Supertranslations call for superrotations

Abstract

We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincaré algebra. In three and four dimensions, besides the infinitesimal supertranslations that have been known since the sixties, the algebras are evenly balanced because there are also infinitesimal superrotations. We provide the classification of central extensions of the bms3 and bms4 algebras. Applications and consequences as well as directions for future work are briefly indicated.

v2: minor cosmetic changes, 11 pages, Proceedings of the Workshop on Non Commutative Field Theory and Gravity, September 8-12, 2010, Corfu, Greece and the 7th Spring School and Workshop on Quantum Field Theory and Hamiltonian Systems, 10-15 May 2010, Craiova and Calimanesti, Romania

References in corpus (1)

• Asymptotic Structure of Symmetry Reduced General Relativity

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