Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
General Relativity and Quantum Cosmology
2010-11-02 v4 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.gr-qc/0610130,
title = {Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions},
author = {Glenn Barnich and Geoffrey Compere},
journal= {arXiv preprint arXiv:gr-qc/0610130},
year = {2010}
}
Comments
4 sign mistakes due to a change of conventions are corrected in section 2, none of the conclusions are affected, takes precedence over published version, including corrigendum