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Centrally extended symmetry algebra of asymptotically Goedel spacetimes

Geoffrey Compere·Stephane Detournay
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Abstract

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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Geoffrey Compere, Stephane Detournay. 2009-03-28. Centrally extended symmetry algebra of asymptotically Goedel spacetimes. https://doi.org/10.1088/1126-6708%2F2007%2F03%2F098

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