Quantization of BMS3 orbits: A perturbative approach

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 va...

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Autores principales: Garbarz, A., Leston, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05503213_v906_n_p133_Garbarz
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_05503213_v906_n_p133_Garbarz2023-10-03T15:34:24Z Quantization of BMS3 orbits: A perturbative approach Garbarz, A. Leston, M. 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 Poincaré3 groups. As for BMS3, our results coincide with the characters of induced representations recently studied in the literature. Moreover, we relate the 'coadjoint representations' to the induced representations. © 2016 The Authors. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_05503213_v906_n_p133_Garbarz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
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 Poincaré3 groups. As for BMS3, our results coincide with the characters of induced representations recently studied in the literature. Moreover, we relate the 'coadjoint representations' to the induced representations. © 2016 The Authors.
format JOUR
author Garbarz, A.
Leston, M.
spellingShingle Garbarz, A.
Leston, M.
Quantization of BMS3 orbits: A perturbative approach
author_facet Garbarz, A.
Leston, M.
author_sort Garbarz, A.
title Quantization of BMS3 orbits: A perturbative approach
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
url http://hdl.handle.net/20.500.12110/paper_05503213_v906_n_p133_Garbarz
work_keys_str_mv AT garbarza quantizationofbms3orbitsaperturbativeapproach
AT lestonm quantizationofbms3orbitsaperturbativeapproach
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