Deformations of Maxwell Superalgebras and Their Applications

TL;DR

This paper explores the deformations of Maxwell superalgebras in four and three dimensions, introduces new algebraic structures, and derives their Casimir operators, advancing the understanding of supersymmetric symmetries in electromagnetic backgrounds.

Contribution

It provides a comprehensive analysis of Lie algebra deformations of D=4 and D=3 Maxwell superalgebras and derives their Casimir operators using contraction methods.

Findings

Classification of all possible deformations of D=4 and D=3 Maxwell superalgebras.

Introduction of the D=3 Maxwell superalgebra and its deformations.

Complete set of Casimir operators derived for both superalgebras.

Abstract

We describe the Lie algebra deformations of D=4 Maxwell superalgebra that was recently introduced as the symmetry algebra of a kappa-symmetric massless superparticle in a supersymmetric constant electromagnetic background. Further we introduce the D=3 Maxwell superalgebra and present all its possible deformations. Finally the deformed superalgebras are used to derive via a contraction procedure the complete set of Casimir operators for D=4 and D=3 Maxwell superalgebras.