Generalized Wigner--In\"on\"u contractions and Maxwell (super)algebras

Jerzy Lukierski

Informatics and Automation, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 194-201.

Résumé

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.

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