Chern-Simons Supergravity in D=3 and Maxwell superalgebra

TL;DR

This paper constructs a three-dimensional Chern-Simons supergravity action based on the Maxwell superalgebra, expanding the understanding of supergravity models without a cosmological constant.

Contribution

It introduces a novel superalgebra-based supergravity action derived from the minimal Maxwell superalgebra using the semigroup expansion method.

Findings

Explicit form of the Maxwell invariant tensor derived.

Supergravity action constructed without cosmological constant.

Superalgebra obtained from $ ext{osp}(2|1) imes sp(2)$ via semigroup expansion.

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.