Maxwell superalgebras and Abelian semigroup expansion

The Abelian semigroup expansion is a powerful and simple method to derive new Lie algebras from a given one. Recently it was shown that the S-expansion of so (3, 2) leads us to the Maxwell algebra M. In this paper we extend this result to superalgebras, by proving that different choices of abelian semigroups S lead to interesting D = 4 Maxwell Superalgebras. In particular, the minimal Maxwell superalgebra s M and the N-extended Maxwell superalgebra s M-(N) recently found by the Maurer-Cartan expansion procedure, are derived alternatively as an S-expansion of osp(4 vertical bar N). Moreover, we show that new minimal Maxwell superalgebras type sM(m+2) and their N-extended generalization can be obtained using the S-expansion procedure. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).