Chern-Simons Supergravity in D=3 and Maxwell superalgebra

Abstract

We present the construction of the $D=3$ Chern-Simons supergravity action without cosmological constant from the minimal Maxwell superalgebra $s{\mathcal{M}}_3$. This superalgebra contains two Majorana fermionic charges and can be obtained from the $\mathfrak{osp}\left(2|1\right)\otimes \mathfrak{sp}\left(2\right)$ superalgebra using the abelian semigroup expansion procedure. The components of the Maxwell invariant tensor are explicitly derived.

v2, 14 pages, version accepted for publication in Physics Letters B

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