Centrally extended symmetry algebra of asymptotically Goedel spacetimes

Geoffrey Compere; Stephane Detournay

Centrally extended symmetry algebra of asymptotically Goedel spacetimes

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arxiv hep-th/0701039 v2 pith:5YCPLPH7 submitted 2007-01-05 hep-th gr-qc

Geoffrey Compere , Stephane Detournay This is my paper

classification hep-thgr-qc

keywords algebrasymmetryalgebrasasymptoticcentrallychargesconservedextended

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We define an asymptotic symmetry algebra for three-dimensional Goedel spacetimes supported by a gauge field which turns out to be the semi-direct sum of the diffeomorphisms on the circle with two loop algebras. A class of fields admitting this asymptotic symmetry algebra and leading to well-defined conserved charges is found. The covariant Poisson bracket of the conserved charges is then shown to be centrally extended to the semi-direct sum of a Virasoro algebra and two affine algebras.

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