A Note on Lie-Lorentz Derivatives

Details A Note on Lie-Lorentz Derivatives A Note on Lie-Lorentz Derivatives

2002-06-18

arxiv.org/abs/hep-th/0206159v2

Class.Quant.Grav. 19 (2002) L143-L150

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 9 pages, AMS fonts

Scientific paper

10.1088/0264-9381/19/15/101

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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