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Centrally extended symmetry algebra of asymptotically Goedel spacetimes

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.

preprint2009arXivOpen access
Geoffrey CompereStephane Detournay
gr-qchep-th
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Geoffrey CompereStephane Detournay

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