Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills

Supergravity backgrounds dual to a class of exactly marginal deformations of N = 4 supersymmetric Yang–Mills can be constructed through an SL(2, R) sequence of T-dualities and coordinate shifts. We apply this transformation to multicenter solutions and derive supergravity backgrounds describing the...

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Detalles Bibliográficos
Autores: Hernández Redondo, Rafael, Sfetsos, Konstadinos, Zoakos, Dimitrios
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/52159
Acceso en línea:https://hdl.handle.net/20.500.14352/52159
Access Level:acceso abierto
Palabra clave:53
Física-Modelos matemáticos
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spelling Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-MillsHernández Redondo, RafaelSfetsos, KonstadinosZoakos, Dimitrios53Física-Modelos matemáticosSupergravity backgrounds dual to a class of exactly marginal deformations of N = 4 supersymmetric Yang–Mills can be constructed through an SL(2, R) sequence of T-dualities and coordinate shifts. We apply this transformation to multicenter solutions and derive supergravity backgrounds describing the Coulomb branch of N = 1 theories at strong ’t Hooft coupling as marginal deformations of N = 4 Yang–Mills. For concreteness we concentrate to cases with an SO(4) ×SO(2) symmetry preserved by continuous distributions of D3-branes on a disc and on a three-dimensional spherical shell. We compute the expectation value of the Wilson loop operator and confirm the Coulombic behaviour of the heavy quark-antiquark potential in the conformal case. When the vev is turned on we find situations where a complete screening of the potential arises, as well as a confining regime where a linear or a logarithmic potential prevails depending on the ratio of the quark-antiquark separation to the typical vev scale. The spectra of massless excitations on these backgrounds are analyzed by turning the associated differential equations into Schr¨odinger problems. We find explicit solutions taking into account the entire tower of states related to the reduction of type-IIB supergravity to five dimensions, and hence we go beyond the s-wave approximation that has been considered before for the undeformed case. Arbitrary values of the deformation parameter give rise to the Heun differential equation and the related Inozemtsev integrable system, via a non-standard trigonometric limit as we explicitly demonstrate.Int School Advanced StudiesUniversidad Complutense de Madrid20062006-03-0120062006-03-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/52159reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/521592026-06-02T12:44:21Z
dc.title.none.fl_str_mv Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
title Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
spellingShingle Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
Hernández Redondo, Rafael
53
Física-Modelos matemáticos
title_short Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
title_full Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
title_fullStr Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
title_full_unstemmed Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
title_sort Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
dc.creator.none.fl_str_mv Hernández Redondo, Rafael
Sfetsos, Konstadinos
Zoakos, Dimitrios
author Hernández Redondo, Rafael
author_facet Hernández Redondo, Rafael
Sfetsos, Konstadinos
Zoakos, Dimitrios
author_role author
author2 Sfetsos, Konstadinos
Zoakos, Dimitrios
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Física-Modelos matemáticos
topic 53
Física-Modelos matemáticos
description Supergravity backgrounds dual to a class of exactly marginal deformations of N = 4 supersymmetric Yang–Mills can be constructed through an SL(2, R) sequence of T-dualities and coordinate shifts. We apply this transformation to multicenter solutions and derive supergravity backgrounds describing the Coulomb branch of N = 1 theories at strong ’t Hooft coupling as marginal deformations of N = 4 Yang–Mills. For concreteness we concentrate to cases with an SO(4) ×SO(2) symmetry preserved by continuous distributions of D3-branes on a disc and on a three-dimensional spherical shell. We compute the expectation value of the Wilson loop operator and confirm the Coulombic behaviour of the heavy quark-antiquark potential in the conformal case. When the vev is turned on we find situations where a complete screening of the potential arises, as well as a confining regime where a linear or a logarithmic potential prevails depending on the ratio of the quark-antiquark separation to the typical vev scale. The spectra of massless excitations on these backgrounds are analyzed by turning the associated differential equations into Schr¨odinger problems. We find explicit solutions taking into account the entire tower of states related to the reduction of type-IIB supergravity to five dimensions, and hence we go beyond the s-wave approximation that has been considered before for the undeformed case. Arbitrary values of the deformation parameter give rise to the Heun differential equation and the related Inozemtsev integrable system, via a non-standard trigonometric limit as we explicitly demonstrate.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-03-01
2006
2006-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/52159
url https://hdl.handle.net/20.500.14352/52159
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Int School Advanced Studies
publisher.none.fl_str_mv Int School Advanced Studies
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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