Classification of boundary gravitons in AdS3 gravity

We revisit the description of the space of asymptotically AdS<SUB>3</SUB> solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of metrics related by diffeomorphisms w...

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Detalles Bibliográficos
Autores principales: Garbarz, Alan Nicolás, Leston, Mauricio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Ciencias Exactas
Física
Black Holes
Global Symmetries
Models of Quantum Gravity
Space-Time Symmetries
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85254
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85254
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Black Holes
Global Symmetries
Models of Quantum Gravity
Space-Time Symmetries
spellingShingle Ciencias Exactas
Física
Black Holes
Global Symmetries
Models of Quantum Gravity
Space-Time Symmetries
Garbarz, Alan Nicolás
Leston, Mauricio
Classification of boundary gravitons in AdS3 gravity
topic_facet Ciencias Exactas
Física
Black Holes
Global Symmetries
Models of Quantum Gravity
Space-Time Symmetries
description We revisit the description of the space of asymptotically AdS<SUB>3</SUB> solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of metrics related by diffeomorphisms which do not approach the identity fast enough at the boundary. Orbits contain more than a single element and this fact manifests the global degrees of freedom of AdS<SUB>3</SUB> gravity, being each element of an orbit what we call boundary graviton. We show how this setup allows to learn features about the classical phase space that otherwise would be quite difficult. Most important are the proof of energy bounds and the characterization of boundary gravitons unrelated to BTZs and AdS<SUB>3</SUB>. In addition, it makes manifest the underlying mathematical structure of the space of solutions close to infinity. Notably, because of the existence of a symplectic form in each orbit, being this related with the usual Dirac bracket of the asymptotic charges, this approach is a natural starting point for the quantization of different sectors of AdS<SUB>3</SUB> gravity. We finally discuss previous attempts to quantize coadjoint orbits of the Virasoro group and how this is relevant for the formulation of AdS<SUB>3</SUB> quantum gravity.
format Articulo
Articulo
author Garbarz, Alan Nicolás
Leston, Mauricio
author_facet Garbarz, Alan Nicolás
Leston, Mauricio
author_sort Garbarz, Alan Nicolás
title Classification of boundary gravitons in AdS3 gravity
title_short Classification of boundary gravitons in AdS3 gravity
title_full Classification of boundary gravitons in AdS3 gravity
title_fullStr Classification of boundary gravitons in AdS3 gravity
title_full_unstemmed Classification of boundary gravitons in AdS3 gravity
title_sort classification of boundary gravitons in ads3 gravity
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/85254
work_keys_str_mv AT garbarzalannicolas classificationofboundarygravitonsinads3gravity
AT lestonmauricio classificationofboundarygravitonsinads3gravity
bdutipo_str Repositorios
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