Centrally extended symmetry algebra of asymptotically Goedel spacetimes

Details Centrally extended symmetry algebra of asymptotically Goedel spacetimes Centrally extended symmetry algebra of asymptotically Goedel spacetimes

2007-01-05

arxiv.org/abs/hep-th/0701039v2

JHEP 0703:098,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, sign mistake corrected in the central charge, takes precedence over published version

Scientific paper

10.1088/1126-6708/2007/03/098

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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