Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions

Details Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions

2006-10-26

arxiv.org/abs/gr-qc/0610130v4

Class.Quant.Grav.24:F15-F23,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 sign mistakes due to a change of conventions are corrected in section 2, none of the conclusions are affected, takes precede

Scientific paper

10.1088/0264-9381/24/5/F01 10.10

The symmetry algebra of asymptotically flat spacetimes at null infinity in
three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on
the circle with an abelian ideal of supertranslations. The associated charge
algebra is shown to admit a non trivial classical central extension of Virasoro
type closely related to that of the anti-de Sitter case.

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