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Supertranslations call for superrotations

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arxiv 1102.4632 v2 pith:PS7KWHDV submitted 2011-02-22 gr-qc hep-th

Supertranslations call for superrotations

classification gr-qc hep-th
keywords algebraalgebrasdimensionsinfinitesimalsuperrotationssupertranslationsapplicationsasymptotically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincar\'e 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.

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Cited by 15 Pith papers

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