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

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arxiv gr-qc/0610130 v4 pith:AVM6CKFJ submitted 2006-10-26 gr-qc hep-th

classification gr-qchep-th
keywords algebracentralclassicaldimensionsextensioninfinitynullthree
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The symmetry algebra of asymptotically flat spacetimes at null infinity in three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on the circle with an abelian ideal of supertranslations. The associated charge algebra is shown to admit a non trivial classical central extension of Virasoro type closely related to that of the anti-de Sitter case.

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