A Note on Lie-Lorentz Derivatives
High Energy Physics - Theory
2009-11-07 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0206159,
title = {A Note on Lie-Lorentz Derivatives},
author = {Tomas Ortin},
journal= {arXiv preprint arXiv:hep-th/0206159},
year = {2009}
}
Comments
Latex2e, 9 pages, AMS fonts