This article is cited in 29 papers

Generalized Wigner–Inönü contractions and Maxwell (super)algebras

Jerzy Lukierski

Institute for Theoretical Physics, University of Wrocłpaw, Wrocław, Poland

Abstract: We consider a class of generalized Wigner–Inönü contractions for the semidirect product of two particularly related semisimple Lie (super)algebras. A special class of such contractions provides the $D=4$ Maxwell algebra and the 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 $\frac12N(N-1)$ central charges and the standard one, for even $N=2k$, with $k(2k-1)$ internal symmetry generators.

UDC: 530.145+512

Received in December 2010

Language: English

 English version: Proceedings of the Steklov Institute of Mathematics, 2011, 272, 183–190

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