From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions

Autores
Del Pino, Simon; Giribet, Gaston Enrique; Tolosa, Adolfo; Zanelli, Jorge
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point non-minimally coupled to an additional scalar mode that gathers the torsion degree of freedom. In this setup, the effective cosmological constant (the inverse of the curvature radius of maximally symmetric solutions) is either negative or zero, and it enters as an integration constant associated to the value of the contorsion at infinity. We explain how this is not in conflict with the Zamolodchikov´s c-theorem holding in the dual boundary theory. In fact, we conjecture that the theory formulated about three-dimensional Anti-de Sitter space is dual to a two-dimensional conformal field theory whose right- and left-moving central charges are given by cR=24k and cL=0, respectively, being k the level of the Chern-Simons action. We study the classical theory both at the linear and non-linear level. In particular, we show how Chiral Gravity is included as a special sector. In addition, the theory has other sectors, which we explore; we exhibit analytic exact solutions that are not solutions of Topologically Massive Gravity (and, consequently, neither of General Relativity) and still satisfy Brown-Henneaux asymptotically AdS3 boundary conditions.
Fil: Del Pino, Simon. Pontificia Universidad Católica de Valparaíso; Chile
Fil: Giribet, Gaston Enrique. Université Libre de Bruxelles; Bélgica. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Pontificia Universidad Católica de Valparaíso; Chile
Fil: Tolosa, Adolfo. Pontificia Universidad Católica de Valparaíso; Chile. Centro de Estudios Científicos; Chile
Fil: Zanelli, Jorge. Centro de Estudios Científicos; Chile
Materia
Black holes
3D Gravity
AdS/CFT
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/44175
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensionsDel Pino, SimonGiribet, Gaston EnriqueTolosa, AdolfoZanelli, JorgeBlack holes3D GravityAdS/CFThttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point non-minimally coupled to an additional scalar mode that gathers the torsion degree of freedom. In this setup, the effective cosmological constant (the inverse of the curvature radius of maximally symmetric solutions) is either negative or zero, and it enters as an integration constant associated to the value of the contorsion at infinity. We explain how this is not in conflict with the Zamolodchikov´s c-theorem holding in the dual boundary theory. In fact, we conjecture that the theory formulated about three-dimensional Anti-de Sitter space is dual to a two-dimensional conformal field theory whose right- and left-moving central charges are given by cR=24k and cL=0, respectively, being k the level of the Chern-Simons action. We study the classical theory both at the linear and non-linear level. In particular, we show how Chiral Gravity is included as a special sector. In addition, the theory has other sectors, which we explore; we exhibit analytic exact solutions that are not solutions of Topologically Massive Gravity (and, consequently, neither of General Relativity) and still satisfy Brown-Henneaux asymptotically AdS3 boundary conditions.Fil: Del Pino, Simon. Pontificia Universidad Católica de Valparaíso; ChileFil: Giribet, Gaston Enrique. Université Libre de Bruxelles; Bélgica. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Pontificia Universidad Católica de Valparaíso; ChileFil: Tolosa, Adolfo. Pontificia Universidad Católica de Valparaíso; Chile. Centro de Estudios Científicos; ChileFil: Zanelli, Jorge. Centro de Estudios Científicos; ChileSpringer2015-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/44175Del Pino, Simon; Giribet, Gaston Enrique; Tolosa, Adolfo; Zanelli, Jorge; From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions; Springer; Journal of High Energy Physics; 2015; 6-2015; 13-191126-67081029-8479CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP06%282015%29113info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP06(2015)113info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1504.06083info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:25:18Zoai:ri.conicet.gov.ar:11336/44175instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:25:18.733CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
title From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
spellingShingle From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
Del Pino, Simon
Black holes
3D Gravity
AdS/CFT
title_short From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
title_full From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
title_fullStr From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
title_full_unstemmed From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
title_sort From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
dc.creator.none.fl_str_mv Del Pino, Simon
Giribet, Gaston Enrique
Tolosa, Adolfo
Zanelli, Jorge
author Del Pino, Simon
author_facet Del Pino, Simon
Giribet, Gaston Enrique
Tolosa, Adolfo
Zanelli, Jorge
author_role author
author2 Giribet, Gaston Enrique
Tolosa, Adolfo
Zanelli, Jorge
author2_role author
author
author
dc.subject.none.fl_str_mv Black holes
3D Gravity
AdS/CFT
topic Black holes
3D Gravity
AdS/CFT
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point non-minimally coupled to an additional scalar mode that gathers the torsion degree of freedom. In this setup, the effective cosmological constant (the inverse of the curvature radius of maximally symmetric solutions) is either negative or zero, and it enters as an integration constant associated to the value of the contorsion at infinity. We explain how this is not in conflict with the Zamolodchikov´s c-theorem holding in the dual boundary theory. In fact, we conjecture that the theory formulated about three-dimensional Anti-de Sitter space is dual to a two-dimensional conformal field theory whose right- and left-moving central charges are given by cR=24k and cL=0, respectively, being k the level of the Chern-Simons action. We study the classical theory both at the linear and non-linear level. In particular, we show how Chiral Gravity is included as a special sector. In addition, the theory has other sectors, which we explore; we exhibit analytic exact solutions that are not solutions of Topologically Massive Gravity (and, consequently, neither of General Relativity) and still satisfy Brown-Henneaux asymptotically AdS3 boundary conditions.
Fil: Del Pino, Simon. Pontificia Universidad Católica de Valparaíso; Chile
Fil: Giribet, Gaston Enrique. Université Libre de Bruxelles; Bélgica. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Pontificia Universidad Católica de Valparaíso; Chile
Fil: Tolosa, Adolfo. Pontificia Universidad Católica de Valparaíso; Chile. Centro de Estudios Científicos; Chile
Fil: Zanelli, Jorge. Centro de Estudios Científicos; Chile
description We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point non-minimally coupled to an additional scalar mode that gathers the torsion degree of freedom. In this setup, the effective cosmological constant (the inverse of the curvature radius of maximally symmetric solutions) is either negative or zero, and it enters as an integration constant associated to the value of the contorsion at infinity. We explain how this is not in conflict with the Zamolodchikov´s c-theorem holding in the dual boundary theory. In fact, we conjecture that the theory formulated about three-dimensional Anti-de Sitter space is dual to a two-dimensional conformal field theory whose right- and left-moving central charges are given by cR=24k and cL=0, respectively, being k the level of the Chern-Simons action. We study the classical theory both at the linear and non-linear level. In particular, we show how Chiral Gravity is included as a special sector. In addition, the theory has other sectors, which we explore; we exhibit analytic exact solutions that are not solutions of Topologically Massive Gravity (and, consequently, neither of General Relativity) and still satisfy Brown-Henneaux asymptotically AdS3 boundary conditions.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/44175
Del Pino, Simon; Giribet, Gaston Enrique; Tolosa, Adolfo; Zanelli, Jorge; From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions; Springer; Journal of High Energy Physics; 2015; 6-2015; 13-19
1126-6708
1029-8479
CONICET Digital
CONICET
url http://hdl.handle.net/11336/44175
identifier_str_mv Del Pino, Simon; Giribet, Gaston Enrique; Tolosa, Adolfo; Zanelli, Jorge; From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions; Springer; Journal of High Energy Physics; 2015; 6-2015; 13-19
1126-6708
1029-8479
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP06%282015%29113
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP06(2015)113
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1504.06083
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.48226

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