Quantization of BMS3 orbits: A perturbative approach

Autores
Garbarz, Alan Nicolás; Leston, Mauricio
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We compute characters of the BMS group in three dimensions. The approach is the same as that performed by Witten in the case of coadjoint orbits of the Virasoro group in the eighties, within the large central charge approximation. The procedure involves finding a Poisson bracket between classical variables and the corresponding commutator of observables in a Hilbert space, explaining why we call this a quantization. We provide first a pedagogical warm up by applying the method to both SL(2, R) and Poincar´e3 groups. As for BMS3, our results coincide with the characters of induced representations recently studied in the literature. Moreover, we relate the ‘coadjoint representations’ with the induced representations.
Fil: Garbarz, Alan Nicolás. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. 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
Fil: Leston, Mauricio. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Materia
TEORIA CUANTICA DE CAMPOS
GRAVEDAD CUANTICA
TEORIAS CONFORMES
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:11336/21558
Acceder
id CONICETDig_ed809b2fa9014e6305ec585a68e96930
oai_identifier_str oai:ri.conicet.gov.ar:11336/21558
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Quantization of BMS3 orbits: A perturbative approachGarbarz, Alan NicolásLeston, MauricioTEORIA CUANTICA DE CAMPOSGRAVEDAD CUANTICATEORIAS CONFORMEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We compute characters of the BMS group in three dimensions. The approach is the same as that performed by Witten in the case of coadjoint orbits of the Virasoro group in the eighties, within the large central charge approximation. The procedure involves finding a Poisson bracket between classical variables and the corresponding commutator of observables in a Hilbert space, explaining why we call this a quantization. We provide first a pedagogical warm up by applying the method to both SL(2, R) and Poincar´e3 groups. As for BMS3, our results coincide with the characters of induced representations recently studied in the literature. Moreover, we relate the ‘coadjoint representations’ with the induced representations.Fil: Garbarz, Alan Nicolás. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. 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; ArgentinaFil: Leston, Mauricio. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaElsevier Science2016-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21558Garbarz, Alan Nicolás; Leston, Mauricio; Quantization of BMS3 orbits: A perturbative approach; Elsevier Science; Nuclear Physics B; 906; 5-2016; 133-1460550-3213CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0550321316000821info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nuclphysb.2016.02.038info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1507.00339info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:26:51Zoai:ri.conicet.gov.ar:11336/21558instacron: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:34982025-09-29 10:26:51.999CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantization of BMS3 orbits: A perturbative approach
title Quantization of BMS3 orbits: A perturbative approach
spellingShingle Quantization of BMS3 orbits: A perturbative approach
Garbarz, Alan Nicolás
TEORIA CUANTICA DE CAMPOS
GRAVEDAD CUANTICA
TEORIAS CONFORMES
title_short Quantization of BMS3 orbits: A perturbative approach
title_full Quantization of BMS3 orbits: A perturbative approach
title_fullStr Quantization of BMS3 orbits: A perturbative approach
title_full_unstemmed Quantization of BMS3 orbits: A perturbative approach
title_sort Quantization of BMS3 orbits: A perturbative approach
dc.creator.none.fl_str_mv Garbarz, Alan Nicolás
Leston, Mauricio
author Garbarz, Alan Nicolás
author_facet Garbarz, Alan Nicolás
Leston, Mauricio
author_role author
author2 Leston, Mauricio
author2_role author
dc.subject.none.fl_str_mv TEORIA CUANTICA DE CAMPOS
GRAVEDAD CUANTICA
TEORIAS CONFORMES
topic TEORIA CUANTICA DE CAMPOS
GRAVEDAD CUANTICA
TEORIAS CONFORMES
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 compute characters of the BMS group in three dimensions. The approach is the same as that performed by Witten in the case of coadjoint orbits of the Virasoro group in the eighties, within the large central charge approximation. The procedure involves finding a Poisson bracket between classical variables and the corresponding commutator of observables in a Hilbert space, explaining why we call this a quantization. We provide first a pedagogical warm up by applying the method to both SL(2, R) and Poincar´e3 groups. As for BMS3, our results coincide with the characters of induced representations recently studied in the literature. Moreover, we relate the ‘coadjoint representations’ with the induced representations.
Fil: Garbarz, Alan Nicolás. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. 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
Fil: Leston, Mauricio. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
description We compute characters of the BMS group in three dimensions. The approach is the same as that performed by Witten in the case of coadjoint orbits of the Virasoro group in the eighties, within the large central charge approximation. The procedure involves finding a Poisson bracket between classical variables and the corresponding commutator of observables in a Hilbert space, explaining why we call this a quantization. We provide first a pedagogical warm up by applying the method to both SL(2, R) and Poincar´e3 groups. As for BMS3, our results coincide with the characters of induced representations recently studied in the literature. Moreover, we relate the ‘coadjoint representations’ with the induced representations.
publishDate 2016
dc.date.none.fl_str_mv 2016-05
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/11336/21558
Garbarz, Alan Nicolás; Leston, Mauricio; Quantization of BMS3 orbits: A perturbative approach; Elsevier Science; Nuclear Physics B; 906; 5-2016; 133-146
0550-3213
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21558
identifier_str_mv Garbarz, Alan Nicolás; Leston, Mauricio; Quantization of BMS3 orbits: A perturbative approach; Elsevier Science; Nuclear Physics B; 906; 5-2016; 133-146
0550-3213
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0550321316000821
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nuclphysb.2016.02.038
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1507.00339
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
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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
_version_ 1844614270277386240
score 13.070432

Publicaciones similares