Centrally extended symmetry algebra of asymptotically Goedel spacetimes

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.

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

References in corpus (1)

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

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