Generalized Wigner-Inonu Contractions and Maxwell (Super)Algebras
Abstract
We consider a class of generalized Inonu-Wigner contraction for semidirect product of two particularly related semisimple Lie (super)algebras. The special class of such contractions provides D=4 Maxwell algebra and recently introduced simple D=4 Maxwell superalgebra. Further we present two types of D=4 N-extended Maxwell superalgebras, the nonstandard one for any N with 1/2 N(N-1) central charges and the standard one, for even N=2k, with k(2k-1) internal symmetry generators.
Keywords
Cite
@article{arxiv.1007.3405,
title = {Generalized Wigner-Inonu Contractions and Maxwell (Super)Algebras},
author = {Jerzy Lukierski},
journal= {arXiv preprint arXiv:1007.3405},
year = {2011}
}
Comments
10p; to appear in Proc. of Intern. Conference "Gauge Fields. Yesterday, Today, Tomorrow" dedicated to the 70-th birthday of Andrei A. Slavnov. Steklov Mathematical Institute, Moscow, Russia, January 2010; to be published in Proceedings of Steklov Institute of Russian Acad. of Science