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

Abstract: 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 ga...

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Detalles Bibliográficos
Publicado: 2015
Materias:
AdS-CFT Correspondence
ChernSimons Theories
Field Theories in Lower Dimensions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n6_p_delPino
http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n6_p_delPino
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2015_n6_p_delPino
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spelling paper:paper_11266708_v2015_n6_p_delPino2023-06-08T16:08:41Z From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions AdS-CFT Correspondence ChernSimons Theories Field Theories in Lower Dimensions Abstract: 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 c<inf>R</inf> = 24k and c<inf>L</inf> = 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 AdS<inf>3</inf> boundary conditions. © 2015, The Author(s). 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n6_p_delPino http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n6_p_delPino
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic AdS-CFT Correspondence
ChernSimons Theories
Field Theories in Lower Dimensions
spellingShingle AdS-CFT Correspondence
ChernSimons Theories
Field Theories in Lower Dimensions
From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
topic_facet AdS-CFT Correspondence
ChernSimons Theories
Field Theories in Lower Dimensions
description Abstract: 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 c<inf>R</inf> = 24k and c<inf>L</inf> = 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 AdS<inf>3</inf> boundary conditions. © 2015, The Author(s).
title From Lorentz-Chern-Simons to Massive Gravity in 2+1 dimensions
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
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n6_p_delPino
http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n6_p_delPino
_version_ 1768544972238225408

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