Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
- Cite this article as:
- Brown, J.D. & Henneaux, M. Commun.Math. Phys. (1986) 104: 207. doi:10.1007/BF01211590
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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 eitherR×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.