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)so(3,2) leads us to the Maxwell algebra MM. In this paper we extend this result to superalgebras, by proving that different choices of abelian semigroups S   lead to interesting D=4D=4 Maxwell Superalgebras. In particular, the minimal Maxwell superalgebra sMsM and the N  -extended Maxwell superalgebra sM(N)sM(N) recently found by the Maurer–Cartan expansion procedure, are derived alternatively as an S  -expansion of osp(4|N)osp(4|N). Moreover, we show that new minimal Maxwell superalgebras type sMm+2sMm+2 and their N-extended generalization can be obtained using the S-expansion procedure.