Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
type: Item
instance of: scholarly article
title: Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
zbMATH Open document ID: 0584.53039
DOI: 10.1007/BF01211590
author: B. George
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: It is shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level. This is done by studying three dimensional gravity with a negative cosmological constant. The asymptotic symmetry group in that case is either \(R\times SO(2)\) or the pseudo-conformal group in two dimensions, depending on the boundary conditions adopted at spatial infinity. In the latter situation, a nontrivial central charge appears in the algebra of the canonical generators, which turns out to be just the Virasoro central charge.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C99
Mathematics Subject Classification ID: 83C30
zbMATH DE Number: 3935915
zbMATH Keywords: gauge theory
zbMATH Keywords: asymptotic symmetry algebra
zbMATH Keywords: cosmological constant
zbMATH Keywords: spatial infinity
zbMATH Keywords: central charge
Wikidata QID: Q56049431
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3935915