Grassmann) having polynomial solutions(the generalized Bochner problem) is given. The main result is based on the consideration of the eigenvalue problem for a polynomial element of the universal enveloping algebra of the algebra $osp(2,2)$ in the "projectivized" representation (in differential operators of the first order) possessing an invariant subspace. A classification of 2 x 2 matrix differential equations in one real variable possessing polynomial solutions is described. Connection to the recently-discovered quasi-exactly-solvable problems is discussed.

13.298224

11.637162

14.739975

11.519743

11.679061

12.643573

11.670815

11.401184

11.262579

15.136456

11.903354

11.610873

12.483001

11.548017

11.456018

11.491521

11.24426

11.512519

11.824787

12.367822

11.74545

0905.3770

Evgeny Ivanov

E. Ivanov, J. Niederle

Biharmonic Superspace for N=4 Mechanics

1 + 37 pages, typos corrected, references updated; version published in PRD

Phys.Rev.D80:065027,2009

10.1103/PhysRevD.80.065027

null

hep-th

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

We develop a new superfield approach to N=4 supersymmetric mechanics based on the concept of biharmonic superspace (bi-HSS). It is an extension of the N=4,d=1 superspace by two sets of harmonic variables associated with the two SU(2) factors of the R-symmetry group SO(4) of the N=4, d=1 super Poincar\'e algebra. There are three analytic subspaces in it: two of the Grassmann dimension 2 and one of the dimension 3. They are closed under the infinite-dimensional "large" N=4 superconformal group, as well as under the finite-dimensional superconformal group D(2,1;\alpha). The main advantage of the bi-HSS approach is that it gives an opportunity to treat N=4 supermultiplets with finite numbers of off-shell components on equal footing with their ``mirror'' counterparts. We show how such multiplets and their superconformal properties are described in this approach. We also define nonpropagating gauge multiplets which can be used to gauge various isometries of the bi-HSS actions. We present an example of nontrivial N=4 mechanics model with a seven-dimensional target manifold obtained by gauging an U(1) isometry in a sum of the free actions of the multiplet (4,4,0) and its mirror counterpart.

[ { "created": "Sun, 24 May 2009 21:07:18 GMT", "version": "v1" }, { "created": "Sun, 27 Sep 2009 14:29:49 GMT", "version": "v2" } ]

2009-11-06

[ [ "Ivanov", "E.", "" ], [ "Niederle", "J.", "" ] ]

We develop a new superfield approach to N=4 supersymmetric mechanics based on the concept of biharmonic superspace (bi-HSS). It is an extension of the N=4,d=1 superspace by two sets of harmonic variables associated with the two SU(2) factors of the R-symmetry group SO(4) of the N=4, d=1 super Poincar\'e algebra. There are three analytic subspaces in it: two of the Grassmann dimension 2 and one of the dimension 3. They are closed under the infinite-dimensional "large" N=4 superconformal group, as well as under the finite-dimensional superconformal group D(2,1;\alpha). The main advantage of the bi-HSS approach is that it gives an opportunity to treat N=4 supermultiplets with finite numbers of off-shell components on equal footing with their ``mirror'' counterparts. We show how such multiplets and their superconformal properties are described in this approach. We also define nonpropagating gauge multiplets which can be used to gauge various isometries of the bi-HSS actions. We present an example of nontrivial N=4 mechanics model with a seven-dimensional target manifold obtained by gauging an U(1) isometry in a sum of the free actions of the multiplet (4,4,0) and its mirror counterpart.

6.265071

6.078457

7.105313

5.702807

6.509118

6.404144

6.224158

6.073318

5.841778

8.420481

5.849046

5.822134

6.218873

5.885384

6.379223

6.019925

5.953465

6.017198

5.88626

6.586918

5.741142

0807.1927

Jinn-Ouk Gong

Heng-Yu Chen, Jinn-Ouk Gong, and Gary Shiu

Systematics of multi-field effects at the end of warped brane inflation

(v1) 42 pages, 2 figures; (v2) typos corrected, more clarifications added, 1 reference added, to appear in JHEP; (v3) matched with JHEP version

JHEP0809:011,2008

10.1088/1126-6708/2008/09/011

MAD-TH-08-10, CERN-PH-TH/2008-146

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

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

We investigate in the context of brane inflation the possibility of additional light scalar fields generating significant power spectrum and non-Gaussianities at the end of inflation affecting the CMB scale observations. We consider the specific mechanism outlined by Lyth and describe the necessary criteria for it to be potentially important in a warped throat. We also discuss different mechanisms for uplifting the vacuum energy which can lead to different dominant contributions of the inflaton potential near the end of inflation. We then apply such criteria to one of the most detailed brane inflation models to date, and show that inflation can persist towards the tip of the throat, however for the specific stable inflationary trajectory, the light residual isometry direction becomes degenerate. We also estimate the effects for other inflationary trajectories with non-degenerate residual isometries.

[ { "created": "Fri, 11 Jul 2008 20:02:03 GMT", "version": "v1" }, { "created": "Sat, 23 Aug 2008 07:04:38 GMT", "version": "v2" }, { "created": "Mon, 13 Oct 2008 12:38:59 GMT", "version": "v3" } ]

2008-11-26

[ [ "Chen", "Heng-Yu", "" ], [ "Gong", "Jinn-Ouk", "" ], [ "Shiu", "Gary", "" ] ]

We investigate in the context of brane inflation the possibility of additional light scalar fields generating significant power spectrum and non-Gaussianities at the end of inflation affecting the CMB scale observations. We consider the specific mechanism outlined by Lyth and describe the necessary criteria for it to be potentially important in a warped throat. We also discuss different mechanisms for uplifting the vacuum energy which can lead to different dominant contributions of the inflaton potential near the end of inflation. We then apply such criteria to one of the most detailed brane inflation models to date, and show that inflation can persist towards the tip of the throat, however for the specific stable inflationary trajectory, the light residual isometry direction becomes degenerate. We also estimate the effects for other inflationary trajectories with non-degenerate residual isometries.

17.746651

17.073149

18.995207

16.830967

17.943964

18.526403

17.97946

16.672306

16.618948

18.17569

17.233521

15.618145

17.367796

16.032003

16.363855

15.971895

16.190586

16.175425

16.173229

16.986662

15.990086

hep-th/0002094

null

G. Veneziano

String Cosmology: The Pre-Big Bang Scenario

46 pages, 8 Figures, Latex, Lectures delivered in Les Houches, July 1999

null

10.1007/3-540-45334-2_12

CERN-TH/2000-042

hep-th

null

A review is attempted of physical motivations, theoretical and phenomenological aspects, as well as outstanding problems, of the pre-big bang scenario in string cosmology.

[ { "created": "Fri, 11 Feb 2000 13:52:16 GMT", "version": "v1" } ]

2015-06-25

[ [ "Veneziano", "G.", "" ] ]

A review is attempted of physical motivations, theoretical and phenomenological aspects, as well as outstanding problems, of the pre-big bang scenario in string cosmology.

17.318655

10.021524

11.612206

10.21901

9.971428

8.211529

9.737652

9.471369

9.609574

12.394371

9.73275

10.470713

10.849221

10.940273

10.938646

10.998086

11.578662

11.045839

10.321938

11.105264

11.672244

hep-th/0005123

Shoichi Kawamoto

Shoichi Kawamoto, Naoki Sasakura (Kyoto Univ.)

Open membranes in a constant C-field background and noncommutative boundary strings

23 pages, 1 eps figure, LaTeX2e; v4. a comment added, final version

JHEP 0007 (2000) 014

10.1088/1126-6708/2000/07/014

KUNS-1664

hep-th

null

We investigate the dynamics of open membrane boundaries in a constant C-field background. We follow the analysis for open strings in a B-field background, and take some approximations. We find that open membrane boundaries do show noncommutativity in this case by explicit calculations. Membrane boundaries are one dimensional strings, so we face a new type of noncommutativity, that is, noncommutative strings.

[ { "created": "Sat, 13 May 2000 02:46:10 GMT", "version": "v1" }, { "created": "Thu, 18 May 2000 05:34:08 GMT", "version": "v2" }, { "created": "Tue, 23 May 2000 07:55:12 GMT", "version": "v3" }, { "created": "Wed, 19 Jul 2000 03:57:49 GMT", "version": "v4" } ]

2009-10-31

[ [ "Kawamoto", "Shoichi", "", "Kyoto Univ." ], [ "Sasakura", "Naoki", "", "Kyoto Univ." ] ]

We investigate the dynamics of open membrane boundaries in a constant C-field background. We follow the analysis for open strings in a B-field background, and take some approximations. We find that open membrane boundaries do show noncommutativity in this case by explicit calculations. Membrane boundaries are one dimensional strings, so we face a new type of noncommutativity, that is, noncommutative strings.

15.805513

10.236002

13.710461

10.094605

9.888401

10.787479

11.101512

10.939413

10.711854

14.72478

10.252913

11.495075

13.07372

11.935279

11.318011

11.639458

11.513554

11.832473

11.085183

13.294205

11.356089

0805.2321

Silvana Perez

Soraya G. Maciel and Silvana Perez

Exact Effective action for (1+1)-dimensional fermions in an Abelian background at finite temperature and chemical potential

null

Phys.Rev.D78:065005,2008

10.1103/PhysRevD.78.065005

null

hep-th

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

In this paper we study the effects of a nonzero chemical potential in the effective action for massless fermions in (1+1) dimensions in an abelian gauge field background at finite temperature. We calculate the n-point function and show that the structure of the amplitudes corresponds to a generalization of the structure noted earlier in a calculation without a chemical potential (the associated integrals carry the dependence on the chemical potential). Our calculation shows that the chiral anomaly is unaffected by the presence of a chemical potential at finite temperature. However, unlike the earlier calculation (in the absence of a chemical potential) odd point functions do not vanish. We trace this to the fact that in the presence of a chemical potential the generalized charge conjugation symmetry of the theory allows for such amplitudes. In fact, we find that all the even point functions are even functions of the chemical potential while the odd point functions are odd functions of it which is consistent with this generalized charge conjugation symmetry. We show that the origin of the structure of the amplitudes is best seen from a formulation of the theory in terms of left and right handed spinors. The calculations are also much simpler in this formulation and it clarifies many other aspects of the theory.

[ { "created": "Thu, 15 May 2008 14:31:11 GMT", "version": "v1" } ]

2009-02-20

[ [ "Maciel", "Soraya G.", "" ], [ "Perez", "Silvana", "" ] ]

In this paper we study the effects of a nonzero chemical potential in the effective action for massless fermions in (1+1) dimensions in an abelian gauge field background at finite temperature. We calculate the n-point function and show that the structure of the amplitudes corresponds to a generalization of the structure noted earlier in a calculation without a chemical potential (the associated integrals carry the dependence on the chemical potential). Our calculation shows that the chiral anomaly is unaffected by the presence of a chemical potential at finite temperature. However, unlike the earlier calculation (in the absence of a chemical potential) odd point functions do not vanish. We trace this to the fact that in the presence of a chemical potential the generalized charge conjugation symmetry of the theory allows for such amplitudes. In fact, we find that all the even point functions are even functions of the chemical potential while the odd point functions are odd functions of it which is consistent with this generalized charge conjugation symmetry. We show that the origin of the structure of the amplitudes is best seen from a formulation of the theory in terms of left and right handed spinors. The calculations are also much simpler in this formulation and it clarifies many other aspects of the theory.

6.336409

6.000926

6.23956

5.731776

5.765944

6.294695

5.689565

5.856422

5.798472

6.36571

5.950207

6.100669

6.126055

6.150245

6.084857

6.213698

5.951647

6.057224

6.027143

6.309376

6.060366

hep-th/9706119

Bernard Knaepen

Marc Henneaux, Bernard Knaepen

All consistent interactions for exterior form gauge fields

Typos and a minor mistake corrected (below equation (16))

Phys.Rev.D56:6076-6080,1997

10.1103/PhysRevD.56.R6076

ULB-TH-97/12

hep-th

null

We give the complete list of all first-order consistent interaction vertices for a set of exterior form gauge fields of form degree >1, described in the free limit by the standard Maxwell-like action. A special attention is paid to the interactions that deform the gauge transformations. These are shown to be necessarily of the Noether form "conserved antisymmetric tensor" times "p-form potential" and exist only in particular spacetime dimensions. Conditions for consistency to all orders in the coupling constant are given. For illustrative purposes, the analysis is carried out explicitly for a system of forms with two different degrees p and q (1<p<q<n).

[ { "created": "Mon, 16 Jun 1997 12:21:51 GMT", "version": "v1" }, { "created": "Mon, 8 Sep 1997 15:35:03 GMT", "version": "v2" }, { "created": "Tue, 23 Jun 1998 09:41:17 GMT", "version": "v3" } ]

2009-12-30

[ [ "Henneaux", "Marc", "" ], [ "Knaepen", "Bernard", "" ] ]

We give the complete list of all first-order consistent interaction vertices for a set of exterior form gauge fields of form degree >1, described in the free limit by the standard Maxwell-like action. A special attention is paid to the interactions that deform the gauge transformations. These are shown to be necessarily of the Noether form "conserved antisymmetric tensor" times "p-form potential" and exist only in particular spacetime dimensions. Conditions for consistency to all orders in the coupling constant are given. For illustrative purposes, the analysis is carried out explicitly for a system of forms with two different degrees p and q (1<p<q<n).

17.153515

13.037942

15.674899

13.587685

13.410822

13.584911

13.444333

13.154146

13.658659

18.689899

13.310312

13.009502

14.145356

13.046658

12.973764

13.05292

13.385934

13.228772

13.393049

14.524341

13.298215

0901.0113

Massimo Bianchi

Pascal Anastasopoulos, Massimo Bianchi, Jose F. Morales and Gianfranco Pradisi

(Unoriented) T-folds with few T's

26 pages, minor corrections, references added

JHEP 0906:032,2009

10.1088/1126-6708/2009/06/032

ROM2F/2008/26, ESI-09-2106

hep-th

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

We use the combined action of Z_2-chiral reflections (T-dualities) and shifts to build N=1,2 supersymmetric four-dimensional string compactifications with few moduli. In particular, we consider Z_2^4 asymmetric orbifolds of Type IIB on the maximal torus of SO(12) that mimic N=2 Calabi-Yau compactifications with small "effective" Hodge numbers starting from (h_{11}, h_{21})=(1,1). We analyze possible unoriented projections, providing Type I examples with or without open strings. N=1 oriented asymmetric shift-orbifolds of Type IIB with few chiral multiplets are also presented.

[ { "created": "Wed, 31 Dec 2008 16:44:17 GMT", "version": "v1" }, { "created": "Tue, 10 Mar 2009 11:32:03 GMT", "version": "v2" } ]

2009-06-19

[ [ "Anastasopoulos", "Pascal", "" ], [ "Bianchi", "Massimo", "" ], [ "Morales", "Jose F.", "" ], [ "Pradisi", "Gianfranco", "" ] ]

We use the combined action of Z_2-chiral reflections (T-dualities) and shifts to build N=1,2 supersymmetric four-dimensional string compactifications with few moduli. In particular, we consider Z_2^4 asymmetric orbifolds of Type IIB on the maximal torus of SO(12) that mimic N=2 Calabi-Yau compactifications with small "effective" Hodge numbers starting from (h_{11}, h_{21})=(1,1). We analyze possible unoriented projections, providing Type I examples with or without open strings. N=1 oriented asymmetric shift-orbifolds of Type IIB with few chiral multiplets are also presented.

12.895346

10.334429

14.540763

10.713723

11.229446

10.441766

10.658296

11.029708

10.652851

14.77424

10.569936

11.406468

12.122544

11.254758

11.325362

11.445691

11.51351

10.992286

11.074725

12.17333

11.347262

2206.14691

Howard Georgi

Mass Perturbation Theory in the 2-Flavor Schwinger Model with Opposite Masses

20 pages, 0 figures - extensively revised with a new section on higher correlators (confusing statement after eq (21) clarified in the last revision - no other changes)-typos corrected in eqs (44) and (66) - reference [12] added in revision before publication - extensive revision of sections 1-3 to make the paper easier to read

null

hep-th hep-ph

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

I discuss the 2-flavor Schwinger model with $\theta=0$ and small equal and opposite fermion masses (or $\theta=\pi$ with equal masses). The massless model has an unparticle sector with unbroken conformal symmetry. I argue that this special mass term modifies the conformal sector without breaking the conformal symmetry. I show in detail how mass-perturbation-theory works for correlators of flavor-diagonal fermion scalar bilinears. The result provides quantitative evidence that the theory has no mass gap for small non-zero fermion masses. The massive fermions are bound into conformally invariant unparticle stuff. I show how the long-distance conformal symmetry is maintained when small fermion masses are turned on and calculate the relevant scaling dimensions for small mass. I calculate the corrections to the 2- and 4-point functions of the fermion-bilinear scalars to leading order in perturbation theory in the fermion mass and describe a straightforward procedure to extend the calculation to all higher scalar correlators. I hope that this model as a useful and non-trivial example of unparticle physics, a sector with unbroken conformal symmetry coupled to interacting massive particles, in which we can analyze the particle physics in a consistent approximation.

[ { "created": "Wed, 29 Jun 2022 14:45:48 GMT", "version": "v1" }, { "created": "Thu, 21 Jul 2022 16:21:02 GMT", "version": "v2" }, { "created": "Wed, 3 Aug 2022 17:30:12 GMT", "version": "v3" }, { "created": "Fri, 12 Aug 2022 20:58:54 GMT", "version": "v4" }, { "created": "Tue, 16 Aug 2022 19:36:00 GMT", "version": "v5" }, { "created": "Fri, 2 Sep 2022 12:25:15 GMT", "version": "v6" }, { "created": "Sun, 18 Sep 2022 22:09:16 GMT", "version": "v7" } ]

2022-09-20

[ [ "Georgi", "Howard", "" ] ]

I discuss the 2-flavor Schwinger model with $\theta=0$ and small equal and opposite fermion masses (or $\theta=\pi$ with equal masses). The massless model has an unparticle sector with unbroken conformal symmetry. I argue that this special mass term modifies the conformal sector without breaking the conformal symmetry. I show in detail how mass-perturbation-theory works for correlators of flavor-diagonal fermion scalar bilinears. The result provides quantitative evidence that the theory has no mass gap for small non-zero fermion masses. The massive fermions are bound into conformally invariant unparticle stuff. I show how the long-distance conformal symmetry is maintained when small fermion masses are turned on and calculate the relevant scaling dimensions for small mass. I calculate the corrections to the 2- and 4-point functions of the fermion-bilinear scalars to leading order in perturbation theory in the fermion mass and describe a straightforward procedure to extend the calculation to all higher scalar correlators. I hope that this model as a useful and non-trivial example of unparticle physics, a sector with unbroken conformal symmetry coupled to interacting massive particles, in which we can analyze the particle physics in a consistent approximation.

11.424036

11.855497

11.892051

11.114497

11.30234

12.149448

11.451747

11.79686

11.358458

12.006927

11.022402

11.558197

11.068828

10.98759

11.372199

11.163826

11.406281

11.3213

11.08321

11.211873

10.992186

0902.0629

Dinesh Singh

Dinesh Singh, Nader Mobed

Breakdown of Casimir Invariance in Curved Space-Time

18 pages, 1 figure; accepted for publication in Annalen der Physik

Annalen Phys.522:555-573,2010

10.1002/andp.201010456

null

hep-th gr-qc hep-ph

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

It is shown that the commonly accepted definition for the Casimir scalar operators of the Poincare group does not satisfy the properties of Casimir invariance when applied to the non-inertial motion of elementary particles while in the presence of external gravitational and electromagnetic fields, where general curvilinear co-ordinates are used to describe the momentum generators within a Fermi normal co-ordinate framework. Specific expressions of the Casimir scalar properties are presented for spin-1/2 to spin-2 particles inclusive. While the Casimir scalar for linear momentum remains a Lorentz invariant in the absence of external fields, this is no longer true for the spin Casimir scalar. Potential implications are considered for the propagation of photons, gravitons, and gravitinos as described by the spin-3/2 Rarita-Schwinger vector-spinor field. In particular, it is shown that non-inertial motion introduces a frame-based effective mass to the spin interaction, with interesting physical consequences that are explored in detail.

[ { "created": "Tue, 3 Feb 2009 22:02:10 GMT", "version": "v1" }, { "created": "Wed, 11 Mar 2009 15:53:27 GMT", "version": "v2" }, { "created": "Sat, 22 May 2010 14:11:56 GMT", "version": "v3" } ]

2010-11-24

[ [ "Singh", "Dinesh", "" ], [ "Mobed", "Nader", "" ] ]

It is shown that the commonly accepted definition for the Casimir scalar operators of the Poincare group does not satisfy the properties of Casimir invariance when applied to the non-inertial motion of elementary particles while in the presence of external gravitational and electromagnetic fields, where general curvilinear co-ordinates are used to describe the momentum generators within a Fermi normal co-ordinate framework. Specific expressions of the Casimir scalar properties are presented for spin-1/2 to spin-2 particles inclusive. While the Casimir scalar for linear momentum remains a Lorentz invariant in the absence of external fields, this is no longer true for the spin Casimir scalar. Potential implications are considered for the propagation of photons, gravitons, and gravitinos as described by the spin-3/2 Rarita-Schwinger vector-spinor field. In particular, it is shown that non-inertial motion introduces a frame-based effective mass to the spin interaction, with interesting physical consequences that are explored in detail.

9.8332

10.625008

10.286313

10.097285

10.3259

10.243511

11.109715

10.00506

10.495781

11.074018

9.88938

9.999457

9.576274

9.756024

9.755494

9.670021

9.723892

9.799911

9.832659

9.575837

9.639384

hep-th/0305006

Shigeki Sugimoto

T. Asakawa, S. Sugimoto, S. Terashima

Exact description of D-branes in K-matrix theory

19 pages, Talk given by S.S. at the 17th Nishinomiya-Yukawa Memorial Symposium, Nishinomiya, November, 2003

Prog.Theor.Phys.Suppl. 152 (2004) 93-107

null

YITP-03-21, ITFA-2003-22

hep-th

null

We summarize how to describe D-branes in a matrix theory based on unstable D-instantons, which we call K-matrix theory, and explicity show that D-branes can be constructed as bound states of infinitly many unstable D-instantons. We examine the fluctuations around Dp-brane solutions in the matrix theory and show that they correctly reproduce fields on the Dp-brane world-volume. Plugging them into the action of the matrix theory, we precisely obtain the Dp-brane action as the effective action of the fluctuations.

[ { "created": "Thu, 1 May 2003 04:58:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "Asakawa", "T.", "" ], [ "Sugimoto", "S.", "" ], [ "Terashima", "S.", "" ] ]

We summarize how to describe D-branes in a matrix theory based on unstable D-instantons, which we call K-matrix theory, and explicity show that D-branes can be constructed as bound states of infinitly many unstable D-instantons. We examine the fluctuations around Dp-brane solutions in the matrix theory and show that they correctly reproduce fields on the Dp-brane world-volume. Plugging them into the action of the matrix theory, we precisely obtain the Dp-brane action as the effective action of the fluctuations.

8.486269

7.671887

8.344979

7.084874

7.468635

7.382568

8.560234

7.287198

7.656934

9.459996

7.227261

7.546169

8.483706

7.772699

7.588613

7.62409

7.758565

7.635578

7.950378

8.510649

7.444082

hep-th/0502002

DaeKil Park

Eylee Jung and D. K. Park

Absorption and Emission Spectra of an higher-dimensional Reissner-Nordstr\"{o}m black hole

43 pages, 22 eps figures included V2: comment on superradiance and several references are added

Nucl.Phys. B717 (2005) 272-303

10.1016/j.nuclphysb.2005.03.037

null

hep-th gr-qc

null

The absorption and emission problems of the brane-localized and bulk scalars are examined when the spacetime is a $(4+n)$-dimensional Reissner-Nordstr\"{o}m black hole. Making use of an appropriate analytic continuation, we compute the absorption and emission spectra in the full range of particle's energy. For the case of the brane-localized scalar the presence of the nonzero inner horizon parameter $r_-$ generally enhances the absorptivity and suppresses the emission rate compared to the case of the Schwarzschild phase. The low-energy absorption cross section exactly equals to $4\pi r_+^2$, two-dimensional horizon area. The effect of the extra dimensions generally suppresses the absorptivity and enhances the emission rate, which results in the disappearance of the oscillatory pattern in the total absorption cross section when $n$ is large. For the case of the bulk scalar the effect of $r_-$ on the spectra is similar to that in the case of the brane-localized scalar. The low-energy absorption cross section equals to the area of the horizon hypersurface. In the presence of the extra dimensions the total absorption cross section tends to be inclined with a positive slope. It turns out that the ratio of the {\it missing} energy over the {\it visible} one decreases with increase of $r_-$.

[ { "created": "Mon, 31 Jan 2005 21:00:20 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2005 07:48:20 GMT", "version": "v2" } ]

2009-11-11

[ [ "Jung", "Eylee", "" ], [ "Park", "D. K.", "" ] ]

The absorption and emission problems of the brane-localized and bulk scalars are examined when the spacetime is a $(4+n)$-dimensional Reissner-Nordstr\"{o}m black hole. Making use of an appropriate analytic continuation, we compute the absorption and emission spectra in the full range of particle's energy. For the case of the brane-localized scalar the presence of the nonzero inner horizon parameter $r_-$ generally enhances the absorptivity and suppresses the emission rate compared to the case of the Schwarzschild phase. The low-energy absorption cross section exactly equals to $4\pi r_+^2$, two-dimensional horizon area. The effect of the extra dimensions generally suppresses the absorptivity and enhances the emission rate, which results in the disappearance of the oscillatory pattern in the total absorption cross section when $n$ is large. For the case of the bulk scalar the effect of $r_-$ on the spectra is similar to that in the case of the brane-localized scalar. The low-energy absorption cross section equals to the area of the horizon hypersurface. In the presence of the extra dimensions the total absorption cross section tends to be inclined with a positive slope. It turns out that the ratio of the {\it missing} energy over the {\it visible} one decreases with increase of $r_-$.

6.226807

6.058692

6.014761

5.928149

6.506762

6.113156

6.267349

6.064546

5.996801

6.994226

5.948425

6.058136

6.022813

5.972609

5.931394

6.012518

6.061558

6.090007

6.105309

6.075439

6.048653

2106.09730

Jun Nian

Marina David, Alfredo Gonz\'alez Lezcano, Jun Nian, Leopoldo A. Pando Zayas

Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS$_5$

31 pages, no figures; v2: published version in JHEP, more details added in Sec. 2.2, 2.4, and 2.5, the main results updated

JHEP 04(2022)160

10.1007/JHEP04(2022)160

LCTP-21-14

hep-th gr-qc

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

We investigate logarithmic corrections to the entropy of supersymmetric, rotating, asymptotically AdS$_5$ black holes and black strings. Within the framework of the AdS/CFT correspondence, the entropy of these black objects is determined, on the field theory side, by the superconformal index and the refined topologically twisted index of $\mathcal{N}=4$ supersymmetric Yang-Mills theory, respectively. We read off the logarithmic correction from those field-theoretic partition functions. On the gravity side, we take the near-horizon limit and apply the Kerr/CFT correspondence whose associated charged Cardy formula describes the degeneracy of states at subleading order and determines the logarithmic correction to the entropy. We find perfect agreement between these two approaches. Our results provide a window into precision microstate counting and demonstrate the efficacy of low-energy, symmetry-based approaches such as the Kerr/CFT correspondence for asymptotically AdS black objects under certain conditions.

[ { "created": "Thu, 17 Jun 2021 18:00:01 GMT", "version": "v1" }, { "created": "Thu, 7 Apr 2022 08:10:22 GMT", "version": "v2" } ]

2022-05-02

[ [ "David", "Marina", "" ], [ "Lezcano", "Alfredo González", "" ], [ "Nian", "Jun", "" ], [ "Zayas", "Leopoldo A. Pando", "" ] ]

We investigate logarithmic corrections to the entropy of supersymmetric, rotating, asymptotically AdS$_5$ black holes and black strings. Within the framework of the AdS/CFT correspondence, the entropy of these black objects is determined, on the field theory side, by the superconformal index and the refined topologically twisted index of $\mathcal{N}=4$ supersymmetric Yang-Mills theory, respectively. We read off the logarithmic correction from those field-theoretic partition functions. On the gravity side, we take the near-horizon limit and apply the Kerr/CFT correspondence whose associated charged Cardy formula describes the degeneracy of states at subleading order and determines the logarithmic correction to the entropy. We find perfect agreement between these two approaches. Our results provide a window into precision microstate counting and demonstrate the efficacy of low-energy, symmetry-based approaches such as the Kerr/CFT correspondence for asymptotically AdS black objects under certain conditions.

5.896872

5.727095

6.456244

5.359844

5.676733

5.510158

5.736403

5.489108

5.515224

7.171278

5.755488

5.682756

5.784849

5.52972

5.621196

5.640151

5.684872

5.553347

5.544462

5.970465

5.583439

1503.08722

H. Gohar

Mariusz P. Dabrowski, H. Gohar, Vincenzo Salzano

Varying constants entropic--$\Lambda$CDM cosmology

Matched with published version. some changes in Section VII, 15 pages

Entropy 18(2), 60 (2016)

10.3390/e18020060

null

hep-th astro-ph.CO gr-qc

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

We formulate the basic framework of thermodynamical entropic force cosmology which allows variation of the gravitational constant $G$ and the speed of light $c$. Three different approaches to the formulation of the field equations are presented. Some cosmological solutions for each framework are given and one of them is tested against combined observational data (supernovae, BAO, and CMB). From the fit of the data it is found that the Hawking temperature numerical coefficient $\gamma$ is two to four orders of magnitude less than usually assumed on the geometrical ground theoretical value of $O(1)$ and that it is also compatible with zero. Besides, in the entropic scenario we observationally test that the fit of the data is allowed for the speed of light $c$ growing and the gravitational constant $G$ diminishing during the evolution of the universe. We also obtain a bound on the variation of $c$ to be $\Delta c/c \propto 10^{-5} >0$ which is at least one order of magnitude weaker than the quasar spectra observational bound.

[ { "created": "Mon, 30 Mar 2015 16:01:30 GMT", "version": "v1" }, { "created": "Tue, 20 Oct 2015 18:45:11 GMT", "version": "v2" }, { "created": "Wed, 9 Mar 2016 17:51:35 GMT", "version": "v3" } ]

2016-03-10

[ [ "Dabrowski", "Mariusz P.", "" ], [ "Gohar", "H.", "" ], [ "Salzano", "Vincenzo", "" ] ]

We formulate the basic framework of thermodynamical entropic force cosmology which allows variation of the gravitational constant $G$ and the speed of light $c$. Three different approaches to the formulation of the field equations are presented. Some cosmological solutions for each framework are given and one of them is tested against combined observational data (supernovae, BAO, and CMB). From the fit of the data it is found that the Hawking temperature numerical coefficient $\gamma$ is two to four orders of magnitude less than usually assumed on the geometrical ground theoretical value of $O(1)$ and that it is also compatible with zero. Besides, in the entropic scenario we observationally test that the fit of the data is allowed for the speed of light $c$ growing and the gravitational constant $G$ diminishing during the evolution of the universe. We also obtain a bound on the variation of $c$ to be $\Delta c/c \propto 10^{-5} >0$ which is at least one order of magnitude weaker than the quasar spectra observational bound.

9.84427

10.799246

9.732123

9.539557

9.910073

10.005626

11.400302

10.115706

10.115159

10.875435

10.084625

10.005578

9.909411

10.008156

10.055095

10.111704

9.752615

9.73665

9.727124

9.952846

9.719192

hep-th/0305239

B. Kyae

Jihn E. Kim (SNU), Bumseok Kyae (Bartol), Qaisar Shafi (Bartol)

Brane gravity, massless bulk scalar and self-tuning of the cosmological constant

1+15 pages, no figure, Version to appear in PRD

Phys.Rev.D70:064039,2004

10.1103/PhysRevD.70.064039

BA-03-06, SNUTP 03-011

hep-th hep-ph

null

We show that a self-tuning mechanism of the cosmological constant could work in 5D non-compact space-time with a $Z_2$ symmetry in the presence of a massless scalar field. The standard model matter fields live only on the 4D brane. The change of vacuum energy on the brane (brane cosmological constant) by, for instance, electroweak and QCD phase transitions, just gives rise to dynamical shifts of the profiles of the background metric and the scalar field in the extra dimension, keeping 4D space-time flat without any fine-tuning. To avoid naked singularities in the bulk, the brane cosmological constant should be negative. We introduce an additional brane-localized 4D Einstein-Hilbert term so as to provide the observed 4D gravity with the non-compact extra dimension. With a general form of brane-localized gravity term allowed by the symmetries, the low energy Einstein gravity is successfully reproduced on the brane at long distances. We show this phenomenon explicitly for the case of vanishing bulk cosmological constant.

[ { "created": "Tue, 27 May 2003 19:01:51 GMT", "version": "v1" }, { "created": "Sat, 24 Jan 2004 20:58:44 GMT", "version": "v2" }, { "created": "Mon, 26 Jul 2004 15:48:35 GMT", "version": "v3" } ]

2011-05-12

[ [ "Kim", "Jihn E.", "", "SNU" ], [ "Kyae", "Bumseok", "", "Bartol" ], [ "Shafi", "Qaisar", "", "Bartol" ] ]

We show that a self-tuning mechanism of the cosmological constant could work in 5D non-compact space-time with a $Z_2$ symmetry in the presence of a massless scalar field. The standard model matter fields live only on the 4D brane. The change of vacuum energy on the brane (brane cosmological constant) by, for instance, electroweak and QCD phase transitions, just gives rise to dynamical shifts of the profiles of the background metric and the scalar field in the extra dimension, keeping 4D space-time flat without any fine-tuning. To avoid naked singularities in the bulk, the brane cosmological constant should be negative. We introduce an additional brane-localized 4D Einstein-Hilbert term so as to provide the observed 4D gravity with the non-compact extra dimension. With a general form of brane-localized gravity term allowed by the symmetries, the low energy Einstein gravity is successfully reproduced on the brane at long distances. We show this phenomenon explicitly for the case of vanishing bulk cosmological constant.

7.618143

6.634877

6.374337

6.382995

6.791537

6.91562

7.031894

6.228706

6.835547

7.130867

6.68738

6.736474

6.574292

6.607759

6.818694

6.703288

6.608738

6.615392

6.766426

6.943905

6.780118

1910.10738

Sabyasachi Chakraborty

Sabyasachi Chakraborty, Takemichi Okui, Arash Yunesi

Topics in gravity SCET: the diff Wilson lines and reparametrization invariance

Minor additions included, accepted for publication in Phys. ReV. D

Phys. Rev. D 101, 066019 (2020)

10.1103/PhysRevD.101.066019

null

hep-th gr-qc hep-ph

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

Two topics in soft collinear effective theory (SCET) for gravitational interactions are explored. First, the collinear Wilson lines---necessary building blocks for maintaining multiple copies of diffeomorphism invariance in gravity SCET---are extended to all orders in the SCET expansion parameter $\lambda$, where it has only been known to $O(\lambda)$ in the literature. Second, implications of reparametrization invariance (RPI) for the structure of gravity SCET lagrangians are studied. The utility of RPI is illustrated by an explicit example in which $O(\lambda^2)$ hard interactions of a collinear graviton are completely predicted by RPI from its $O(\lambda)$ hard interactions. It is also pointed out that the multiple diffeomorphism invariances and RPI together require certain relations among $O(\lambda)$ terms, thereby reducing the number of $O(\lambda)$ terms that need to be fixed by matching onto the full theory in the first place.

[ { "created": "Wed, 23 Oct 2019 18:00:15 GMT", "version": "v1" }, { "created": "Tue, 25 Feb 2020 19:33:37 GMT", "version": "v2" } ]

2020-04-01

[ [ "Chakraborty", "Sabyasachi", "" ], [ "Okui", "Takemichi", "" ], [ "Yunesi", "Arash", "" ] ]

Two topics in soft collinear effective theory (SCET) for gravitational interactions are explored. First, the collinear Wilson lines---necessary building blocks for maintaining multiple copies of diffeomorphism invariance in gravity SCET---are extended to all orders in the SCET expansion parameter $\lambda$, where it has only been known to $O(\lambda)$ in the literature. Second, implications of reparametrization invariance (RPI) for the structure of gravity SCET lagrangians are studied. The utility of RPI is illustrated by an explicit example in which $O(\lambda^2)$ hard interactions of a collinear graviton are completely predicted by RPI from its $O(\lambda)$ hard interactions. It is also pointed out that the multiple diffeomorphism invariances and RPI together require certain relations among $O(\lambda)$ terms, thereby reducing the number of $O(\lambda)$ terms that need to be fixed by matching onto the full theory in the first place.

7.220545

7.81245

6.918474

6.57439

7.18106

7.650821

8.093666

7.236131

6.645076

7.268916

7.05129

7.091641

6.785059

6.672547

7.067603

6.941268

6.959794

7.011553

6.766404

6.815308

6.835205

hep-th/0207151

Gustavo Dotti

Discrete anomalies and the null cone of SYM theories

8 pages, 3 figures, entirely re-written, one section removed

Phys.Lett.B567:315-321,2003

10.1016/j.physletb.2003.06.029

null

hep-th

null

A stronger version of an anomaly matching theorem (AMT) is proven that allows to anticipate the matching of continuous as well as discrete global anomalies. The AMT shows a connection between anomaly matching and the geometry of the null cone of SYM theories. Discrete symmetries are shown to be broken at the origin of the moduli space in Seiberg-Witten theories.

[ { "created": "Tue, 16 Jul 2002 14:55:00 GMT", "version": "v1" }, { "created": "Tue, 3 Jun 2003 01:23:09 GMT", "version": "v2" } ]

2014-11-18

[ [ "Dotti", "Gustavo", "" ] ]

A stronger version of an anomaly matching theorem (AMT) is proven that allows to anticipate the matching of continuous as well as discrete global anomalies. The AMT shows a connection between anomaly matching and the geometry of the null cone of SYM theories. Discrete symmetries are shown to be broken at the origin of the moduli space in Seiberg-Witten theories.

14.212687

11.637489

13.650697

13.705819

13.96046

13.15822

15.083809

11.953388

12.180964

18.198429

13.443349

12.514713

13.86892

12.549959

12.967508

12.442099

11.979924

12.445807

12.28873

12.975011

12.703464

1912.03205

Ruth Britto

Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, James Matthew

Generalized hypergeometric functions and intersection theory for Feynman integrals

10 pages, talk given at RADCOR 2019, based on arXiv:1910.08358. v2: F3 coaction formula fixed

null

CERN-TH-2019-219, CP3-19-58

hep-th

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

Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions. It is well known that properties of these functions are revealed in the framework of intersection theory. We propose a new application of intersection theory to construct a coaction on generalized hypergeometric functions. When applied to dimensionally regularized Feynman integrals, this coaction reproduces the coaction on multiple polylogarithms order by order in the parameter of dimensional regularization.

[ { "created": "Fri, 6 Dec 2019 16:13:32 GMT", "version": "v1" }, { "created": "Tue, 10 Dec 2019 19:03:21 GMT", "version": "v2" } ]

2019-12-12

[ [ "Abreu", "Samuel", "" ], [ "Britto", "Ruth", "" ], [ "Duhr", "Claude", "" ], [ "Gardi", "Einan", "" ], [ "Matthew", "James", "" ] ]

Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions. It is well known that properties of these functions are revealed in the framework of intersection theory. We propose a new application of intersection theory to construct a coaction on generalized hypergeometric functions. When applied to dimensionally regularized Feynman integrals, this coaction reproduces the coaction on multiple polylogarithms order by order in the parameter of dimensional regularization.

6.413638

5.096581

6.18029

5.154904

5.439721

4.9412

5.115808

4.867961

5.121573

6.348265

5.012393

5.348795

5.533936

5.455942

5.730978

5.470758

5.644273

5.407804

5.477125

5.949584

5.464894

1402.4196

Moshe Moshe

William A. Bardeen and Moshe Moshe

Spontaneous Breaking of Scale Invariance in a d=3 U(N) Model with Chern-Simons Gauge Field

23 pages, 8 figures. several lines changed in the introduction. typos corrected

null

10.1007/JHEP06(2014)113

CERN-PH-TH/2013-299, FERMILAB-PUB-13-552-T

hep-th

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

We study spontaneous breaking of scale invariance in the large N limit of three dimensional $U(N)_\kappa$ Chern-Simons theories coupled to a scalar field in the fundamental representation. When a $\lambda_6(\phi^\dagger\cdot\phi)^3$ self interaction term is added to the action we find a massive phase at a certain critical value for a combination of the $\lambda_6$ and 't Hooft's $\lambda=N/\kappa$ couplings. This model attracted recent attention since at finite $\kappa$ it contains a singlet sector which is conjectured to be dual to Vasiliev's higher spin gravity on $AdS_4$. Our paper concentrates on the massive phase of the 3d boundary theory. We discuss the advantage of introducing masses in the boundary theory through spontaneous breaking of scale invariance.

[ { "created": "Tue, 18 Feb 2014 00:56:51 GMT", "version": "v1" }, { "created": "Thu, 17 Apr 2014 07:20:13 GMT", "version": "v2" }, { "created": "Tue, 29 Apr 2014 02:28:34 GMT", "version": "v3" }, { "created": "Sat, 14 Jun 2014 01:19:29 GMT", "version": "v4" } ]

2015-06-18

[ [ "Bardeen", "William A.", "" ], [ "Moshe", "Moshe", "" ] ]

We study spontaneous breaking of scale invariance in the large N limit of three dimensional $U(N)_\kappa$ Chern-Simons theories coupled to a scalar field in the fundamental representation. When a $\lambda_6(\phi^\dagger\cdot\phi)^3$ self interaction term is added to the action we find a massive phase at a certain critical value for a combination of the $\lambda_6$ and 't Hooft's $\lambda=N/\kappa$ couplings. This model attracted recent attention since at finite $\kappa$ it contains a singlet sector which is conjectured to be dual to Vasiliev's higher spin gravity on $AdS_4$. Our paper concentrates on the massive phase of the 3d boundary theory. We discuss the advantage of introducing masses in the boundary theory through spontaneous breaking of scale invariance.

7.240001

6.932586

8.713884

6.947172

7.498231

7.328666

6.825809

7.053005

6.981244

8.285295

6.668721

7.098225

7.576057

6.832361

7.251321

7.013641

6.73352

7.134655

6.870246

7.326538

6.995032

hep-th/0106077

Yu. A. Sitenko

Effects of singular external fields and boundary condition on the vacuum of massless fermions in QFT

10 pages, LateX, to be published in Proceedings of the International Conference "Quantization, Gauge Theory, and Strings" dedicated to the memory of Professor Efim Fradkin (June 5-10, 2000, Moscow, Russia)

null

hep-th

null

Effects of the configuration of an external static magnetic field in the form of a singular vortex on the vacuum of a quantized massless spinor field are studied. The most general boundary conditions at the punctured singular point which make the twodimensional Dirac Hamiltonian to be self-adjoint are employed.

[ { "created": "Sun, 10 Jun 2001 11:09:38 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sitenko", "Yu. A.", "" ] ]

Effects of the configuration of an external static magnetic field in the form of a singular vortex on the vacuum of a quantized massless spinor field are studied. The most general boundary conditions at the punctured singular point which make the twodimensional Dirac Hamiltonian to be self-adjoint are employed.

14.668531

5.010562

13.221428

8.299323

6.046085

4.718581

5.537363

7.076546

7.156153

14.857711

8.066938

11.080239

13.832724

11.452397

10.912712

9.789954

10.22086

11.191304

11.637277

13.552034

11.936825

hep-th/9306147

null

S. Vandoren and A. Van Proeyen

Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity

45 pages

Nucl.Phys. B411 (1994) 257-306

10.1016/0550-3213(94)90060-4

null

hep-th

null

The Batalin--Vilkovisky (BV) formalism is a useful framework to study gauge theories. We summarize a simple procedure to find a a gauge--fixed action in this language and a way to obtain one--loop anomalies. Calculations involving the antifields can be greatly simplified by using a theorem on the antibracket cohomology. The latter is based on properties of a `Koszul--Tate differential', namely its acyclicity and nilpotency. We present a new proof for this acyclicity, respecting locality and covariance of the theory. This theorem then implies that consistent higher ghost terms in various expressions exist, and it avoids tedious calculations. This is illustrated in chiral $W_3$ gravity. We compute the one--loop anomaly without terms of negative ghost number. Then the mentioned theorem and the consistency condition imply that the full anomaly is determined up to local counterterms. Finally we show how to implement background charges into the BV language in order to cancel the anomaly with the appropriate counterterms. Again we use the theorem to simplify the calculations, which agree with previous results.

[ { "created": "Mon, 28 Jun 1993 13:23:54 GMT", "version": "v1" } ]

2016-09-06

[ [ "Vandoren", "S.", "" ], [ "Van Proeyen", "A.", "" ] ]

The Batalin--Vilkovisky (BV) formalism is a useful framework to study gauge theories. We summarize a simple procedure to find a a gauge--fixed action in this language and a way to obtain one--loop anomalies. Calculations involving the antifields can be greatly simplified by using a theorem on the antibracket cohomology. The latter is based on properties of a `Koszul--Tate differential', namely its acyclicity and nilpotency. We present a new proof for this acyclicity, respecting locality and covariance of the theory. This theorem then implies that consistent higher ghost terms in various expressions exist, and it avoids tedious calculations. This is illustrated in chiral $W_3$ gravity. We compute the one--loop anomaly without terms of negative ghost number. Then the mentioned theorem and the consistency condition imply that the full anomaly is determined up to local counterterms. Finally we show how to implement background charges into the BV language in order to cancel the anomaly with the appropriate counterterms. Again we use the theorem to simplify the calculations, which agree with previous results.

11.927619

11.876801

12.673995

11.218377

12.250046

12.267041

12.097506

11.680573

11.462214

13.663635

11.769053

11.298048

12.039721

11.419771

11.764988

11.586428

11.512192

11.371898

11.328902

11.932391

11.131145

1107.2324

Andrei Parnachev

David Kutasov, Jennifer Lin and Andrei Parnachev

Conformal Phase Transitions at Weak and Strong Coupling

52 pages, harvmac; v2: references added

Nucl.Phys.B 858:155-195, 2012

10.1016/j.nuclphysb.2012.01.004

null

hep-th hep-ph

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

D3 and D7-branes intersecting in 2+1 dimensions give rise at low energies to N=4 supersymmetric Yang-Mills theory coupled to defect fermions in the fundamental representation. This theory undergoes a BKT-type phase transition from a conformal phase to one in which the fermions acquire a non-zero mass when the 't Hooft coupling of the N=4 SYM exceeds a critical value. To study this transition, we continue the parameters of the model to a regime where a gravitational description is valid. We use it to calculate the masses of mesons and the phase diagram as a function of temperature and chemical potential. We also comment on the relation of our discussion to the transition from the non-abelian Coulomb phase to a confining one believed to occur in QCD at a critical number of flavors.

[ { "created": "Tue, 12 Jul 2011 15:29:13 GMT", "version": "v1" }, { "created": "Thu, 21 Jul 2011 17:45:26 GMT", "version": "v2" } ]

2012-01-31

[ [ "Kutasov", "David", "" ], [ "Lin", "Jennifer", "" ], [ "Parnachev", "Andrei", "" ] ]

D3 and D7-branes intersecting in 2+1 dimensions give rise at low energies to N=4 supersymmetric Yang-Mills theory coupled to defect fermions in the fundamental representation. This theory undergoes a BKT-type phase transition from a conformal phase to one in which the fermions acquire a non-zero mass when the 't Hooft coupling of the N=4 SYM exceeds a critical value. To study this transition, we continue the parameters of the model to a regime where a gravitational description is valid. We use it to calculate the masses of mesons and the phase diagram as a function of temperature and chemical potential. We also comment on the relation of our discussion to the transition from the non-abelian Coulomb phase to a confining one believed to occur in QCD at a critical number of flavors.

7.273784

6.568744

6.564376

6.498887

6.193531

6.247155

6.152119

6.000166

6.201413

7.048604

6.431207

6.029181

6.46917

6.18152

5.9661

5.915792

5.965695

6.120651

6.17876

6.373262

6.304132

hep-th/9503067

J. W. Goodison

Jim Goodison

Calogero-Vasiliev Oscillator in Dynamically Evolving Curved Spacetime

11 pages ( no figures ), RevTex - To appear in Physics Letters B

Phys.Lett. B350 (1995) 17-21

10.1016/0370-2693(95)00332-F

NCL94-TP15

hep-th

null

In a recent work, the consequences of quantizing a real scalar field $\Phi$ according to generalized ``quon'' statistics in a dynamically evolving curved spacetime (~which, prior to some initial time and subsequent to some later time, is flat~) were considered. Here a similar calculation is performed; this time we quantize $\Phi$ via the Calogero-Vasiliev oscillator algebra, described by a real parameter $\nu > -1/2$. It is found that both conservation ( $\nu \rightarrow \nu$ ) and anticonservation ( $\nu \rightarrow - \nu$ ) of statistics is allowed. We find that for mathematical consistency the Bogoliubov coefficients associated with the $i$'th field mode must satisfy $|\alpha_i |^2 - | \beta_i |^2 = 1$ with $| \beta_i |^2$ taking an integer value.

[ { "created": "Fri, 10 Mar 1995 13:51:45 GMT", "version": "v1" } ]

2016-09-06

[ [ "Goodison", "Jim", "" ] ]

In a recent work, the consequences of quantizing a real scalar field $\Phi$ according to generalized ``quon'' statistics in a dynamically evolving curved spacetime (~which, prior to some initial time and subsequent to some later time, is flat~) were considered. Here a similar calculation is performed; this time we quantize $\Phi$ via the Calogero-Vasiliev oscillator algebra, described by a real parameter $\nu > -1/2$. It is found that both conservation ( $\nu \rightarrow \nu$ ) and anticonservation ( $\nu \rightarrow - \nu$ ) of statistics is allowed. We find that for mathematical consistency the Bogoliubov coefficients associated with the $i$'th field mode must satisfy $|\alpha_i |^2 - | \beta_i |^2 = 1$ with $| \beta_i |^2$ taking an integer value.

10.120473

9.728648

11.181628

8.86543

10.679599

9.578728

9.957353

9.191461

9.644119

12.737977

9.403977

9.209922

9.489193

9.144888

9.053815

8.892776

8.882042

9.269632

9.635408

9.968642

9.429869

1706.07688

Andreas P. Braun

Andreas P. Braun, Callum R. Brodie, Andre Lukas

Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds

47 pages, 4 figures; data of physically promising models can be found at http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/HeteroticBundles/index.html

null

10.1007/JHEP04(2018)087

null

hep-th

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

We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution. Specifically, we consider toric weak Fano surfaces as base manifolds and identify six such manifolds with the required properties. The requisite mathematical tools for the construction of line bundle models on these spaces, including the calculation of line bundle cohomology, are developed. A computer scan leads to more than $400$ line bundle models with the right number of families and an $SU(5)$ GUT group which can descend to standard-like models after taking the $\mathbb{Z}_2$ quotient. A common and surprising feature of these models is the presence of a large number of vector-like states.

[ { "created": "Fri, 23 Jun 2017 13:30:06 GMT", "version": "v1" } ]

2018-05-09

[ [ "Braun", "Andreas P.", "" ], [ "Brodie", "Callum R.", "" ], [ "Lukas", "Andre", "" ] ]

We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution. Specifically, we consider toric weak Fano surfaces as base manifolds and identify six such manifolds with the required properties. The requisite mathematical tools for the construction of line bundle models on these spaces, including the calculation of line bundle cohomology, are developed. A computer scan leads to more than $400$ line bundle models with the right number of families and an $SU(5)$ GUT group which can descend to standard-like models after taking the $\mathbb{Z}_2$ quotient. A common and surprising feature of these models is the presence of a large number of vector-like states.

6.434993

6.996466

8.064999

6.895668

7.198171

7.050187

6.622892

6.290105

6.790636

8.577815

6.347279

6.594859

6.771105

6.350263

6.433873

6.451622

6.434387

6.432541

6.36437

7.091384

6.313355

0905.1764

Kazuya Yonekura

K.-I. Izawa, Fuminobu Takahashi, T.T. Yanagida, Kazuya Yonekura

Conformal Supersymmetry Breaking in Vector-like Gauge Theories

18pages; v2:explanations expanded, references added

Phys.Rev.D80:085017,2009

10.1103/PhysRevD.80.085017

IPMU09-0057, UT-09-12

hep-th hep-ph

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

A new class of models of dynamical supersymmetry breaking is proposed. The models are based on SU(N_C) gauge theories with N_F(<N_C) flavors of quarks and singlets. Dynamically generated superpotential exibits runaway behavior. By embedding the models into conformal field theories at high energies, the runaway potential is stabilized by strong quantum corrections to the Kahler potential. The quantum corrections are large but nevertheless can be controlled due to superconformal symmetry of the theories.

[ { "created": "Tue, 12 May 2009 06:20:19 GMT", "version": "v1" }, { "created": "Thu, 15 Oct 2009 08:33:43 GMT", "version": "v2" } ]

2009-10-29

[ [ "Izawa", "K. -I.", "" ], [ "Takahashi", "Fuminobu", "" ], [ "Yanagida", "T. T.", "" ], [ "Yonekura", "Kazuya", "" ] ]

A new class of models of dynamical supersymmetry breaking is proposed. The models are based on SU(N_C) gauge theories with N_F(<N_C) flavors of quarks and singlets. Dynamically generated superpotential exibits runaway behavior. By embedding the models into conformal field theories at high energies, the runaway potential is stabilized by strong quantum corrections to the Kahler potential. The quantum corrections are large but nevertheless can be controlled due to superconformal symmetry of the theories.

8.442379

7.561771

7.77669

6.803717

6.745335

7.208337

6.921231

7.413162

7.432764

8.667825

6.791494

7.041127

7.267112

7.101479

7.250808

7.063362

7.036874

7.173161

7.205035

7.451746

6.844245

hep-th/0004063

Krzysztof Pilch

Krzysztof Pilch and Nicholas P. Warner

N=2 Supersymmetric RG Flows and the IIB Dilaton

25 pages, 1 figure, harvmac, references added

Nucl.Phys. B594 (2001) 209-228

10.1016/S0550-3213(00)00656-8

CITUSC/00-18, USC-00/02

hep-th

null

We show that there is a non-trivial relationship between the dilaton of IIB supergravity, and the coset of scalar fields in five-dimensional, gauged N=8 supergravity. This has important consequences for the running of the gauge coupling in massive perturbations of the AdS/CFT correspondence. We conjecture an exact analytic expression for the ten-dimensional dilaton in terms of five-dimensional quantities, and we test this conjecture. Specifically, we construct a family of solutions to IIB supergravity that preserve half of the supersymmetries, and are lifts of supersymmetric flows in five-dimensional, gauged N=8 supergravity. Via the AdS/CFT correspondence these flows correspond to softly broken N=4, large N Yang-Mills theory on part of the Coulomb branch of N=2 supersymmetric Yang-Mills. Our solutions involve non-trivial backgrounds for all the tensor gauge fields as well as for the dilaton and axion.

[ { "created": "Mon, 10 Apr 2000 22:58:02 GMT", "version": "v1" }, { "created": "Fri, 9 Jun 2000 22:13:37 GMT", "version": "v2" } ]

2009-10-31

[ [ "Pilch", "Krzysztof", "" ], [ "Warner", "Nicholas P.", "" ] ]

We show that there is a non-trivial relationship between the dilaton of IIB supergravity, and the coset of scalar fields in five-dimensional, gauged N=8 supergravity. This has important consequences for the running of the gauge coupling in massive perturbations of the AdS/CFT correspondence. We conjecture an exact analytic expression for the ten-dimensional dilaton in terms of five-dimensional quantities, and we test this conjecture. Specifically, we construct a family of solutions to IIB supergravity that preserve half of the supersymmetries, and are lifts of supersymmetric flows in five-dimensional, gauged N=8 supergravity. Via the AdS/CFT correspondence these flows correspond to softly broken N=4, large N Yang-Mills theory on part of the Coulomb branch of N=2 supersymmetric Yang-Mills. Our solutions involve non-trivial backgrounds for all the tensor gauge fields as well as for the dilaton and axion.

6.045282

5.870962

6.419055

5.781937

5.858255

6.170308

6.141789

5.942745

5.569538

6.364663

5.740809

5.878912

6.063091

5.710966

5.774493

5.844747

5.711423

6.003275

5.772406

5.964059

5.789131

1211.1942

Walter Baron

Walter H. Baron

Strings and D-branes in curved space-time

167 pages, PhD. Thesis, defended 15/03/2012, 9 figures

null

hep-th

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

In this thesis we study the AdS3 Wess-Zumino-Novikov-Witten model. We compute the Operator Product Expansion of primary fields as well as their images under the spectral flow automorphism in all sectors of the model by considering it as a Wick rotation of the H3+ coset model. We argue that the symmetries of the affine algebra require a truncation which establishes the closure of the fusion rules on the Hilbert space of the theory. These results are then used to discuss the factorization of four point functions by applying the bootstrap approach. We also study the modular properties of the model. Although the Euclidean partition function is modular invariant, the characters on the Euclidean torus diverge and the regularization proposed in the literature removes information on the spectrum, so that the usual one to one map between characters and representations of rational models is lost. Reconsidering the characters defined on the Lorentzian torus and focusing on their structure as distributions, we obtain expressions that recover those properties. We then study their generalized modular properties and use them to discuss the relation between modular data and one point functions associated to symmetric D-branes, generalizing some results from Rational Conformal Field Theories in the particular cases of point like and dS2 branes, such as Cardy type solutions or Verlinde like formulas.

[ { "created": "Thu, 8 Nov 2012 18:56:22 GMT", "version": "v1" } ]

2012-11-09

[ [ "Baron", "Walter H.", "" ] ]

In this thesis we study the AdS3 Wess-Zumino-Novikov-Witten model. We compute the Operator Product Expansion of primary fields as well as their images under the spectral flow automorphism in all sectors of the model by considering it as a Wick rotation of the H3+ coset model. We argue that the symmetries of the affine algebra require a truncation which establishes the closure of the fusion rules on the Hilbert space of the theory. These results are then used to discuss the factorization of four point functions by applying the bootstrap approach. We also study the modular properties of the model. Although the Euclidean partition function is modular invariant, the characters on the Euclidean torus diverge and the regularization proposed in the literature removes information on the spectrum, so that the usual one to one map between characters and representations of rational models is lost. Reconsidering the characters defined on the Lorentzian torus and focusing on their structure as distributions, we obtain expressions that recover those properties. We then study their generalized modular properties and use them to discuss the relation between modular data and one point functions associated to symmetric D-branes, generalizing some results from Rational Conformal Field Theories in the particular cases of point like and dS2 branes, such as Cardy type solutions or Verlinde like formulas.

11.296542

11.469405

14.646009

10.750104

12.170658

11.521198

12.178522

11.123696

11.54072

14.588186

10.906936

11.235752

12.057263

11.368802

11.169473

11.364653

11.324033

11.001512

11.236197

12.371567

11.254906

hep-th/9712235

Levon Mardoyan

L.G. Mardoyan, A.N. Sissakian, V.M. Ter-Antonyan

8D oscillator as a hidden SU(2) - monopole

12 pages, LaTeX file

Phys.Atom.Nucl.61:1746-1750,1998; Yad.Fiz.61:1859-1863,1998

null

hep-th

null

In this report, in the framework of an analytical approach and with help of the generalized version of the Hurwitz transformation the five-dimensional SU(2)--monopole model is constructed from the eight-dimensional quantum oscillator. The SU(2)--monopole fields, the Clebsh-Gordan expansion stimulated by the space-gauge coupling, the hyperangle and the radial parts of the total wave function, the energy spectrum of the charge-monopole bound system and the corresponding degeneracy are calculated.

[ { "created": "Fri, 26 Dec 1997 12:44:52 GMT", "version": "v1" } ]

2011-04-15

[ [ "Mardoyan", "L. G.", "" ], [ "Sissakian", "A. N.", "" ], [ "Ter-Antonyan", "V. M.", "" ] ]

In this report, in the framework of an analytical approach and with help of the generalized version of the Hurwitz transformation the five-dimensional SU(2)--monopole model is constructed from the eight-dimensional quantum oscillator. The SU(2)--monopole fields, the Clebsh-Gordan expansion stimulated by the space-gauge coupling, the hyperangle and the radial parts of the total wave function, the energy spectrum of the charge-monopole bound system and the corresponding degeneracy are calculated.

18.886934

15.6845

16.692862

18.317057

16.175161

18.887695

17.717865

16.19054

18.216148

19.841618

15.796396

16.29162

17.382195

15.569767

17.114332

17.900883

17.264019

16.602011

16.297485

17.851912

16.433907

1905.12544

Maximilian Attems

Maximilian Attems, Yago Bea, Jorge Casalderrey-Solana, David Mateos, and Miguel Zilhao

Dynamics of Phase Separation from Holography

45 pages, 35 figures; published version

JHEP 2001 (2020) 106

10.1007/JHEP01(2020)106

ICCUB-19-004

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

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

We use holography to develop a physical picture of the real-time evolution of the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We numerically solve Einstein's equations to follow the evolution, in which we identify four generic stages: A first, linear stage in which the instability grows exponentially; a second, non-linear stage in which peaks and/or phase domains are formed; a third stage in which these structures merge; and a fourth stage in which the system finally relaxes to a static, phase-separated configuration. On the gravity side the latter is described by a static, stable, inhomogeneous horizon. We conjecture and provide evidence that all static, non-phase separated configurations in large enough boxes are dynamically unstable. We show that all four stages are well described by the constitutive relations of second-order hydrodynamics that include all second-order gradients that are purely spatial in the local rest frame. In contrast, a M\"uller-Israel-Stewart-type formulation of hydrodynamics fails to provide a good description for two reasons. First, it misses some large, purely-spatial gradient corrections. Second, several second-order transport coefficients in this formulation, including the relaxation times $\tau_\pi$ and $\tau_\Pi$, diverge at the points where the speed of sound vanishes.

[ { "created": "Wed, 29 May 2019 15:46:54 GMT", "version": "v1" }, { "created": "Thu, 13 Feb 2020 11:21:05 GMT", "version": "v2" } ]

2020-02-14

[ [ "Attems", "Maximilian", "" ], [ "Bea", "Yago", "" ], [ "Casalderrey-Solana", "Jorge", "" ], [ "Mateos", "David", "" ], [ "Zilhao", "Miguel", "" ] ]

We use holography to develop a physical picture of the real-time evolution of the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We numerically solve Einstein's equations to follow the evolution, in which we identify four generic stages: A first, linear stage in which the instability grows exponentially; a second, non-linear stage in which peaks and/or phase domains are formed; a third stage in which these structures merge; and a fourth stage in which the system finally relaxes to a static, phase-separated configuration. On the gravity side the latter is described by a static, stable, inhomogeneous horizon. We conjecture and provide evidence that all static, non-phase separated configurations in large enough boxes are dynamically unstable. We show that all four stages are well described by the constitutive relations of second-order hydrodynamics that include all second-order gradients that are purely spatial in the local rest frame. In contrast, a M\"uller-Israel-Stewart-type formulation of hydrodynamics fails to provide a good description for two reasons. First, it misses some large, purely-spatial gradient corrections. Second, several second-order transport coefficients in this formulation, including the relaxation times $\tau_\pi$ and $\tau_\Pi$, diverge at the points where the speed of sound vanishes.

8.308052

7.920497

8.879023

7.986628

7.952546

8.130912

8.176154

7.529247

7.894549

9.656055

7.811012

8.070938

8.023232

7.841716

8.174891

7.742861

8.11024

7.819955

7.78578

8.354568

7.909052

1506.07872

Fernando C. Lombardo

C\'esar D. Fosco and Fernando C. Lombardo

Radiation from an oscillating dipole layer facing a conducting plane: resonances and Dynamical Casimir Effect

11 pages, 2 figures

null

hep-th quant-ph

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

We study the properties of the classical electromagnetic (EM) radiation produced by two physically different yet closely related systems, which may be regarded as classical analogues of the Dynamical Casimir Effect (DCE). They correspond to two flat, infinite, parallel planes, one of them static and imposing perfect conductor boundary conditions, while the other performs a rigid oscillatory motion. The systems differ just in the electrical properties of the oscillating plane: one of them is just a planar dipole layer (representing, for instance, a small-width electret). The other, instead, has a dipole layer on the side which faces the static plane, but behaves as a conductor on the other side: this can be used as a representation of a conductor endowed with patch potentials (on the side which faces the conducting plane). We evaluate, in both cases, the dissipative flux of energy between the system and its environment, showing that, at least for small mechanical oscillation amplitudes, it can be written in terms of the dipole layer autocorrelation function. We show that there are resonances as a function of the frequency of the mechanical oscillation.

[ { "created": "Thu, 25 Jun 2015 19:50:32 GMT", "version": "v1" } ]

2015-08-17

[ [ "Fosco", "César D.", "" ], [ "Lombardo", "Fernando C.", "" ] ]

We study the properties of the classical electromagnetic (EM) radiation produced by two physically different yet closely related systems, which may be regarded as classical analogues of the Dynamical Casimir Effect (DCE). They correspond to two flat, infinite, parallel planes, one of them static and imposing perfect conductor boundary conditions, while the other performs a rigid oscillatory motion. The systems differ just in the electrical properties of the oscillating plane: one of them is just a planar dipole layer (representing, for instance, a small-width electret). The other, instead, has a dipole layer on the side which faces the static plane, but behaves as a conductor on the other side: this can be used as a representation of a conductor endowed with patch potentials (on the side which faces the conducting plane). We evaluate, in both cases, the dissipative flux of energy between the system and its environment, showing that, at least for small mechanical oscillation amplitudes, it can be written in terms of the dipole layer autocorrelation function. We show that there are resonances as a function of the frequency of the mechanical oscillation.

8.577258

8.805784

8.869056

8.75216

9.130651

10.505058

9.602536

8.834644

8.981441

10.132108

8.47332

8.301585

8.860012

8.640933

8.707546

8.641419

8.313574

8.593532

8.762065

8.478967

8.384112

0912.3406

Sergei Alexandrov

Sergei Alexandrov, Boris Pioline, Stefan Vandoren

Self-dual Einstein Spaces, Heavenly Metrics and Twistors

44 pages, 1 figure; misprints corrected

J.Math.Phys. 51 (2010) 073510

10.1063/1.3430574

LPTA/09-099, ITP-UU-09-58, SPIN-09-48

hep-th math.DG

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

Four-dimensional quaternion-Kahler metrics, or equivalently self-dual Einstein spaces M, are known to be encoded locally into one real function h subject to Przanowski's Heavenly equation. We elucidate the relation between this description and the usual twistor description for quaternion-Kahler spaces. In particular, we show that the same space M can be described by infinitely many different solutions h, associated to different complex (local) submanifolds on the twistor space, and therefore to different (local) integrable complex structures on M. We also study quaternion-Kahler deformations of M and, in the special case where M has a Killing vector field, show that the corresponding variations of h are related to eigenmodes of the conformal Laplacian on M. We exemplify our findings on the four-sphere S^4, the hyperbolic plane H^4 and on the "universal hypermultiplet", i.e. the hypermultiplet moduli space in type IIA string compactified on a rigid Calabi-Yau threefold.

[ { "created": "Thu, 17 Dec 2009 14:01:39 GMT", "version": "v1" }, { "created": "Thu, 9 May 2013 23:38:40 GMT", "version": "v2" } ]

2013-05-13

[ [ "Alexandrov", "Sergei", "" ], [ "Pioline", "Boris", "" ], [ "Vandoren", "Stefan", "" ] ]

Four-dimensional quaternion-Kahler metrics, or equivalently self-dual Einstein spaces M, are known to be encoded locally into one real function h subject to Przanowski's Heavenly equation. We elucidate the relation between this description and the usual twistor description for quaternion-Kahler spaces. In particular, we show that the same space M can be described by infinitely many different solutions h, associated to different complex (local) submanifolds on the twistor space, and therefore to different (local) integrable complex structures on M. We also study quaternion-Kahler deformations of M and, in the special case where M has a Killing vector field, show that the corresponding variations of h are related to eigenmodes of the conformal Laplacian on M. We exemplify our findings on the four-sphere S^4, the hyperbolic plane H^4 and on the "universal hypermultiplet", i.e. the hypermultiplet moduli space in type IIA string compactified on a rigid Calabi-Yau threefold.

7.614248

7.36584

8.292329

6.919283

7.302337

6.687271

7.041304

6.543165

6.710458

8.918137

6.995123

6.806701

7.597641

7.00914

6.935964

6.912233

7.036082

7.096565

6.998635

7.710814

7.031547

2107.11656

Titas Chanda

Titas Chanda, Maciej Lewenstein, Jakub Zakrzewski, Luca Tagliacozzo

Phase diagram of 1+1D Abelian-Higgs model and its critical point

6+3 pages, 4+6 figures. Version accepted in PRL

Phys. Rev. Lett. 128, 090601 (2022)

10.1103/PhysRevLett.128.090601

null

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

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

We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidences for its description as the product of two non-interacting systems, a massless free fermion and a massless free boson. However, we find also some surprizing results that cannot be explained by our simple picture, suggesting this newly discovered critical point to be an unusual one.

[ { "created": "Sat, 24 Jul 2021 17:15:55 GMT", "version": "v1" }, { "created": "Thu, 5 Aug 2021 16:02:31 GMT", "version": "v2" }, { "created": "Sun, 3 Oct 2021 10:26:09 GMT", "version": "v3" }, { "created": "Sun, 13 Feb 2022 09:33:47 GMT", "version": "v4" } ]

2023-01-04

[ [ "Chanda", "Titas", "" ], [ "Lewenstein", "Maciej", "" ], [ "Zakrzewski", "Jakub", "" ], [ "Tagliacozzo", "Luca", "" ] ]

We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidences for its description as the product of two non-interacting systems, a massless free fermion and a massless free boson. However, we find also some surprizing results that cannot be explained by our simple picture, suggesting this newly discovered critical point to be an unusual one.

7.58641

8.20345

8.509564

7.431256

8.020532

8.887251

8.166286

8.082488

8.256612

8.396628

7.546552

7.463853

7.986382

7.58835

7.335425

7.74391

7.488739

7.641828

7.699193

7.703

7.30217

2202.00017

Rahim Leung

C. W. Erickson, Rahim Leung, K. S. Stelle

Higgs Effect Without Lunch

17 pages. Contribution to "The Future of Mathematical Cosmology", Philosophical Transactions A

null

10.1098/rsta.2021.0184

null

hep-th

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

Reduction in effective spacetime dimensionality can occur in field-theory models more general than the widely studied dimensional reductions based on technically consistent truncations. Situations where wavefunction factors depend nontrivially on coordinates transverse to the effective lower dimension can give rise to unusual patterns of gauge symmetry breaking. Leading-order gauge modes can be left massless, but naturally occurring Stueckelberg modes can couple importantly at quartic order and higher, thus generating a "covert" pattern of gauge symmetry breaking. Such a situation is illustrated in a five-dimensional model of scalar electrodynamics in which one spatial dimension is taken to be an interval with Dirichlet/Robin boundary conditions on opposing ends. This simple model illuminates a mechanism which also has been found in gravitational braneworld scenarios.

[ { "created": "Mon, 31 Jan 2022 19:00:01 GMT", "version": "v1" } ]

2022-08-10

[ [ "Erickson", "C. W.", "" ], [ "Leung", "Rahim", "" ], [ "Stelle", "K. S.", "" ] ]

Reduction in effective spacetime dimensionality can occur in field-theory models more general than the widely studied dimensional reductions based on technically consistent truncations. Situations where wavefunction factors depend nontrivially on coordinates transverse to the effective lower dimension can give rise to unusual patterns of gauge symmetry breaking. Leading-order gauge modes can be left massless, but naturally occurring Stueckelberg modes can couple importantly at quartic order and higher, thus generating a "covert" pattern of gauge symmetry breaking. Such a situation is illustrated in a five-dimensional model of scalar electrodynamics in which one spatial dimension is taken to be an interval with Dirichlet/Robin boundary conditions on opposing ends. This simple model illuminates a mechanism which also has been found in gravitational braneworld scenarios.

17.71549

16.447052

18.202524

16.044067

16.079077

16.182335

15.514303

16.313242

16.255951

18.690323

16.338339

15.123293

16.79463

16.307522

16.566643

15.867813

15.345974

16.225492

15.900249

17.493065

16.129858

hep-th/9302082

Branko Urosevic

Branko Urosevic (BROWN)

Perturbation Theory in Two Dimensional Open String Field Theory

26 pages

Phys.Rev. D47 (1993) 5460-5469

10.1103/PhysRevD.47.5460

BROWN-HET-899

hep-th

null

In this paper we develop the covariant string field theory approach to open 2d strings. Upon constructing the vertices, we apply the formalism to calculate the lowest order contributions to the 4- and 5- point tachyon--tachyon tree amplitudes. Our results are shown to match the `bulk' amplitude calculations of Bershadsky and Kutasov. In the present approach the pole structure of the amplitudes becomes manifest and their origin as coming from the higher string modes transparent.

[ { "created": "Thu, 18 Feb 1993 21:20:23 GMT", "version": "v1" } ]

2009-10-22

[ [ "Urosevic", "Branko", "", "BROWN" ] ]

In this paper we develop the covariant string field theory approach to open 2d strings. Upon constructing the vertices, we apply the formalism to calculate the lowest order contributions to the 4- and 5- point tachyon--tachyon tree amplitudes. Our results are shown to match the `bulk' amplitude calculations of Bershadsky and Kutasov. In the present approach the pole structure of the amplitudes becomes manifest and their origin as coming from the higher string modes transparent.

11.918661

11.286226

13.26472

10.540981

10.90067

11.386852

11.518193

10.947483

10.926797

12.314671

10.444528

10.301352

11.74372

10.329648

11.062314

10.750124

10.55327

10.444181

10.418888

11.180031

10.634199

0902.2041

Kazuyuki Furuuchi

Kazuyuki Furuuchi, Dan Tomino (NCTS, Hsinchu)

Supersymmetric reduced models with a symmetry based on Filippov algebra

v3: In the previous versions we overlooked that Eq.(3.9) holds more generally, and missed some supersymmetric actions. Those are now included and modifications including a slight change in the title were made accordingly. 1+18 pages

JHEP 0905:070,2009

10.1088/1126-6708/2009/05/070

null

hep-th

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

Generalizations of the reduced model of super Yang-Mills theory obtained by replacing the Lie algebra structure to Filippov $n$-algebra structures are studied. Conditions for the reduced model actions to be supersymmetric are examined. These models are related with what we call $\{cal N}_{min}=2$ super $p$-brane actions.

[ { "created": "Thu, 12 Feb 2009 06:55:30 GMT", "version": "v1" }, { "created": "Thu, 19 Feb 2009 14:44:26 GMT", "version": "v2" }, { "created": "Tue, 3 Mar 2009 19:08:34 GMT", "version": "v3" } ]

2009-05-20

[ [ "Furuuchi", "Kazuyuki", "", "NCTS, Hsinchu" ], [ "Tomino", "Dan", "", "NCTS, Hsinchu" ] ]

Generalizations of the reduced model of super Yang-Mills theory obtained by replacing the Lie algebra structure to Filippov $n$-algebra structures are studied. Conditions for the reduced model actions to be supersymmetric are examined. These models are related with what we call $\{cal N}_{min}=2$ super $p$-brane actions.

17.270161

16.931637

20.46986

15.775609

15.621637

17.377739

18.229479

14.519876

16.03351

18.571453

15.116062

14.733534

16.226099

14.023603

14.71528

15.048808

14.851544

14.593568

14.913043

16.872271

14.696528

2306.02538

R. Cartas-Fuentevilla

R. Cartas-Fuentevilla, K. Peralta-Martinez, D. A. Zarate-Herrada, and J.L.A. Calvario-Acocal

Strong/weak duality symmetries for Jacobi--Gordon field theory through elliptic functions

35 pages

null

hep-th

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

By using the scheme of Jacobi elliptic functions with their duality symmetries we present a formulation of the Jacobi- Gordon field theory that will manifest the strong/weak coupling duality at classical level; for certain continuous limits for the elliptic modulus the model will reduce to the standard sin/sinh Gordon field theories, for which such a strong/weak duality is known only at the level of the S-matrix. It is shown that the so called self-dual point for the standard sin/sinh Gordon field theory that divides the strong and the weak coupling regimes, corresponds only to one point of a set of fixed points under the duality transformations for the elliptic functions. The potentials constructed in terms of elliptic functions have a critical behavior near that self-dual point, showing a change of topology; in the weak coupling regime the vacuum topology implies that there exists the possibility of formation of topological defects, and in the strong regime coupling there no exists the possibility of formation of those defects. Furthermore, the equations of motion can be solved in exact form in terms of the inverse elliptic functions; in a case the kink-like solitons asso\-cia\-ted with the maxima of the potential can decay to cusp-like solitons associated with the minima. The polynomial expansions of the generalized models show a critical behavior at certain self-dual points; such points define the regions where the spontaneous symmetry breaking scenarios are po\-ssi\-ble. By invoking the duality symmetries for the elliptic functions, an explicit relation between the original potentials and their dual versions are constructed; with this relationship, an approaching to a specific self-dual point is considered for our generalized models.

[ { "created": "Mon, 5 Jun 2023 02:12:08 GMT", "version": "v1" } ]

2023-06-06

[ [ "Cartas-Fuentevilla", "R.", "" ], [ "Peralta-Martinez", "K.", "" ], [ "Zarate-Herrada", "D. A.", "" ], [ "Calvario-Acocal", "J. L. A.", "" ] ]

By using the scheme of Jacobi elliptic functions with their duality symmetries we present a formulation of the Jacobi- Gordon field theory that will manifest the strong/weak coupling duality at classical level; for certain continuous limits for the elliptic modulus the model will reduce to the standard sin/sinh Gordon field theories, for which such a strong/weak duality is known only at the level of the S-matrix. It is shown that the so called self-dual point for the standard sin/sinh Gordon field theory that divides the strong and the weak coupling regimes, corresponds only to one point of a set of fixed points under the duality transformations for the elliptic functions. The potentials constructed in terms of elliptic functions have a critical behavior near that self-dual point, showing a change of topology; in the weak coupling regime the vacuum topology implies that there exists the possibility of formation of topological defects, and in the strong regime coupling there no exists the possibility of formation of those defects. Furthermore, the equations of motion can be solved in exact form in terms of the inverse elliptic functions; in a case the kink-like solitons asso\-cia\-ted with the maxima of the potential can decay to cusp-like solitons associated with the minima. The polynomial expansions of the generalized models show a critical behavior at certain self-dual points; such points define the regions where the spontaneous symmetry breaking scenarios are po\-ssi\-ble. By invoking the duality symmetries for the elliptic functions, an explicit relation between the original potentials and their dual versions are constructed; with this relationship, an approaching to a specific self-dual point is considered for our generalized models.

12.005821

12.098353

13.045999

11.938922

12.238138

13.120549

12.591316

12.123209

11.52995

13.210431

11.991346

12.053267

12.331962

11.936812

11.987979

11.83522

11.900804

11.675452

11.59398

12.149926

11.951513

hep-th/9406164

Dmitrij Sorokin

Geometry of Fermionic Constraints in Superstring Theories

7 pages, preprint KCL-TH-94-9

null

hep-th

null

Considered are superparticle and superstring models invariant under supersymmetry in a target superspace and local extended worldsheet supersymmetry the latter replacing the fermionic $\kappa$--symmetry of the conventional Green--Schwarz formulations. (Talk given at the Conference on Geometry of Constrained Dynamical Systems, Cambridge, June 15-18, 1994).

[ { "created": "Fri, 24 Jun 1994 10:25:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sorokin", "Dmitrij", "" ] ]

Considered are superparticle and superstring models invariant under supersymmetry in a target superspace and local extended worldsheet supersymmetry the latter replacing the fermionic $\kappa$--symmetry of the conventional Green--Schwarz formulations. (Talk given at the Conference on Geometry of Constrained Dynamical Systems, Cambridge, June 15-18, 1994).

12.950737

10.874266

15.847695

9.442765

11.379508

10.976467

10.380478

9.908287

8.910821

17.492718

9.516934

9.358731

11.809097

9.508738

9.609686

9.801912

9.434124

9.612603

10.230766

12.587499

10.292372

2401.05608

Boris Latosh

Boris N Latosh

FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity

null

Symmetry 2024, 16(1), 117

10.3390/sym16010117

CTPU-PTC-24-01

hep-th gr-qc

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

The article reviews recent progress in computational quantum gravity caused by the framework that efficiently computes Feynman's rules. The framework is implemented in the FeynGrav package, which extends the functionality of the widely used FeynCalc package. FeynGrav provides all the tools to study quantum gravitational effects within the standard model. We review the framework, provide the theoretical background for the efficient computation of Feynman rules, and present the proof of its completeness. We review the derivation of Feynman rules for general relativity, Horndeski gravity, Dirac fermions, Proca field, electromagnetic field, and SU(N) Yang-Mills model. We conclude with a discussion of the current state of the FeynGrav package and discuss its further development.

[ { "created": "Thu, 11 Jan 2024 01:06:17 GMT", "version": "v1" } ]

2024-01-22

[ [ "Latosh", "Boris N", "" ] ]

The article reviews recent progress in computational quantum gravity caused by the framework that efficiently computes Feynman's rules. The framework is implemented in the FeynGrav package, which extends the functionality of the widely used FeynCalc package. FeynGrav provides all the tools to study quantum gravitational effects within the standard model. We review the framework, provide the theoretical background for the efficient computation of Feynman rules, and present the proof of its completeness. We review the derivation of Feynman rules for general relativity, Horndeski gravity, Dirac fermions, Proca field, electromagnetic field, and SU(N) Yang-Mills model. We conclude with a discussion of the current state of the FeynGrav package and discuss its further development.

9.078501

8.723542

9.223238

7.946662

7.382763

8.839423

8.152845

8.016915

8.347181

10.174594

8.055205

8.42771

8.465237

8.104401

8.454279

8.600252

8.628287

8.372791

8.596288

8.261765

8.156269

hep-th/9412187

null

D. Nemeschansky and N. P. Warner

The Refined Elliptic Genus and Coulomb Gas Formulations of $N=2$ Superconformal Coset Models

40 pages in harvmac, no figures

Nucl.Phys. B442 (1995) 623-654

10.1016/0550-3213(95)00059-2

USC-94/018, CERN-TH.7548

hep-th

null

We describe, in some detail, a number of different Coulomb gas formulations of $N=2$ superconformal coset models. We also give the mappings between these formulations. The ultimate purpose of this is to show how the Landau-Ginzburg structure of these models can be used to extract the $W$-generators, and to show how the computation of the elliptic genus can be refined so as to extract very detailed information about the characters of component parts of the model.

[ { "created": "Wed, 21 Dec 1994 16:20:36 GMT", "version": "v1" } ]

2009-10-28

[ [ "Nemeschansky", "D.", "" ], [ "Warner", "N. P.", "" ] ]

We describe, in some detail, a number of different Coulomb gas formulations of $N=2$ superconformal coset models. We also give the mappings between these formulations. The ultimate purpose of this is to show how the Landau-Ginzburg structure of these models can be used to extract the $W$-generators, and to show how the computation of the elliptic genus can be refined so as to extract very detailed information about the characters of component parts of the model.

10.143436

9.240918

10.82032

8.764637

8.960539

8.685442

8.3362

8.548327

8.889622

11.057001

8.835707

8.782964

10.749519

9.355912

8.668226

9.104407

9.085635

9.260609

9.362345

10.385662

9.117496

hep-th/9302096

Ez

Frank Wilczek

Quantum Purity at a Small Price: Easing a Black Hole Paradox

19 pages, phyzzx, 2 figures not included available by request sent to ZYNDA@IASSNS.BITNET, IASSNS HEP/93-12

null

hep-th

null

Following Hawking, it is usual to mimic the effect of collapse space-time geometry on quantum fields in a semi-classical approximation by imposing suitable boundary conditions at the origin of coordinates, which effectively becomes a moving mirror. Suitable mirror trajectories induces a close analogue to the radiance of black holes, including a flux of outgoing radiation that appears accurately thermal. If the acceleration of the mirror eventually ceases the complete state of the radiation field is a pure quantum state, even though it is indistinguishable from an accurately thermal state for an arbitrarily long period of time and in a precise sense differs little from ``pure thermal'' closely followed by ``vacuum''. Suspicions that the semiclassical calculation of black hole radiance gives evidence for the evolution of pure into mixed states are criticized on this basis. Possible extensions of the model to mimic black holes more accurately (including the effects of back reaction and partial transparency), while remaining within the realm of tractable models, are suggested.

[ { "created": "Fri, 19 Feb 1993 19:55:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wilczek", "Frank", "" ] ]

Following Hawking, it is usual to mimic the effect of collapse space-time geometry on quantum fields in a semi-classical approximation by imposing suitable boundary conditions at the origin of coordinates, which effectively becomes a moving mirror. Suitable mirror trajectories induces a close analogue to the radiance of black holes, including a flux of outgoing radiation that appears accurately thermal. If the acceleration of the mirror eventually ceases the complete state of the radiation field is a pure quantum state, even though it is indistinguishable from an accurately thermal state for an arbitrarily long period of time and in a precise sense differs little from ``pure thermal'' closely followed by ``vacuum''. Suspicions that the semiclassical calculation of black hole radiance gives evidence for the evolution of pure into mixed states are criticized on this basis. Possible extensions of the model to mimic black holes more accurately (including the effects of back reaction and partial transparency), while remaining within the realm of tractable models, are suggested.

21.363918

19.489094

20.381823

18.275749

20.992489

19.633307

21.745041

18.463242

18.176287

21.256876

18.687048

18.487034

19.320286

19.413916

19.338591

19.151058

18.738476

18.247545

19.189909

19.540689

18.49646

1511.03608

G. Alencar

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

Photon mass as a probe to extra dimensions

4 pages

null

10.1016/j.physletb.2016.05.062

null

hep-th gr-qc hep-ph

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

In this manuscript we show that the geometrical localization mechanism implies a four dimensional mass for the photon. The consistence of the model provides a mass given exactly by $m_{\gamma}=\sqrt{R}/4$ where $R$ is the Ricci scalar. As a consequence, the cosmological photon has a mass related to the vacuum solution of the Einstein equation. At the present age of the universe we have a dS vacuum with $R=4\Lambda$, where Lambda is a positive cosmological constant. With this we find that $m_{\gamma}\approx 2\times 10^{-69}$ kg, which is below the present experimental upper bounds, and such correction may be observed in the next years with more precise measurements. By considering the value of $R$ inside some astrophysical sources and environments we find that the bound is also satisfied. The experimental verification of this mass, beyond pointing to the existence of extra dimensions, would imply in a fundamental change in cosmology, astrophysics and in particle physics since the same mechanism is valid for non-abelian gauge fields.

[ { "created": "Wed, 11 Nov 2015 19:12:59 GMT", "version": "v1" }, { "created": "Mon, 16 Nov 2015 20:37:57 GMT", "version": "v2" } ]

2016-06-02

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

In this manuscript we show that the geometrical localization mechanism implies a four dimensional mass for the photon. The consistence of the model provides a mass given exactly by $m_{\gamma}=\sqrt{R}/4$ where $R$ is the Ricci scalar. As a consequence, the cosmological photon has a mass related to the vacuum solution of the Einstein equation. At the present age of the universe we have a dS vacuum with $R=4\Lambda$, where Lambda is a positive cosmological constant. With this we find that $m_{\gamma}\approx 2\times 10^{-69}$ kg, which is below the present experimental upper bounds, and such correction may be observed in the next years with more precise measurements. By considering the value of $R$ inside some astrophysical sources and environments we find that the bound is also satisfied. The experimental verification of this mass, beyond pointing to the existence of extra dimensions, would imply in a fundamental change in cosmology, astrophysics and in particle physics since the same mechanism is valid for non-abelian gauge fields.

9.963288

10.127275

9.715404

9.290881

10.562137

10.405074

10.088437

9.414409

9.421552

9.919895

9.873464

9.333588

9.19248

9.153989

9.401599

9.47608

9.22442

9.37357

9.288742

9.512388

9.38082

0801.3687

Isaac Chappell II

Isaac Chappell II and S. James Gates Jr

Short Distance Operator Product Expansion of the 1D, N = 4 Extended GR Super Virasoro Algebra by Use of Coadjoint Representations

20 pages, corrected typos

JHEP 0901:054,2009

10.1088/1126-6708/2009/01/054

null

hep-th

null

Using the previous construction of the geometrical representation (GR) of the centerless 1D, N = 4 extended Super Virasoro algebra, we construct the corresponding Short Distance Operation Product Expansions for the deformed version of the algebra. This algebra differs from the regular algebra by the addition of terms containing the Levi-Civita tensor. How this addition changes the super-commutation relations and affects the Short Distance Operation Product Expansions (OPEs) of the associated fields is investigated. The Method of Coadjoint Orbits, which removes the need first to find Lagrangians invariant under the action of the symmetries, is used to calculate the expansions. Finally, an alternative method involving Clifford algebras is investigated for comparison.

[ { "created": "Thu, 24 Jan 2008 10:33:03 GMT", "version": "v1" } ]

2009-01-27

[ [ "Chappell", "Isaac", "II" ], [ "Gates", "S. James", "Jr" ] ]

Using the previous construction of the geometrical representation (GR) of the centerless 1D, N = 4 extended Super Virasoro algebra, we construct the corresponding Short Distance Operation Product Expansions for the deformed version of the algebra. This algebra differs from the regular algebra by the addition of terms containing the Levi-Civita tensor. How this addition changes the super-commutation relations and affects the Short Distance Operation Product Expansions (OPEs) of the associated fields is investigated. The Method of Coadjoint Orbits, which removes the need first to find Lagrangians invariant under the action of the symmetries, is used to calculate the expansions. Finally, an alternative method involving Clifford algebras is investigated for comparison.

15.116112

16.697483

15.387028

14.512799

14.429219

15.486863

15.345304

13.741038

13.914551

16.576693

12.978538

14.485006

14.082629

13.754408

14.398947

13.94439

14.178267

14.054339

13.601196

14.793397

13.698201

2208.11982

Rong-Xin Miao

Peng-Ju Hu, Dongqi Li and Rong-Xin Miao

Island on codimension-two branes in AdS/dCFT

46 pages, 20 figures, reference added, minor revision published in JHEP

JHEP11(2022)008

10.1007/JHEP11(2022)008

null

hep-th gr-qc

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

The previous studies of the island and double holography mainly focus on codimension-one branes. This paper explores the island on the codimension-two brane in AdS/dCFT. The codimension-two brane is closely related to conical singularity, which is very different from the codimension-one brane. We analyze the mass spectrum of gravitons on the codimension-two brane and find that the larger the brane tension is, the smaller the gravitational mass is. The massless mode is forbidden by either the boundary or normalization conditions. We prove that the first massive gravitational mode is located on the codimension-two brane; the larger the tension, the better the localization. It is similar to the case of codimension-one brane and builds an excellent physical foundation for the study of black hole evolution on codimension-two branes. We find that the Page curve of eternal black holes can be recovered due to the island ending on the codimension-two brane. The new feature is that the extremal surface passing the horizon cannot be defined after some finite time in the no-island phase. Fortunately, this unusual situation does not affect the Page curve since it happens after Page time.

[ { "created": "Thu, 25 Aug 2022 10:24:38 GMT", "version": "v1" }, { "created": "Wed, 2 Nov 2022 23:03:20 GMT", "version": "v2" } ]

2022-11-04

[ [ "Hu", "Peng-Ju", "" ], [ "Li", "Dongqi", "" ], [ "Miao", "Rong-Xin", "" ] ]

The previous studies of the island and double holography mainly focus on codimension-one branes. This paper explores the island on the codimension-two brane in AdS/dCFT. The codimension-two brane is closely related to conical singularity, which is very different from the codimension-one brane. We analyze the mass spectrum of gravitons on the codimension-two brane and find that the larger the brane tension is, the smaller the gravitational mass is. The massless mode is forbidden by either the boundary or normalization conditions. We prove that the first massive gravitational mode is located on the codimension-two brane; the larger the tension, the better the localization. It is similar to the case of codimension-one brane and builds an excellent physical foundation for the study of black hole evolution on codimension-two branes. We find that the Page curve of eternal black holes can be recovered due to the island ending on the codimension-two brane. The new feature is that the extremal surface passing the horizon cannot be defined after some finite time in the no-island phase. Fortunately, this unusual situation does not affect the Page curve since it happens after Page time.

9.182762

7.968254

10.325059

8.174173

8.617414

8.632596

7.977107

8.2181

7.941329

9.796268

8.173234

8.455746

9.162053

8.848505

8.754403

8.728498

8.835818

8.692629

8.502939

9.182791

8.547038

1401.7274

Matteo Rosso

Niklas Beisert, Johannes Broedel and Matteo Rosso

On Yangian-invariant regularisation of deformed on-shell diagrams in N=4 super-Yang-Mills theory

32 pages; replaced with published version (updated abstract, minor corrections)

J. Phys. A 47, 365402 (2014)

10.1088/1751-8113/47/36/365402

null

hep-th

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

We investigate Yangian invariance of deformed on-shell diagrams with D=4, N=4 superconformal symmetry. We find that invariance implies a direct relationship between the deformation parameters and the permutation associated to the on-shell graph. We analyse the connection with deformations of scattering amplitudes in N=4 super-Yang-Mills theory and the possibility of using the deformation parameters as a regulator preserving Yangian invariance. A study of higher-point tree and loop graphs suggests that manifest Yangian invariance of the amplitude requires trivial deformation parameters.

[ { "created": "Tue, 28 Jan 2014 17:49:13 GMT", "version": "v1" }, { "created": "Tue, 26 Aug 2014 12:53:31 GMT", "version": "v2" } ]

2014-08-27

[ [ "Beisert", "Niklas", "" ], [ "Broedel", "Johannes", "" ], [ "Rosso", "Matteo", "" ] ]

We investigate Yangian invariance of deformed on-shell diagrams with D=4, N=4 superconformal symmetry. We find that invariance implies a direct relationship between the deformation parameters and the permutation associated to the on-shell graph. We analyse the connection with deformations of scattering amplitudes in N=4 super-Yang-Mills theory and the possibility of using the deformation parameters as a regulator preserving Yangian invariance. A study of higher-point tree and loop graphs suggests that manifest Yangian invariance of the amplitude requires trivial deformation parameters.

8.536919

8.703596

10.504866

8.201337

8.150797

8.582364

8.775529

8.35935

8.390059

10.033492

8.687039

8.648125

9.045705

8.347379

8.606363

8.612203

8.783227

8.274648

8.724012

9.182

8.128928

hep-th/9312150

Olaf Lechtenfeld

S. V. Ketov, O. Lechtenfeld and A. J. Parkes

Twisting the N=2 String

42 pages, LaTeX, no figures, 120 kb, ITP-UH-24/93, DESY 93-191 (abstract and introduction clarified, minor corrections added)

Phys. Rev. D 51, 2872 (1995)

10.1103/PhysRevD.51.2872

null

hep-th

null

The most general homogeneous monodromy conditions in $N{=}2$ string theory are classified in terms of the conjugacy classes of the global symmetry group $U(1,1)\otimes{\bf Z}_2$. For classes which generate a discrete subgroup $\G$, the corresponding target space backgrounds ${\bf C}^{1,1}/\G$ include half spaces, complex orbifolds and tori. We propose a generalization of the intercept formula to matrix-valued twists, but find massless physical states only for $\Gamma{=}{\bf 1}$ (untwisted) and $\Gamma{=}{\bf Z}_2$ (\`a la Mathur and Mukhi), as well as for $\Gamma$ being a parabolic element of $U(1,1)$. In particular, the sixteen ${\bf Z}_2$-twisted sectors of the $N{=}2$ string are investigated, and the corresponding ground states are identified via bosonization and BRST cohomology. We find enough room for an extended multiplet of `spacetime' supersymmetry, with the number of supersymmetries being dependent on global `spacetime' topology. However, world-sheet locality for the chiral vertex operators does not permit interactions among all massless `spacetime' fermions.

[ { "created": "Thu, 16 Dec 1993 21:35:54 GMT", "version": "v1" }, { "created": "Tue, 4 Oct 1994 12:18:47 GMT", "version": "v2" } ]

2016-08-24

[ [ "Ketov", "S. V.", "" ], [ "Lechtenfeld", "O.", "" ], [ "Parkes", "A. J.", "" ] ]

The most general homogeneous monodromy conditions in $N{=}2$ string theory are classified in terms of the conjugacy classes of the global symmetry group $U(1,1)\otimes{\bf Z}_2$. For classes which generate a discrete subgroup $\G$, the corresponding target space backgrounds ${\bf C}^{1,1}/\G$ include half spaces, complex orbifolds and tori. We propose a generalization of the intercept formula to matrix-valued twists, but find massless physical states only for $\Gamma{=}{\bf 1}$ (untwisted) and $\Gamma{=}{\bf Z}_2$ (\`a la Mathur and Mukhi), as well as for $\Gamma$ being a parabolic element of $U(1,1)$. In particular, the sixteen ${\bf Z}_2$-twisted sectors of the $N{=}2$ string are investigated, and the corresponding ground states are identified via bosonization and BRST cohomology. We find enough room for an extended multiplet of `spacetime' supersymmetry, with the number of supersymmetries being dependent on global `spacetime' topology. However, world-sheet locality for the chiral vertex operators does not permit interactions among all massless `spacetime' fermions.

9.258488

9.430276

10.393328

8.766804

9.609622

9.061408

9.47367

8.816119

8.844183

10.704665

8.828454

8.634284

9.437577

8.592813

8.736129

8.87527

8.676126

8.817482

8.590054

9.136455

8.637065

1607.06643

Hui-Huang Chen

Nan Bai, Hui-Huang Chen, Xiao-Chen Ding, De-Sheng Li, Jun-Bao Wu

Integrability of Orbifold ABJM Theories

33 pages, 9 figures

JHEP11(2016)101

10.1007/JHEP11(2016)101

null

hep-th

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

Integrable structure has played a very important role in the study of various non-perturbative aspects of planar ABJM theories. In this paper we showed that this remarkable structure survive after orbifold operation with discrete group $\Gamma(\simeq\mathbb{Z}_n)<SU(4)_R\times U(1)_b$. For general $\Gamma$, we prove the integrability in the scalar sector at the planar two-loop order and get the Bethe ansatz equations. The eigenvalues of the anomalous dimension matrix are also obtained. For $\Gamma<SU(4)$, two-loop all-sector and all-loop BAEs are proposed. Supersymmetric orbifolds are discussed in this framework.

[ { "created": "Fri, 22 Jul 2016 12:05:56 GMT", "version": "v1" }, { "created": "Fri, 29 Jul 2016 02:03:59 GMT", "version": "v2" }, { "created": "Sat, 12 Nov 2016 05:11:55 GMT", "version": "v3" }, { "created": "Thu, 20 Sep 2018 10:13:32 GMT", "version": "v4" } ]

2018-09-21

[ [ "Bai", "Nan", "" ], [ "Chen", "Hui-Huang", "" ], [ "Ding", "Xiao-Chen", "" ], [ "Li", "De-Sheng", "" ], [ "Wu", "Jun-Bao", "" ] ]

Integrable structure has played a very important role in the study of various non-perturbative aspects of planar ABJM theories. In this paper we showed that this remarkable structure survive after orbifold operation with discrete group $\Gamma(\simeq\mathbb{Z}_n)<SU(4)_R\times U(1)_b$. For general $\Gamma$, we prove the integrability in the scalar sector at the planar two-loop order and get the Bethe ansatz equations. The eigenvalues of the anomalous dimension matrix are also obtained. For $\Gamma<SU(4)$, two-loop all-sector and all-loop BAEs are proposed. Supersymmetric orbifolds are discussed in this framework.

9.771847

10.752926

10.142077

9.656474

10.456295

11.036256

9.919039

10.329823

8.998928

11.000651

9.167562

9.530638

9.168036

8.924406

9.490632

9.485984

9.659183

9.223886

8.802785

9.711386

9.474682

hep-th/0409045

Hyeonjoon Shin

Hyeonjoon Shin, Kentaroh Yoshida

Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model

28 pages, LaTeX2e, 1 figure, 1 table

Nucl.Phys. B709 (2005) 69-93

10.1016/j.nuclphysb.2004.12.007

KEK-TH-975

hep-th

null

In plane-wave matrix model, the membrane fuzzy sphere extended in the SO(3) symmetric space is allowed to have periodic motion on a sub-plane in the SO(6) symmetric space. We consider a background configuration composed of two such fuzzy spheres moving on the same sub-plane and the one-loop quantum corrections to it. The one-loop effective action describing the fuzzy sphere interaction is computed up to the sub-leading order in the limit that the mean distance $r$ between two fuzzy spheres is very large. We show that the leading order interaction is of the 1/r^7 type and thus the membrane fuzzy spheres interpreted as giant gravitons really behave as gravitons.

[ { "created": "Fri, 3 Sep 2004 13:48:06 GMT", "version": "v1" } ]

2010-04-05

[ [ "Shin", "Hyeonjoon", "" ], [ "Yoshida", "Kentaroh", "" ] ]

In plane-wave matrix model, the membrane fuzzy sphere extended in the SO(3) symmetric space is allowed to have periodic motion on a sub-plane in the SO(6) symmetric space. We consider a background configuration composed of two such fuzzy spheres moving on the same sub-plane and the one-loop quantum corrections to it. The one-loop effective action describing the fuzzy sphere interaction is computed up to the sub-leading order in the limit that the mean distance $r$ between two fuzzy spheres is very large. We show that the leading order interaction is of the 1/r^7 type and thus the membrane fuzzy spheres interpreted as giant gravitons really behave as gravitons.

14.041186

12.169416

15.307812

11.355894

11.491822

12.650957

11.134639

12.356345

11.951704

16.255222

11.271052

11.700842

12.454653

11.551378

11.658081

12.049256

11.756035

11.818073

11.135197

12.621216

11.853652

hep-th/0506168

Kazuo Ghoroku

Flavor meson localization in 5d braneworld

15 pages, 2 figures

Phys.Lett. B632 (2006) 405-410

10.1016/j.physletb.2005.10.023

FIT HE-05-03

hep-th

null

We propose a brane-world, which contains flavor quarks and mesons, by embedding dimensionally reduced D7-brane in both the supersymmetric and non-supersymmetric 5d background which are obtained as the solutions of type IIB supergravity compactified on Ad$S_5\times S^5$. In the supersymmetric case, the RS brane can be put at any point of the fifth coordinate, but it is pushed to the Ad$S_5$ boundary in the non-supersymmetric case. We study the localization of the flavor mesons, the fluctuation-modes of D7-brane, on the Randall-Sundrum brane in these backgrounds.

[ { "created": "Tue, 21 Jun 2005 07:19:23 GMT", "version": "v1" }, { "created": "Sat, 30 Jul 2005 09:05:22 GMT", "version": "v2" }, { "created": "Mon, 22 Aug 2005 09:13:46 GMT", "version": "v3" } ]

2010-04-05

[ [ "Ghoroku", "Kazuo", "" ] ]

We propose a brane-world, which contains flavor quarks and mesons, by embedding dimensionally reduced D7-brane in both the supersymmetric and non-supersymmetric 5d background which are obtained as the solutions of type IIB supergravity compactified on Ad$S_5\times S^5$. In the supersymmetric case, the RS brane can be put at any point of the fifth coordinate, but it is pushed to the Ad$S_5$ boundary in the non-supersymmetric case. We study the localization of the flavor mesons, the fluctuation-modes of D7-brane, on the Randall-Sundrum brane in these backgrounds.

7.726147

7.660195

8.563462

7.320273

7.791616

7.313084

7.180981

6.879039

7.256112

8.635077

6.98019

7.19037

7.440558

7.136632

7.168858

7.145822

7.203063

7.183659

7.197969

7.864064

7.243419

hep-th/0104137

Jorge Alfaro

Jorge Alfaro and Pedro Labra\~na (Pontificia Universidad Cat\'olica de Chile)

Semiclassical Gauge Theories

15 pages, Latex. Added reference. Small changes in abstract and introduction.Additional appendix

Phys.Rev.D65:045002,2002

10.1103/PhysRevD.65.045002

null

hep-th

null

We study the properties of a non-abelian gauge theory subjected to a gauge invariant constraint given by the classical equations of motion. The constraint is not imposed by hand, but appears naturally when we study a particular type of local gauge transformations. In this way, all standard techniques to treat gauge theories are available. We will show that this theory lives at one-loop. Also this model retains some quantum characteristic of the usual non-abelian gauge theories as asymptotic freedom.

[ { "created": "Mon, 16 Apr 2001 22:30:38 GMT", "version": "v1" }, { "created": "Mon, 16 Apr 2001 23:20:48 GMT", "version": "v2" }, { "created": "Fri, 29 Jun 2001 10:13:52 GMT", "version": "v3" }, { "created": "Tue, 16 Oct 2001 22:41:59 GMT", "version": "v4" } ]

2016-08-16

[ [ "Alfaro", "Jorge", "", "Pontificia Universidad Católica de\n Chile" ], [ "Labraña", "Pedro", "", "Pontificia Universidad Católica de\n Chile" ] ]

We study the properties of a non-abelian gauge theory subjected to a gauge invariant constraint given by the classical equations of motion. The constraint is not imposed by hand, but appears naturally when we study a particular type of local gauge transformations. In this way, all standard techniques to treat gauge theories are available. We will show that this theory lives at one-loop. Also this model retains some quantum characteristic of the usual non-abelian gauge theories as asymptotic freedom.

13.388273

12.15027

12.73689

12.088286

13.127258

12.278515

12.9314

13.051599

12.297909

14.264177

11.80324

12.732949

13.000805

12.541316

13.274887

13.032941

13.092385

12.354388

12.701903

13.106958

12.438714

2212.09762

Matthias Wilhelm

Roger Morales, Anne Spiering, Matthias Wilhelm, Qinglin Yang, Chi Zhang

Bootstrapping elliptic Feynman integrals using Schubert analysis

5+6 pages, 4 figures

null

10.1103/PhysRevLett.131.041601

null

hep-th

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

The symbol bootstrap has proven to be a powerful tool for calculating polylogarithmic Feynman integrals and scattering amplitudes. In this letter, we initiate the symbol bootstrap for elliptic Feynman integrals. Concretely, we bootstrap the symbol of the twelve-point two-loop double-box integral in four dimensions, which depends on nine dual-conformal cross ratios. We obtain the symbol alphabet, which contains 100 logarithms as well as 9 simple elliptic integrals, via a Schubert-type analysis, which we equally generalize to the elliptic case. In particular, we find a compact, one-line formula for the (2,2)-coproduct of the result.

[ { "created": "Mon, 19 Dec 2022 19:00:01 GMT", "version": "v1" } ]

2023-08-02

[ [ "Morales", "Roger", "" ], [ "Spiering", "Anne", "" ], [ "Wilhelm", "Matthias", "" ], [ "Yang", "Qinglin", "" ], [ "Zhang", "Chi", "" ] ]

The symbol bootstrap has proven to be a powerful tool for calculating polylogarithmic Feynman integrals and scattering amplitudes. In this letter, we initiate the symbol bootstrap for elliptic Feynman integrals. Concretely, we bootstrap the symbol of the twelve-point two-loop double-box integral in four dimensions, which depends on nine dual-conformal cross ratios. We obtain the symbol alphabet, which contains 100 logarithms as well as 9 simple elliptic integrals, via a Schubert-type analysis, which we equally generalize to the elliptic case. In particular, we find a compact, one-line formula for the (2,2)-coproduct of the result.

11.044894

8.564548

11.572537

9.121772

8.940358

8.949818

8.84952

8.897549

8.582882

11.740739

8.649436

9.118527

9.624084

9.396972

9.556109

9.218975

9.342428

9.306332

9.156659

10.264606

9.131189

1611.07005

Gian Paolo Vacca

Roberto Percacci and Gian Paolo Vacca

The background scale Ward identity in quantum gravity

13 pages, latex, few typos corrected, version accepted for publication on EPJC

null

10.1140/epjc/s10052-017-4619-x

null

hep-th

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

We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e. to the beta functional, as defined by the exact RG equation. The Ward identity and the RG equation can be combined, resulting in a modified flow equation that is manifestly invariant under global background rescalings.

[ { "created": "Mon, 21 Nov 2016 20:48:31 GMT", "version": "v1" }, { "created": "Wed, 11 Jan 2017 21:17:59 GMT", "version": "v2" } ]

2017-03-08

[ [ "Percacci", "Roberto", "" ], [ "Vacca", "Gian Paolo", "" ] ]

We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e. to the beta functional, as defined by the exact RG equation. The Ward identity and the RG equation can be combined, resulting in a modified flow equation that is manifestly invariant under global background rescalings.

8.793769

7.157688

9.025808

7.606569

8.006574

7.637354

7.430501

7.823091

7.616033

9.246383

8.033422

7.772264

8.397912

7.834232

7.474266

8.073982

7.724276

7.901184

8.11237

8.507086

7.84311

0710.1956

Norma Mankoc Borstnik

Norma Susana Mankoc Borstnik, Holger Bech Nielsen

Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests in d=1+3 as massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field

15 pages

Phys.Lett.B663:265-269,2008

10.1016/j.physletb.2008.04.017

null

hep-th

null

The genuine Kaluza-Klein-like theories--with no fields in addition to gravity--have difficulties with the existence of massless spinors after the compactification of some space dimensions \cite{witten}. We proposed in previous paper a boundary condition for spinors in d=(1+5) compactified on a flat disk that ensures masslessness of spinors (with all positive half integer charges) in d=(1+3) as well as their chiral coupling to the corresponding background gauge gravitational field. In this paper we study the same toy model, proposing a boundary condition allowing a massless spinor of one handedness and only one charge (1/2) and infinitely many massive spinors of the same charge, allowing disc to be curved. We define the operator of momentum to be Hermitean on the vector space of spinor states--the solutions on a disc with the boundary.

[ { "created": "Wed, 10 Oct 2007 09:34:13 GMT", "version": "v1" } ]

2008-11-26

[ [ "Borstnik", "Norma Susana Mankoc", "" ], [ "Nielsen", "Holger Bech", "" ] ]

The genuine Kaluza-Klein-like theories--with no fields in addition to gravity--have difficulties with the existence of massless spinors after the compactification of some space dimensions \cite{witten}. We proposed in previous paper a boundary condition for spinors in d=(1+5) compactified on a flat disk that ensures masslessness of spinors (with all positive half integer charges) in d=(1+3) as well as their chiral coupling to the corresponding background gauge gravitational field. In this paper we study the same toy model, proposing a boundary condition allowing a massless spinor of one handedness and only one charge (1/2) and infinitely many massive spinors of the same charge, allowing disc to be curved. We define the operator of momentum to be Hermitean on the vector space of spinor states--the solutions on a disc with the boundary.

18.38138

13.670997

19.251682

15.339111

14.865503

14.080763

14.162033

13.94954

14.452173

20.422424

15.506649

15.90927

17.651163

16.633829

16.198269

17.178366

16.907093

16.196394

16.536545

17.867441

16.665964

1603.05250

Sean Weinberg

Fabio Sanches and Sean J. Weinberg

A Holographic Entanglement Entropy Conjecture for General Spacetimes

17 pages, 9 figures. Matches version to appear in Phys. Rev. D. Added references and improved presentation

Phys. Rev. D 94, 084034 (2016)

10.1103/PhysRevD.94.084034

null

hep-th gr-qc

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

We present a natural generalization of holographic entanglement entropy proposals beyond the scope of AdS/CFT by anchoring extremal surfaces to holographic screens. Holographic screens are a natural extension of the AdS boundary to arbitrary spacetimes and are preferred codimension 1 surfaces from the viewpoint of the covariant entropy bound. A broad class of screens have a unique preferred foliation into codimension 2 surfaces called leaves. Our proposal is to find the areas of extremal surfaces achored to the boundaries of regions in leaves. We show that the properties of holographic screens are sufficient to prove, under generic conditions, that extremal surfaces anchored in this way always lie within a causal region associated with a given leaf. Within this causal region, a maximin construction similar to that of Wall proves that our proposed quantity satisfies standard properties of entanglement entropy like strong subadditivity. We conjecture that our prescription computes entanglement entropies in quantum states that holographically define arbitrary spacetimes, including those in a cosmological setting with no obvious boundary on which to anchor extremal surfaces.

[ { "created": "Wed, 16 Mar 2016 20:00:02 GMT", "version": "v1" }, { "created": "Thu, 14 Apr 2016 18:26:17 GMT", "version": "v2" }, { "created": "Thu, 6 Oct 2016 16:45:49 GMT", "version": "v3" } ]

2016-11-02

[ [ "Sanches", "Fabio", "" ], [ "Weinberg", "Sean J.", "" ] ]

We present a natural generalization of holographic entanglement entropy proposals beyond the scope of AdS/CFT by anchoring extremal surfaces to holographic screens. Holographic screens are a natural extension of the AdS boundary to arbitrary spacetimes and are preferred codimension 1 surfaces from the viewpoint of the covariant entropy bound. A broad class of screens have a unique preferred foliation into codimension 2 surfaces called leaves. Our proposal is to find the areas of extremal surfaces achored to the boundaries of regions in leaves. We show that the properties of holographic screens are sufficient to prove, under generic conditions, that extremal surfaces anchored in this way always lie within a causal region associated with a given leaf. Within this causal region, a maximin construction similar to that of Wall proves that our proposed quantity satisfies standard properties of entanglement entropy like strong subadditivity. We conjecture that our prescription computes entanglement entropies in quantum states that holographically define arbitrary spacetimes, including those in a cosmological setting with no obvious boundary on which to anchor extremal surfaces.

8.306331

9.303956

9.65907

8.439967

8.551553

8.351069

8.292222

8.296758

8.419873

10.51339

8.506882

7.736218

9.047109

8.241553

8.235766

8.146047

8.272898

8.637683

8.214135

8.988616

8.030146

hep-th/9402095

null

A. Mikovic

Black Holes and Nonperturbative Canonical 2D Dilaton Gravity

20 pgs, Imperial-TP/93-94/16, LaTex, (Argument about the presence of the Hawking radiation in the semiclassical limit has been made more precise.)

null

hep-th gr-qc

null

We investigate nonperturbative canonical quantization of two dimensional dilaton gravity theories with an emphasis on the CGHS model. We use an approach where a canonical transformation is constructed such that the constraints take a quadratic form. The required canonical transformation is obtained by using a method based on the B\"acklund transformation from the Liouville theory. We quantize dilaton gravity in terms of the new variables, where it takes a form of a bosonic string theory with background charges. Unitarity is then established by going into a light-cone gauge. As a direct consequence, black holes in this theory do not violate unitarity, and there is no information loss. We argue that the information escapes during the evaporation process. We also discuss the implications of this quantization scheme for the quantum fate of real black holes. The main conclusion is that black holes do not have to violate quantum mechanics.

[ { "created": "Wed, 16 Feb 1994 14:15:04 GMT", "version": "v1" }, { "created": "Thu, 17 Feb 1994 12:08:22 GMT", "version": "v2" }, { "created": "Wed, 11 May 1994 16:39:06 GMT", "version": "v3" }, { "created": "Tue, 28 Jun 1994 10:13:31 GMT", "version": "v4" } ]

2008-02-03

[ [ "Mikovic", "A.", "" ] ]

We investigate nonperturbative canonical quantization of two dimensional dilaton gravity theories with an emphasis on the CGHS model. We use an approach where a canonical transformation is constructed such that the constraints take a quadratic form. The required canonical transformation is obtained by using a method based on the B\"acklund transformation from the Liouville theory. We quantize dilaton gravity in terms of the new variables, where it takes a form of a bosonic string theory with background charges. Unitarity is then established by going into a light-cone gauge. As a direct consequence, black holes in this theory do not violate unitarity, and there is no information loss. We argue that the information escapes during the evaporation process. We also discuss the implications of this quantization scheme for the quantum fate of real black holes. The main conclusion is that black holes do not have to violate quantum mechanics.

8.622108

7.988004

8.619386

8.080505

8.012652

7.79553

7.880774

7.85619

8.092227

9.033246

8.072507

8.132883

8.3499

8.34486

8.150044

8.301784

8.528944

8.123545

8.175161

8.67962

7.938384

hep-th/0211211

M. A. R. Osorio

Manuel A. Cobas, M. A. R. Osorio, Mar\'ia Su\'arez (University of Oviedo, Asturias, Spain)

Educing the volume out of the phase space boundary

28 pages, added more comments and references

Int.J.Mod.Phys. A21 (2006) 3967-3989

10.1142/S0217751X06031417

null

hep-th

null

We explicitly show that, in a system with T-duality symmetry, the configuration space volume degrees of freedom may hide on the surface boundary of the region of accessible states with energy lower than a fixed value. This means that, when taking the decompactification limit (big volume limit), a number of accessible states proportional to the volume is recovered even if no volume dependence appears when energy is high enough. All this behavior is contained in the exact way of computing sums by making integrals. We will also show how the decompactification limit for the gas of strings can be defined in a microcanonical description at finite volume.

[ { "created": "Fri, 22 Nov 2002 20:40:11 GMT", "version": "v1" }, { "created": "Tue, 22 Jun 2004 17:31:39 GMT", "version": "v2" }, { "created": "Mon, 26 Sep 2005 18:05:53 GMT", "version": "v3" } ]

2016-08-16

[ [ "Cobas", "Manuel A.", "", "University of\n Oviedo, Asturias, Spain" ], [ "Osorio", "M. A. R.", "", "University of\n Oviedo, Asturias, Spain" ], [ "Suárez", "María", "", "University of\n Oviedo, Asturias, Spain" ] ]

We explicitly show that, in a system with T-duality symmetry, the configuration space volume degrees of freedom may hide on the surface boundary of the region of accessible states with energy lower than a fixed value. This means that, when taking the decompactification limit (big volume limit), a number of accessible states proportional to the volume is recovered even if no volume dependence appears when energy is high enough. All this behavior is contained in the exact way of computing sums by making integrals. We will also show how the decompactification limit for the gas of strings can be defined in a microcanonical description at finite volume.

22.309319

23.544882

22.104198

20.971432

22.491228

23.632917

22.955835

21.288195

21.715252

24.251141

20.341751

20.156675

21.021467

20.146816

20.520205

19.419525

19.866098

20.099482

20.658873

20.640406

20.31126

1612.09281

Veselin Filev

Yuhma Asano, Veselin G. Filev, Samuel Kov\'a\v{c}ik, Denjoe O'Connor

A Computer Test of Holographic Flavour Dynamics II

typos fixed, acknowledgements updated

JHEP03(2018)055

10.1007/JHEP03(2018)055

DIAS-STP-16-13

hep-th hep-lat

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

We study the second derivative of the free energy with respect to the fundamental mass (the mass susceptibility) for the Berkooz-Douglas model as a function of temperature and at zero mass. The model is believed to be holographically dual to a D0/D4 intersection. We perform a lattice simulation of the system at finite temperature and find excellent agreement with predictions from the gravity dual.

[ { "created": "Thu, 29 Dec 2016 20:40:07 GMT", "version": "v1" }, { "created": "Tue, 9 Jan 2018 13:46:07 GMT", "version": "v2" }, { "created": "Tue, 13 Nov 2018 09:42:06 GMT", "version": "v3" } ]

2018-11-14

[ [ "Asano", "Yuhma", "" ], [ "Filev", "Veselin G.", "" ], [ "Kováčik", "Samuel", "" ], [ "O'Connor", "Denjoe", "" ] ]

We study the second derivative of the free energy with respect to the fundamental mass (the mass susceptibility) for the Berkooz-Douglas model as a function of temperature and at zero mass. The model is believed to be holographically dual to a D0/D4 intersection. We perform a lattice simulation of the system at finite temperature and find excellent agreement with predictions from the gravity dual.

11.325573

8.047831

13.517663

7.866778

7.936409

7.17274

7.643293

7.731

6.849346

9.955323

7.303501

7.781315

8.95482

7.745284

8.073447

7.805264

7.767597

8.20013

8.082858

9.670227

8.503775

hep-th/0701039

Geoffrey Comp?re

Geoffrey Compere and Stephane Detournay

Centrally extended symmetry algebra of asymptotically Goedel spacetimes

12 pages, sign mistake corrected in the central charge, takes precedence over published version

JHEP 0703:098,2007

10.1088/1126-6708/2007/03/098

null

hep-th gr-qc

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

We define an asymptotic symmetry algebra for three-dimensional Goedel spacetimes supported by a gauge field which turns out to be the semi-direct sum of the diffeomorphisms on the circle with two loop algebras. A class of fields admitting this asymptotic symmetry algebra and leading to well-defined conserved charges is found. The covariant Poisson bracket of the conserved charges is then shown to be centrally extended to the semi-direct sum of a Virasoro algebra and two affine algebras.

[ { "created": "Fri, 5 Jan 2007 09:07:39 GMT", "version": "v1" }, { "created": "Sat, 28 Mar 2009 21:08:27 GMT", "version": "v2" } ]

2010-10-27

[ [ "Compere", "Geoffrey", "" ], [ "Detournay", "Stephane", "" ] ]

We define an asymptotic symmetry algebra for three-dimensional Goedel spacetimes supported by a gauge field which turns out to be the semi-direct sum of the diffeomorphisms on the circle with two loop algebras. A class of fields admitting this asymptotic symmetry algebra and leading to well-defined conserved charges is found. The covariant Poisson bracket of the conserved charges is then shown to be centrally extended to the semi-direct sum of a Virasoro algebra and two affine algebras.

7.02138

6.856684

7.492023

6.318978

6.528101

6.807982

6.990181

6.223792

6.964218

6.973288

6.520709

6.694258

6.812266

6.47732

6.556332

6.200673

6.476095

6.639253

6.222146

6.76402

6.587498

hep-th/0203244

Tapobrata Sarkar

Arshad Momen, Tapobrata Sarkar

A Comment on Curvature Effects In CFTs And The Cardy-Verlinde Formula

8 Pages, To Appear in PLB

Phys.Lett. B534 (2002) 167-171

10.1016/S0370-2693(02)01651-9

null

hep-th

null

We examine the Cardy-Verlinde formula for finite temperature N=4 Super Yang-Mills theory on $R\times S^3$, and its AdS dual. We find that curvature effects introduce non-trivial corrections to thermodynamic quantities computed on both sides. We find a modified version of the Cardy-Verlinde formula for the SYM theory, incorporating these. On the gravity side, these corrections imply that the Cardy-Verlinde formula is exact.

[ { "created": "Tue, 26 Mar 2002 16:22:36 GMT", "version": "v1" } ]

2009-11-07

[ [ "Momen", "Arshad", "" ], [ "Sarkar", "Tapobrata", "" ] ]

We examine the Cardy-Verlinde formula for finite temperature N=4 Super Yang-Mills theory on $R\times S^3$, and its AdS dual. We find that curvature effects introduce non-trivial corrections to thermodynamic quantities computed on both sides. We find a modified version of the Cardy-Verlinde formula for the SYM theory, incorporating these. On the gravity side, these corrections imply that the Cardy-Verlinde formula is exact.

6.770591

5.769081

6.306655

5.739217

6.309112

6.141528

5.849296

6.191136

6.041424

6.939848

6.074242

6.020576

6.35711

6.016678

5.984129

6.040771

6.161851

6.140822

5.802129

6.528103

5.822009

hep-th/9812043

S. Kalyana Rama

S. Kalyana Rama, Tapobrata Sarkar

Holographic Principle during Inflation and a Lower Bound on Density Fluctuations

12 Pages. Latex. Typos fixed; references added

Phys.Lett. B450 (1999) 55-60

10.1016/S0370-2693(99)00114-8

IMSc/98/12/56

hep-th astro-ph gr-qc

null

We apply the holographic principle during the inflationary stage of our universe. Where necessary, we illustrate the analysis in the case of new and extended inflation which, together, typify generic models of inflation. We find that in the models of extended inflation type, and perhaps of new inflation type also, the holographic principle leads to a lower bound on the density fluctuations.

[ { "created": "Fri, 4 Dec 1998 17:39:01 GMT", "version": "v1" }, { "created": "Sat, 19 Dec 1998 17:34:25 GMT", "version": "v2" } ]

2009-10-31

[ [ "Rama", "S. Kalyana", "" ], [ "Sarkar", "Tapobrata", "" ] ]

We apply the holographic principle during the inflationary stage of our universe. Where necessary, we illustrate the analysis in the case of new and extended inflation which, together, typify generic models of inflation. We find that in the models of extended inflation type, and perhaps of new inflation type also, the holographic principle leads to a lower bound on the density fluctuations.

15.912118

15.245573

14.613745

13.669765

14.684047

14.312472

15.567218

13.823957

14.168468

13.241309

14.771405

14.1374

13.802932

14.571375

14.618331

14.544126

13.81627

13.79109

14.397903

13.89953

14.319556

hep-th/0410200

Evgeny Buchbinder

Evgeny I. Buchbinder, Burt A. Ovrut, Rene Reinbacher

Instanton Moduli in String Theory

LaTeX, 42 pages, typos corrected

JHEP0504:008,2005

10.1088/1126-6708/2005/04/008

null

hep-th

null

Expressions for the number of moduli of arbitrary SU(n) vector bundles constructed via Fourier-Mukai transforms of spectral data over Calabi- Yau threefolds are derived and presented. This is done within the context of simply connected, elliptic Calabi-Yau threefolds with base Fr, but the methods have wider applicability. The condition for a vector bundle to possess the minimal number of moduli for fixed r and n is discussed and an explicit formula for the minimal number of moduli is presented. In addition, transition moduli for small instanton phase transitions involving non-positive spectral covers are defined, enumerated and given a geometrical interpretation.

[ { "created": "Wed, 20 Oct 2004 01:01:42 GMT", "version": "v1" }, { "created": "Sat, 30 Oct 2004 15:32:23 GMT", "version": "v2" } ]

2009-11-10

[ [ "Buchbinder", "Evgeny I.", "" ], [ "Ovrut", "Burt A.", "" ], [ "Reinbacher", "Rene", "" ] ]

Expressions for the number of moduli of arbitrary SU(n) vector bundles constructed via Fourier-Mukai transforms of spectral data over Calabi- Yau threefolds are derived and presented. This is done within the context of simply connected, elliptic Calabi-Yau threefolds with base Fr, but the methods have wider applicability. The condition for a vector bundle to possess the minimal number of moduli for fixed r and n is discussed and an explicit formula for the minimal number of moduli is presented. In addition, transition moduli for small instanton phase transitions involving non-positive spectral covers are defined, enumerated and given a geometrical interpretation.

14.766842

13.293558

12.959291

12.450043

13.74672

14.162273

13.937127

12.31939

12.72548

18.699171

13.019264

13.477759

13.752552

13.406854

13.595118

13.402063

13.507351

12.737367

13.133534

13.843271

13.28878

1811.11764

Domenico Orlando

Domenico Orlando and Susanne Reffert and Yuta Sekiguchi and Kentaroh Yoshida

SUSY and the bi-vector

20 pages

null

10.1088/1402-4896/ab1ab9

null

hep-th

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

In this note we give an explicit formula for the preserved Killing spinors in deformed string theory backgrounds corresponding to integrable Yang--Baxter deformations realized via (sequences of) TsT transformations. The Killing spinors can be expressed only in terms of the bi-vector $\Theta$ which encodes the deformation. This formula is applicable to deformed backgrounds related to $r$-matrices of various ranks, including those that do not satisfy the unimodularity condition and give rise to backgrounds in generalized supergravity. We conjecture that our formula also remains valid for integrable deformations which are not realized via TsT transformations and motivate this conjecture by explicit examples.

[ { "created": "Wed, 28 Nov 2018 19:00:02 GMT", "version": "v1" } ]

2019-09-04

[ [ "Orlando", "Domenico", "" ], [ "Reffert", "Susanne", "" ], [ "Sekiguchi", "Yuta", "" ], [ "Yoshida", "Kentaroh", "" ] ]

In this note we give an explicit formula for the preserved Killing spinors in deformed string theory backgrounds corresponding to integrable Yang--Baxter deformations realized via (sequences of) TsT transformations. The Killing spinors can be expressed only in terms of the bi-vector $\Theta$ which encodes the deformation. This formula is applicable to deformed backgrounds related to $r$-matrices of various ranks, including those that do not satisfy the unimodularity condition and give rise to backgrounds in generalized supergravity. We conjecture that our formula also remains valid for integrable deformations which are not realized via TsT transformations and motivate this conjecture by explicit examples.

8.67893

7.91849

10.78128

7.580347

8.582226

8.24585

8.059795

7.871384

7.454479

10.605136

7.844411

7.617874

8.367204

7.609533

7.551525

7.585478

7.508918

7.642872

7.329101

8.274138

7.433916

hep-th/9910144

A. B. Hammou

Amine B. Hammou (SISSA,Trieste,Italy), Jose F. Morales (INFN,Sezione di "Tor Vergata",Roma,Italy)

Fivebrane instantons and higher derivative couplings in type I theory

14 pages, corrected some typos. Version to appear in Nucl. Phys. B

Nucl.Phys. B573 (2000) 335-348

10.1016/S0550-3213(99)00741-5

SISSA/128/99/EP

hep-th

null

We express the infinite sum of D-fivebrane instanton corrections to ${\cal R}^2$ couplings in ${\cal N}=4$ type I string vacua, in terms of an elliptic index counting 1/2-BPS excitations in the effective $Sp(N)$ brane theory. We compute the index explicitly in the infrared, where the effective theory is argued to flow to an orbifold CFT. The form of the instanton sum agrees completely with the predicted formula from a dual one-loop computation in type IIA theory on $K3\times T^2$. The proposed CFT provides a proper description of the whole spectrum of masses, charges and multiplicities for 1/2- and 1/4- BPS states, associated to bound states of D5-branes and KK momenta. These results are applied to show how fivebrane instanton sums, entering higher derivative couplings which are sensitive to 1/4-BPS contributions, also match the perturbative results in the dual type IIA theory.

[ { "created": "Mon, 18 Oct 1999 18:00:24 GMT", "version": "v1" }, { "created": "Fri, 26 Nov 1999 17:13:24 GMT", "version": "v2" } ]

2009-10-31

[ [ "Hammou", "Amine B.", "", "SISSA,Trieste,Italy" ], [ "Morales", "Jose F.", "", "INFN,Sezione\n di \"Tor Vergata\",Roma,Italy" ] ]

We express the infinite sum of D-fivebrane instanton corrections to ${\cal R}^2$ couplings in ${\cal N}=4$ type I string vacua, in terms of an elliptic index counting 1/2-BPS excitations in the effective $Sp(N)$ brane theory. We compute the index explicitly in the infrared, where the effective theory is argued to flow to an orbifold CFT. The form of the instanton sum agrees completely with the predicted formula from a dual one-loop computation in type IIA theory on $K3\times T^2$. The proposed CFT provides a proper description of the whole spectrum of masses, charges and multiplicities for 1/2- and 1/4- BPS states, associated to bound states of D5-branes and KK momenta. These results are applied to show how fivebrane instanton sums, entering higher derivative couplings which are sensitive to 1/4-BPS contributions, also match the perturbative results in the dual type IIA theory.

8.729601

8.80213

9.269838

8.502345

8.648153

8.50029

8.176616

7.930582

8.217728

9.809134

8.11629

8.184008

8.713827

8.256504

8.245728

8.33241

8.24542

8.125335

8.171525

8.566354

8.142158

hep-th/0604083

Jerzy Lukierski

Jerzy Lukierski (Inst. Theor. Phys. Wroclaw University)

Quantum Deformations of Einstein's Relativistic Symmetries

LaTeX, 8 pages, AIP Proceedings style (included). Submitted to the Proceedings of Albert Einstein Century International Conference, July 18--22, 2005, Paris

AIPConf.Proc.861:398-405,2006

10.1063/1.2399602

null

hep-th

null

We shall outline two ways of introducing the modification of Einstein's relativistic symmetries of special relativity theory - the Poincar\'{e} symmetries. The most complete way of introducing the modifications is via the noncocommutative Hopf-algebraic structure describing quantum symmetries. Two types of quantum relativistic symmetries are described, one with constant commutator of quantum Minkowski space coordinates ($\theta_{\mu\nu}$-deformation) and second with Lie-algebraic structure of quantum space-time, introducing so-called $\kappa$-deformation. The third fundamental constant of Nature - fundamental mass $\kappa$ or length $\lambda$ - appears naturally in proposed quantum relativistic symmetry scheme. The deformed Minkowski space is described as the representation space (Hopf-module) of deformed Poincar\'{e} algebra. Some possible perspectives of quantum-deformed relativistic symmetries will be outlined.

[ { "created": "Tue, 11 Apr 2006 12:30:15 GMT", "version": "v1" } ]

2009-11-11

[ [ "Lukierski", "Jerzy", "", "Inst. Theor. Phys. Wroclaw University" ] ]

We shall outline two ways of introducing the modification of Einstein's relativistic symmetries of special relativity theory - the Poincar\'{e} symmetries. The most complete way of introducing the modifications is via the noncocommutative Hopf-algebraic structure describing quantum symmetries. Two types of quantum relativistic symmetries are described, one with constant commutator of quantum Minkowski space coordinates ($\theta_{\mu\nu}$-deformation) and second with Lie-algebraic structure of quantum space-time, introducing so-called $\kappa$-deformation. The third fundamental constant of Nature - fundamental mass $\kappa$ or length $\lambda$ - appears naturally in proposed quantum relativistic symmetry scheme. The deformed Minkowski space is described as the representation space (Hopf-module) of deformed Poincar\'{e} algebra. Some possible perspectives of quantum-deformed relativistic symmetries will be outlined.

9.228603

9.094937

9.113222

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8.640361

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8.640897

10.211

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8.624511

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8.550734

8.675264

8.568608

9.161524

8.74383

2406.13737

Miguel Correia

Miguel Correia and Giulia Isabella

The Born regime of gravitational amplitudes

35 pages + appendices, 6 figures; v2: typos fixed, added references

null

hep-th gr-qc hep-ph

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

We study the $2 \to 2$ scattering in the regime where the wavelength of the scattered objects is comparable to their distance but is much larger than any Compton wavelength in the quantum field theory. We observe that in this regime - which differs from the eikonal - the Feynman diagram expansion takes the form of a geometric series, akin to the Born series of quantum mechanics. Conversely, we can define the Feynman diagram expansion as the Born series of a relativistic effective-one-body (EOB) Schr\"odinger equation. For a gravitational theory in this regime we observe that the EOB Schr\"odinger equation reduces to the Regge-Wheeler or Teukolsky wave equations. We make use of this understanding to study the tree-level Compton scattering off a Kerr black hole. We compute the scalar and photon Compton amplitude up to $O(a^{30})$ in the black hole spin $a$ and propose an all-order expression. Remarkably, we find that boundary terms, which are typically neglected, give non-zero contact pieces necessary for restoring crossing symmetry and gauge invariance of the Kerr-Compton amplitude.

[ { "created": "Wed, 19 Jun 2024 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 25 Jun 2024 22:09:47 GMT", "version": "v2" } ]

2024-06-27

[ [ "Correia", "Miguel", "" ], [ "Isabella", "Giulia", "" ] ]

We study the $2 \to 2$ scattering in the regime where the wavelength of the scattered objects is comparable to their distance but is much larger than any Compton wavelength in the quantum field theory. We observe that in this regime - which differs from the eikonal - the Feynman diagram expansion takes the form of a geometric series, akin to the Born series of quantum mechanics. Conversely, we can define the Feynman diagram expansion as the Born series of a relativistic effective-one-body (EOB) Schr\"odinger equation. For a gravitational theory in this regime we observe that the EOB Schr\"odinger equation reduces to the Regge-Wheeler or Teukolsky wave equations. We make use of this understanding to study the tree-level Compton scattering off a Kerr black hole. We compute the scalar and photon Compton amplitude up to $O(a^{30})$ in the black hole spin $a$ and propose an all-order expression. Remarkably, we find that boundary terms, which are typically neglected, give non-zero contact pieces necessary for restoring crossing symmetry and gauge invariance of the Kerr-Compton amplitude.

8.621898

8.95035

8.970315

8.382212

8.169262

8.551781

8.997833

7.995283

8.023384

9.315413

8.34678

8.066845

8.320346

8.152248

7.97049

8.264148

8.224709

8.389408

8.200142

8.450012

8.050014

hep-th/0309011

Jacob Sonnenschein

Stanislav Kuperstein, Jacob Sonnenschein

Analytic non-supersymmetric background dual of a confining gauge theory and the corresponding plane wave theory of Hadrons

26 pages, typos corrected; new appendix added

JHEP 0402 (2004) 015

10.1088/1126-6708/2004/02/015

TAUP-2746-03

hep-th

null

We find a regular analytic 1st order deformation of the Klebanov-Strassler background. From the dual gauge theory point of view the deformation describes supersymmetry soft breaking gaugino mass terms. We calculate the difference in vacuum energies between the supersymmetric and the non-supersymmetric solutions and find that it matches the field theory prediction. We also discuss the breaking of the $U(1)_R$ symmetry and the space-time dependence of the gaugino bilinears two point function. Finally, we determine the Penrose limit of the non-supersymmetric background and write down the corresponding plane wave string theory. This string describes ``annulons''-heavy hadrons with mass proportional to large global charge. Surprisingly the string spectrum has two fermionic zero modes. This implies that the sector in the non-supersymmetric gauge theory which is the dual of the annulons is supersymmetric.

[ { "created": "Sun, 31 Aug 2003 14:48:52 GMT", "version": "v1" }, { "created": "Tue, 7 Oct 2003 14:35:13 GMT", "version": "v2" }, { "created": "Tue, 28 Oct 2003 03:17:22 GMT", "version": "v3" }, { "created": "Thu, 25 Mar 2004 11:43:47 GMT", "version": "v4" } ]

2009-11-10

[ [ "Kuperstein", "Stanislav", "" ], [ "Sonnenschein", "Jacob", "" ] ]

We find a regular analytic 1st order deformation of the Klebanov-Strassler background. From the dual gauge theory point of view the deformation describes supersymmetry soft breaking gaugino mass terms. We calculate the difference in vacuum energies between the supersymmetric and the non-supersymmetric solutions and find that it matches the field theory prediction. We also discuss the breaking of the $U(1)_R$ symmetry and the space-time dependence of the gaugino bilinears two point function. Finally, we determine the Penrose limit of the non-supersymmetric background and write down the corresponding plane wave string theory. This string describes ``annulons''-heavy hadrons with mass proportional to large global charge. Surprisingly the string spectrum has two fermionic zero modes. This implies that the sector in the non-supersymmetric gauge theory which is the dual of the annulons is supersymmetric.

9.715441

8.707003

10.395177

8.596189

9.040896

9.142406

9.379601

9.401144

8.796566

11.955973

9.334347

9.437674

10.038644

9.564238

9.902055

9.734437

9.751459

9.412201

9.751732

9.73879

9.512563

hep-th/0209245

Jose M. Isidro

A.E. Faraggi, R. Garavuso, J.M. Isidro

Nonperturbative flipped SU(5) vacua in Horava-Witten theory

Invited talk presented by J.M.I. at the 1st International Conference on String Phenomenology, Oxford, 6-11 July 2002

null

10.1142/9789812704917_0022

null

hep-th hep-ph

null

There is good support for the embedding of the Standard Model fermions in the chiral 16 representation of SO(10). Such an embedding is provided by the realistic free fermionic heterotic-string models. In this talk we demonstrate the existence of solutions with 3 generations and SO(10) observable gauge group, in the case of compactification on a torus-fibred Calabi-Yau space over a Hirzebruch base surface. The SO(10)symmetry is broken to SU(5)xU(1) by a Wilson line. The overlap with the realistic free fermionic heterotic-string models is discussed.

[ { "created": "Fri, 27 Sep 2002 16:50:09 GMT", "version": "v1" } ]

2017-08-23

[ [ "Faraggi", "A. E.", "" ], [ "Garavuso", "R.", "" ], [ "Isidro", "J. M.", "" ] ]

There is good support for the embedding of the Standard Model fermions in the chiral 16 representation of SO(10). Such an embedding is provided by the realistic free fermionic heterotic-string models. In this talk we demonstrate the existence of solutions with 3 generations and SO(10) observable gauge group, in the case of compactification on a torus-fibred Calabi-Yau space over a Hirzebruch base surface. The SO(10)symmetry is broken to SU(5)xU(1) by a Wilson line. The overlap with the realistic free fermionic heterotic-string models is discussed.

7.191664

7.298079

7.042948

6.294093

6.776023

7.341773

7.094101

7.11649

6.483641

8.372279

6.489789

6.552197

7.026412

6.848616

6.327044

6.635543

6.574851

6.840374

6.77782

7.370592

6.645175

1011.1911

Dan Xie

Dimitri Nanopoulos, Dan Xie

More Three Dimensional Mirror Pairs

33 pages, 18 figures version2 minor corrections

JHEP 1105:071,2011

10.1007/JHEP05(2011)071

null

hep-th

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

We found a lot of new three dimensional N = 4 mirror pairs generalizing previous considerations on three dimensional generalized quiver gauge theories. We recovered almost all previous discovered mirror pairs with these constructions. One side of these mirror pairs are always the conventional quiver gauge theories. One of our result can also be used to determine the matter content and weakly coupled gauge groups of four dimensional N = 2 generalized quiver gauge theories derived from six dimensional A_N and D_N theory, therefore we explicitly constructed four dimensional S-duality pairs.

[ { "created": "Mon, 8 Nov 2010 21:01:22 GMT", "version": "v1" }, { "created": "Sat, 7 May 2011 06:41:51 GMT", "version": "v2" } ]

2011-05-23

[ [ "Nanopoulos", "Dimitri", "" ], [ "Xie", "Dan", "" ] ]

We found a lot of new three dimensional N = 4 mirror pairs generalizing previous considerations on three dimensional generalized quiver gauge theories. We recovered almost all previous discovered mirror pairs with these constructions. One side of these mirror pairs are always the conventional quiver gauge theories. One of our result can also be used to determine the matter content and weakly coupled gauge groups of four dimensional N = 2 generalized quiver gauge theories derived from six dimensional A_N and D_N theory, therefore we explicitly constructed four dimensional S-duality pairs.

20.189289

17.52655

20.197878

16.182602

17.874825

18.65741

17.901148

17.879488

17.023954

22.510368

16.230503

17.054781

18.311087

17.582481

18.00313

17.712996

17.174595

17.05871

17.29784

18.076708

17.334246

1803.08329

Anirban Basu

Supergravity limit of genus two modular graph functions in the worldline formalism

19 pages, 5 figures, LaTeX, v2: supersedes published version

null

10.1016/j.physletb.2018.06.005

null

hep-th

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

We consider the contributions upto the $D^{10} \mathcal{R}^4$ terms in the low momentum expansion of the two loop four graviton amplitude in maximal supergravity that arise in the field theory limit of genus two modular graph functions that result from the low momentum expansion of the four graviton amplitude in toroidally compactified type II string theory, using the worldline formalism of the first quantized superparticle. The expression for the two loop supergravity amplitude in the worldline formalism allows us to obtain contributions from the individual graphs, unlike the expression for the same amplitude obtained using unitarity cuts which only gives the total contribution from the sum of all the graphs. Our two loop analysis is field theoretic, and does not make explicit use of the genus two string amplitude.

[ { "created": "Thu, 22 Mar 2018 12:47:21 GMT", "version": "v1" }, { "created": "Thu, 21 Jun 2018 12:36:58 GMT", "version": "v2" } ]

2018-06-22

[ [ "Basu", "Anirban", "" ] ]

We consider the contributions upto the $D^{10} \mathcal{R}^4$ terms in the low momentum expansion of the two loop four graviton amplitude in maximal supergravity that arise in the field theory limit of genus two modular graph functions that result from the low momentum expansion of the four graviton amplitude in toroidally compactified type II string theory, using the worldline formalism of the first quantized superparticle. The expression for the two loop supergravity amplitude in the worldline formalism allows us to obtain contributions from the individual graphs, unlike the expression for the same amplitude obtained using unitarity cuts which only gives the total contribution from the sum of all the graphs. Our two loop analysis is field theoretic, and does not make explicit use of the genus two string amplitude.

9.281344

7.779421

10.419831

8.037458

7.867003

7.844733

7.928438

7.698738

7.853791

10.979579

7.47375

8.195254

9.4053

8.49931

8.390891

8.159702

8.238154

8.263158

8.33446

9.019363

8.395164

hep-th/9906228

Emilio Elizalde

Guido Cognola, Emilio Elizalde and Klaus Kirsten

Casimir Energies for Spherically Symmetric Cavities

18 pages, LaTeX, sub. Ann. Phys

J.Phys.A34:7311-7327,2001

10.1088/0305-4470/34/36/311

null

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

null

A general calculation of Casimir energies --in an arbitrary number of dimensions-- for massless quantized fields in spherically symmetric cavities is carried out. All the most common situations, including scalar and spinor fields, the electromagnetic field, and various boundary conditions are treated with care. The final results are given as analytical (closed) expressions in terms of Barnes zeta functions. A direct, straightforward numerical evaluation of the formulas is then performed, which yields highly accurate numbers of, in principle, arbitrarily good precision.

[ { "created": "Tue, 29 Jun 1999 12:04:35 GMT", "version": "v1" }, { "created": "Sun, 19 Aug 2001 10:09:20 GMT", "version": "v2" } ]

2008-11-26

[ [ "Cognola", "Guido", "" ], [ "Elizalde", "Emilio", "" ], [ "Kirsten", "Klaus", "" ] ]

A general calculation of Casimir energies --in an arbitrary number of dimensions-- for massless quantized fields in spherically symmetric cavities is carried out. All the most common situations, including scalar and spinor fields, the electromagnetic field, and various boundary conditions are treated with care. The final results are given as analytical (closed) expressions in terms of Barnes zeta functions. A direct, straightforward numerical evaluation of the formulas is then performed, which yields highly accurate numbers of, in principle, arbitrarily good precision.

11.368895

11.653179

11.943525

10.51905

10.485316

11.751167

12.09165

10.679248

11.06152

12.542488

10.707741

11.037178

11.666315

11.062325

10.56375

10.737258

10.539232

10.947828

10.823042

11.397445

10.722073

1512.07458

Minoru Eto

Minoru Eto and Muneto Nitta

Semilocal Fractional Instantons

20 pages, 10 figures, published version with minor changes

Journal of High Energy Physics, 2016(3), 1-20

10.1007/JHEP03(2016)067

YGHP-15-06

hep-th

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

We find semi-local fractional instantons of codimension four in Abelian and non-Abelian gauge theories coupled with scalar fields and the corresponding ${\mathbb C}P^{N-1}$ and Grassmann sigma models at strong gauge coupling. They are 1/4 BPS states in supersymmetric theories with eight supercharges, carry fractional (half) instanton charges characterized by the fourth homotopy group $\pi_4 (G/H)$, and have divergent energy in infinite spaces. We construct exact solutions for the sigma models and numerical solutions for the gauge theories. Small instanton singularity in sigma models is resolved at finite gauge coupling (for the Abelian gauge theory). Instantons in Abelian and non-Abelian gauge theories have negative and positive instantons charges, respectively, which are related by the Seiberg-like duality that changes the sign of the instanton charge.

[ { "created": "Wed, 23 Dec 2015 13:01:10 GMT", "version": "v1" }, { "created": "Wed, 23 Mar 2016 00:57:29 GMT", "version": "v2" } ]

2016-03-24

[ [ "Eto", "Minoru", "" ], [ "Nitta", "Muneto", "" ] ]

We find semi-local fractional instantons of codimension four in Abelian and non-Abelian gauge theories coupled with scalar fields and the corresponding ${\mathbb C}P^{N-1}$ and Grassmann sigma models at strong gauge coupling. They are 1/4 BPS states in supersymmetric theories with eight supercharges, carry fractional (half) instanton charges characterized by the fourth homotopy group $\pi_4 (G/H)$, and have divergent energy in infinite spaces. We construct exact solutions for the sigma models and numerical solutions for the gauge theories. Small instanton singularity in sigma models is resolved at finite gauge coupling (for the Abelian gauge theory). Instantons in Abelian and non-Abelian gauge theories have negative and positive instantons charges, respectively, which are related by the Seiberg-like duality that changes the sign of the instanton charge.

8.874386

7.621411

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8.374495

8.359749

10.504243

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8.753165

8.095463

8.043715

8.30328

8.028143

8.065204

8.202368

8.565976

8.038484

1707.08570

Ro Jefferson

Ro Jefferson and Robert C. Myers

Circuit complexity in quantum field theory

Corrected typo in eqs. (1.1) and (3.35). Added footnote on pg. 33, and additional references. Author name change

null

10.1007/JHEP10(2017)107

null

hep-th quant-ph

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

Motivated by recent studies of holographic complexity, we examine the question of circuit complexity in quantum field theory. We provide a quantum circuit model for the preparation of Gaussian states, in particular the ground state, in a free scalar field theory for general dimensions. Applying the geometric approach of Nielsen to this quantum circuit model, the complexity of the state becomes the length of the shortest geodesic in the space of circuits. We compare the complexity of the ground state of the free scalar field to the analogous results from holographic complexity, and find some surprising similarities.

[ { "created": "Wed, 26 Jul 2017 18:00:00 GMT", "version": "v1" }, { "created": "Mon, 23 Jul 2018 17:04:34 GMT", "version": "v2" } ]

2018-07-24

[ [ "Jefferson", "Ro", "" ], [ "Myers", "Robert C.", "" ] ]

Motivated by recent studies of holographic complexity, we examine the question of circuit complexity in quantum field theory. We provide a quantum circuit model for the preparation of Gaussian states, in particular the ground state, in a free scalar field theory for general dimensions. Applying the geometric approach of Nielsen to this quantum circuit model, the complexity of the state becomes the length of the shortest geodesic in the space of circuits. We compare the complexity of the ground state of the free scalar field to the analogous results from holographic complexity, and find some surprising similarities.

6.628091

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6.065744

6.025843

6.146301

5.533119

5.834035

7.588784

5.985405

5.801216

6.711025

6.05468

6.204755

6.048591

6.015363

6.098569

6.078889

6.66563

6.169738

hep-th/0602205

Yuxiao Liu

Li-Jie Zhang, Yu-Xiao Liu

Spinor field realizations of the non-critical $W_{2,4}$ string based on the linear $W_{1,2,4}$ algebra

10 pages, no figures, revtex4 style, accepted by Commun.Theor.Phys

Commun.Theor.Phys.46:675-678,2006

10.1088/0253-6102/46/4/023

null

hep-th

null

In this paper, we investigate the spinor field realizations of the $W_{2,4}$ algebra, making use of the fact that the $W_{2,4}$ algebra can be linearized through the addition of a spin-1 current. And then the nilpotent BRST charges of the spinor non-critical $W_{2,4}$ string were built with these realizations.

[ { "created": "Tue, 21 Feb 2006 09:06:41 GMT", "version": "v1" } ]

2008-11-26

[ [ "Zhang", "Li-Jie", "" ], [ "Liu", "Yu-Xiao", "" ] ]

In this paper, we investigate the spinor field realizations of the $W_{2,4}$ algebra, making use of the fact that the $W_{2,4}$ algebra can be linearized through the addition of a spin-1 current. And then the nilpotent BRST charges of the spinor non-critical $W_{2,4}$ string were built with these realizations.

7.867687

4.66624

7.989193

5.847285

5.745948

5.915428

6.163925

5.523252

5.474175

9.225521

5.777938

6.414854

7.690063

6.846375

6.815096

6.638928

6.866541

6.687434

6.705295

7.809109

6.627483

hep-th/0008172

Yaron Oz

Mohsen Alishahiha, Yaron Oz

Supergravity and "New" Six-Dimensional Gauge Theories

13 pages, latex; numerical coefficients fixed, conclusions unchanged, ref. added

Phys.Lett.B495:418-426,2000

10.1016/S0370-2693(00)01266-1

CERN-TH/2000-251

hep-th

null

In the first part of this letter, we analyse the supergravity dual descriptions of six-dimensional field theories realized on the worldvolume of (p,q) five-branes (OD5 theory). We show that in order for the low-energy gauge theory description to be valid the theta parameter must be rational. Irrational values of theta require a strongly coupled string description of the system at low-energy. We discuss the phase structure and deduce some properties of these theories. In the second part we construct and study the supergravity description of NS5-branes with two electric RR field, which provides a dual description of six-dimensional theories with several light open D-brane excitations.

[ { "created": "Tue, 22 Aug 2000 13:50:56 GMT", "version": "v1" }, { "created": "Wed, 13 Sep 2000 14:47:36 GMT", "version": "v2" } ]

2009-09-29

[ [ "Alishahiha", "Mohsen", "" ], [ "Oz", "Yaron", "" ] ]

In the first part of this letter, we analyse the supergravity dual descriptions of six-dimensional field theories realized on the worldvolume of (p,q) five-branes (OD5 theory). We show that in order for the low-energy gauge theory description to be valid the theta parameter must be rational. Irrational values of theta require a strongly coupled string description of the system at low-energy. We discuss the phase structure and deduce some properties of these theories. In the second part we construct and study the supergravity description of NS5-branes with two electric RR field, which provides a dual description of six-dimensional theories with several light open D-brane excitations.

13.374484

12.295743

15.296268

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12.40484

11.72597

12.248042

11.826312

11.603966

15.201971

12.06927

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11.877172

11.525328

12.204845

11.975378

12.031964

12.092454

11.740624

13.01133

11.884111

hep-th/9411110

Nina Byers

Nina Byers (Physics Dept., UCLA)

The Life and Times of Emmy Noether; contributions of E. Noether to particle physics

Replacement file has typographical and bibliographic corrections

null

UCLA/94/TEP/42

hep-th

null

The contributions of Emmy Noether to particle physics fall into two categories. One is given under the rubric of Noether's theorem, and the other may be described as her important contributions to modern mathematics. These are discussed along with an historical account of her work and what its impact has been. In addition a brief biography is given. (To be published in the Proceedings of the Int'l Conf. on The History of Original Ideas and Basic Discoveries in Particle Physics, Erice, Italy, 29 July - 4 Aug., 1994.)

[ { "created": "Tue, 15 Nov 1994 22:20:00 GMT", "version": "v1" }, { "created": "Wed, 23 Nov 1994 03:27:00 GMT", "version": "v2" } ]

2008-02-03

[ [ "Byers", "Nina", "", "Physics Dept., UCLA" ] ]

The contributions of Emmy Noether to particle physics fall into two categories. One is given under the rubric of Noether's theorem, and the other may be described as her important contributions to modern mathematics. These are discussed along with an historical account of her work and what its impact has been. In addition a brief biography is given. (To be published in the Proceedings of the Int'l Conf. on The History of Original Ideas and Basic Discoveries in Particle Physics, Erice, Italy, 29 July - 4 Aug., 1994.)

7.987928

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7.229007

7.607441

7.478338

2110.04090

Masud Chaichian

M. Chaichian, M. N. Mnatsakanova, M. Oksanen

Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product

32 pages

null

10.1016/j.nuclphysb.2022.115831

null

hep-th

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

We develop the Seiberg-Witten map using the gauge-covariant star product with the noncommutativity tensor $\theta^{\mu\nu}(x)$. The latter guarantees the Lorentz invariance of the theory. The usual form of this map and its other recent generalizations do not consider such a covariant star product. We construct the Seiberg-Witten map for the gauge parameter, the gauge field and the strength tensor to the first order in the noncommutativity parameter $\theta^{\mu\nu}(x)$. Prescription for the generalization of the map to higher orders is also given. Interestingly, the associativity of the covariant star product both in the first and second orders requires the same constraints, namely, on the $\theta^{\mu\nu}(x)$ and on the space-time connection. This fact suggests that the same constraints could be enough to ensure the associativity in all orders. The resulting Seiberg-Witten map applies both to the internal and space-time gauge theories. Comparisons with the Seiberg-Witten map based on other (non-covariant) star products are given and some characteristic properties are also presented. As an application, we consider the $GL(2, C)$ noncommutative gauge theory of gravitation, in which it is shown that the connection determines a space-time with symplectic structure (as proposed by Zumino et al [AIP Conf. Proc. 1200 (2010), 204, arXiv:0910.0459]). This example shows that the constraints required for the associativity of the gauge-covariant star product can be satisfied. The presented $GL(2, C)$ noncommutative gauge theory of gravitation is also compared to the one (given by Chamseddine [Phys. Rev. D 69 (2004), 024015, hep-th/0309166]) with non-covariant star product.

[ { "created": "Tue, 5 Oct 2021 13:35:40 GMT", "version": "v1" } ]

2022-06-01

[ [ "Chaichian", "M.", "" ], [ "Mnatsakanova", "M. N.", "" ], [ "Oksanen", "M.", "" ] ]

We develop the Seiberg-Witten map using the gauge-covariant star product with the noncommutativity tensor $\theta^{\mu\nu}(x)$. The latter guarantees the Lorentz invariance of the theory. The usual form of this map and its other recent generalizations do not consider such a covariant star product. We construct the Seiberg-Witten map for the gauge parameter, the gauge field and the strength tensor to the first order in the noncommutativity parameter $\theta^{\mu\nu}(x)$. Prescription for the generalization of the map to higher orders is also given. Interestingly, the associativity of the covariant star product both in the first and second orders requires the same constraints, namely, on the $\theta^{\mu\nu}(x)$ and on the space-time connection. This fact suggests that the same constraints could be enough to ensure the associativity in all orders. The resulting Seiberg-Witten map applies both to the internal and space-time gauge theories. Comparisons with the Seiberg-Witten map based on other (non-covariant) star products are given and some characteristic properties are also presented. As an application, we consider the $GL(2, C)$ noncommutative gauge theory of gravitation, in which it is shown that the connection determines a space-time with symplectic structure (as proposed by Zumino et al [AIP Conf. Proc. 1200 (2010), 204, arXiv:0910.0459]). This example shows that the constraints required for the associativity of the gauge-covariant star product can be satisfied. The presented $GL(2, C)$ noncommutative gauge theory of gravitation is also compared to the one (given by Chamseddine [Phys. Rev. D 69 (2004), 024015, hep-th/0309166]) with non-covariant star product.

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5.761657

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5.799304

5.735282

5.79118

5.934973

5.805911

hep-th/0311078

Kenichi Konishi

Non-Abelian Superconductors - Lessons from Supersymmetric Gauge Theories for QCD

Latex file, 11 eps figures, Talk at the "Confinement 2003", Riken, Tokyo, July 2003

null

IFUP-TH/2003/44

hep-th hep-lat

null

Much about the confinement and dynamical symmetry breaking in QCD might be learned from models with supersymmetry. In particular, models based on N=2 supersymmetric theories with gauge groups SU(N), SO(N) and $USp(2 N)$ and with various number of flavors, give deep dynamical hints about these phenomena. For instance, the BPS non-abelian monopoles can become the dominant degrees of freedom in the infrared due to quantum effects. Upon condensation (which can be triggered in these class of models by perturbing them with an adjoint scalar mass) they induce confinement with calculable pattern of dynamical symmetry breaking. This may occur either in a weakly interacting regime or in a strongly coupled regime (in the latter, often the low-energy degrees of freedom contain relatively non-local monopoles and dyons simultaneously and the system is near a nontrivial fixed-point). Also, the existence of sytems with BPS {\it non-abelian vortices} has been shown recently. These results point toward the idea that the ground state of QCD is a sort of dual superconductor of non-abelian variety.

[ { "created": "Sun, 9 Nov 2003 15:21:09 GMT", "version": "v1" } ]

2007-05-23

[ [ "Konishi", "Kenichi", "" ] ]

Much about the confinement and dynamical symmetry breaking in QCD might be learned from models with supersymmetry. In particular, models based on N=2 supersymmetric theories with gauge groups SU(N), SO(N) and $USp(2 N)$ and with various number of flavors, give deep dynamical hints about these phenomena. For instance, the BPS non-abelian monopoles can become the dominant degrees of freedom in the infrared due to quantum effects. Upon condensation (which can be triggered in these class of models by perturbing them with an adjoint scalar mass) they induce confinement with calculable pattern of dynamical symmetry breaking. This may occur either in a weakly interacting regime or in a strongly coupled regime (in the latter, often the low-energy degrees of freedom contain relatively non-local monopoles and dyons simultaneously and the system is near a nontrivial fixed-point). Also, the existence of sytems with BPS {\it non-abelian vortices} has been shown recently. These results point toward the idea that the ground state of QCD is a sort of dual superconductor of non-abelian variety.

11.99817

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10.618899

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10.692061

11.014681

10.651883

11.020781

10.761548

10.96785

10.737175

10.441257

11.391007

11.001879

2407.19924

Minsung Kho

Dongwook Ghim, Minsung Kho, Rak-Kyeong Seong

Combinatorial and Algebraic Mutations of Toric Fano 3-folds and Mass Deformations of 2d (0,2) Quiver Gauge Theories

12 pages, 4 figures, 5 tables

null

UNIST-MTH-24-RS-04, RIKEN-iTHEMS-Report-24

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

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

We argue that algebraic and combinatorial polytope mutations of Fano 3-folds can be identified with mass deformations of associated 2d (0,2) supersymmetric gauge theories realized by brane brick models. These are Type IIA brane configurations that realize a large family of 2d worldvolume theories on probe D1-branes at toric Calabi-Yau 4-folds. We show that brane brick models that are related by mass deformations associated to algebraic and combinatorial polytope mutations of Fano 3-folds have mesonic moduli spaces with the same number of generators. We show that mesonic flavor charges of these generators form convex reflexive lattice polytopes that are dual to the toric diagrams of the Fano 3-folds. The generating function of mesonic gauge invariant operators, also known as the Hilbert series of the mesonic moduli space, appears to be identical for such brane brick models under a particular refinement originating from the U(1)_R charges in the brane brick model following the mass deformation.

[ { "created": "Mon, 29 Jul 2024 12:01:07 GMT", "version": "v1" } ]

2024-07-30

[ [ "Ghim", "Dongwook", "" ], [ "Kho", "Minsung", "" ], [ "Seong", "Rak-Kyeong", "" ] ]

We argue that algebraic and combinatorial polytope mutations of Fano 3-folds can be identified with mass deformations of associated 2d (0,2) supersymmetric gauge theories realized by brane brick models. These are Type IIA brane configurations that realize a large family of 2d worldvolume theories on probe D1-branes at toric Calabi-Yau 4-folds. We show that brane brick models that are related by mass deformations associated to algebraic and combinatorial polytope mutations of Fano 3-folds have mesonic moduli spaces with the same number of generators. We show that mesonic flavor charges of these generators form convex reflexive lattice polytopes that are dual to the toric diagrams of the Fano 3-folds. The generating function of mesonic gauge invariant operators, also known as the Hilbert series of the mesonic moduli space, appears to be identical for such brane brick models under a particular refinement originating from the U(1)_R charges in the brane brick model following the mass deformation.

7.305928

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6.832253

7.239854

6.571396

10.148112

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6.90191

7.677966

6.790241

6.86823

7.03356

7.157531

6.908795

6.879189

7.914397

6.739224

hep-th/9402080

Costas Kounnas

C. Kounnas

Construction of Superstrings in Wormhole-Like Backgrounds

8 pages, no figures, preprint (Talk given at the International Europhysics Conference on High Energy Physics, Marseille, 22-28 July 1993) CERN-TH.7169/94 (Missprints corrected and title changed)

null

hep-th

null

We construct a class of superstring solutions in non trivial space-time. The existence of an $N=4$ world-sheet superconformal symmetry stabilizes our solutions under perturbative string loop corrections and implies in target space some unbroken space-time supersymmetries.

[ { "created": "Mon, 14 Feb 1994 15:28:04 GMT", "version": "v1" }, { "created": "Thu, 17 Feb 1994 09:19:08 GMT", "version": "v2" } ]

2008-02-03

[ [ "Kounnas", "C.", "" ] ]

We construct a class of superstring solutions in non trivial space-time. The existence of an $N=4$ world-sheet superconformal symmetry stabilizes our solutions under perturbative string loop corrections and implies in target space some unbroken space-time supersymmetries.

14.249538

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11.442315

12.397025

10.928569

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11.035058

19.04277

11.226837

12.184844

14.804918

12.308504

11.605282

11.805036

11.269596

12.390182

11.704904

15.052539

11.630766

1204.3882

Alexander Zhiboedov

Juan Maldacena and Alexander Zhiboedov

Constraining conformal field theories with a slightly broken higher spin symmetry

54 pages, 3 figures

null

10.1088/0264-9381/30/10/104003

null

hep-th cond-mat.str-el

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

We consider three dimensional conformal field theories that have a higher spin symmetry that is slightly broken. The theories have a large N limit, in the sense that the operators separate into single trace and multitrace and obey the usual large N factorization properties. We assume that the spectrum of single trace operators is similar to the one that one gets in the Vasiliev theories. Namely, the only single trace operators are the higher spin currents plus an additional scalar. The anomalous dimensions of the higher spin currents are of order 1/N. Using the slightly broken higher spin symmetry we constrain the three point functions of the theories to leading order in N. We show that there are two families of solutions. One family can be realized as a theory of N fermions with an O(N) Chern-Simons gauge field, the other as a N bosons plus the Chern-Simons gauge field. The family of solutions is parametrized by the 't Hooft coupling. At special parity preserving points we get the critical O(N) models, both the Wilson-Fisher one and the Gross-Neveu one. Our analysis also fixes the on shell three point functions of Vasiliev's theory on AdS_4 or dS_4.

[ { "created": "Tue, 17 Apr 2012 19:24:57 GMT", "version": "v1" } ]

2015-06-04

[ [ "Maldacena", "Juan", "" ], [ "Zhiboedov", "Alexander", "" ] ]

We consider three dimensional conformal field theories that have a higher spin symmetry that is slightly broken. The theories have a large N limit, in the sense that the operators separate into single trace and multitrace and obey the usual large N factorization properties. We assume that the spectrum of single trace operators is similar to the one that one gets in the Vasiliev theories. Namely, the only single trace operators are the higher spin currents plus an additional scalar. The anomalous dimensions of the higher spin currents are of order 1/N. Using the slightly broken higher spin symmetry we constrain the three point functions of the theories to leading order in N. We show that there are two families of solutions. One family can be realized as a theory of N fermions with an O(N) Chern-Simons gauge field, the other as a N bosons plus the Chern-Simons gauge field. The family of solutions is parametrized by the 't Hooft coupling. At special parity preserving points we get the critical O(N) models, both the Wilson-Fisher one and the Gross-Neveu one. Our analysis also fixes the on shell three point functions of Vasiliev's theory on AdS_4 or dS_4.

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6.416495

6.489861

6.75154

6.41618

2106.03342

Changhyun Ahn

Changhyun Ahn, Jaesung Hong, and Man Hea Kim

Fermionic Construction in the Supersymmetric Coset Model

17 pages

null

10.1142/S0217751X22500075

null

hep-th

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

It is known previously that the operator product expansion (OPE) between the first ${\cal N}=3 $ multiplet and itself contains the second ${\cal N}=3$ multiplet in the supersymmetric coset model. In this paper, by using their realizations in terms of various fermions, we compute the four kinds of OPEs between the first and the second ${\cal N}=3$ multiplets for fixed $N$ and $M$ where the group of the coset contains $SU(N+M)$. By supersymmetrizing the above OPEs in ${\cal N}=3$ superspace and using the various Jacobi identities between the currents, we determine the ${\cal N}=3$ supersymmetric OPE between the first and the second ${\cal N}=3$ multiplets completely. The right hand side of this OPE contains the various ${\cal N}=3$ multiplets: the $SO(3)$ singlet ${\cal N}=3$ multiplets of superspin-$\frac{3}{2},2,3,4$ and the $SO(3)$ triplet ${\cal N}=3$ multiplets of superspin-$\frac{5}{2},3,\frac{7}{2}$. The ${\cal N}=2$ superspace description and the decoupling of the spin-$\frac{1}{2}$ current of the ${\cal N}=3$ superconformal algebra are also described.

[ { "created": "Mon, 7 Jun 2021 05:10:53 GMT", "version": "v1" } ]

2022-03-14

[ [ "Ahn", "Changhyun", "" ], [ "Hong", "Jaesung", "" ], [ "Kim", "Man Hea", "" ] ]

It is known previously that the operator product expansion (OPE) between the first ${\cal N}=3 $ multiplet and itself contains the second ${\cal N}=3$ multiplet in the supersymmetric coset model. In this paper, by using their realizations in terms of various fermions, we compute the four kinds of OPEs between the first and the second ${\cal N}=3$ multiplets for fixed $N$ and $M$ where the group of the coset contains $SU(N+M)$. By supersymmetrizing the above OPEs in ${\cal N}=3$ superspace and using the various Jacobi identities between the currents, we determine the ${\cal N}=3$ supersymmetric OPE between the first and the second ${\cal N}=3$ multiplets completely. The right hand side of this OPE contains the various ${\cal N}=3$ multiplets: the $SO(3)$ singlet ${\cal N}=3$ multiplets of superspin-$\frac{3}{2},2,3,4$ and the $SO(3)$ triplet ${\cal N}=3$ multiplets of superspin-$\frac{5}{2},3,\frac{7}{2}$. The ${\cal N}=2$ superspace description and the decoupling of the spin-$\frac{1}{2}$ current of the ${\cal N}=3$ superconformal algebra are also described.

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