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A Note on Lie-Lorentz Derivatives

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arxiv hep-th/0206159 v2 pith:BOOVSWI5 submitted 2002-06-18 hep-th gr-qc

classification hep-thgr-qc
keywords derivativeextendedkillinglie-lorentzspinorssupersymmetryactionalgebras
verification ladder T0 review T1 audit T2 compute T3 formal

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The definition of ``Lie derivative'' of spinors with respect to Killing vectors is extended to all kinds of Lorentz tensors. This Lie-Lorentz derivative appears naturally in the commutator of two supersymmetry transformations generated by Killing spinors and vanishes for Vielbeins. It can be identified as the generator of the action of isometries on supergravity fields and its use for the calculation of supersymmetry algebras is revised and extended.

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Cited by 9 Pith papers

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