Generalized Wigner-Inonu Contractions and Maxwell (Super)Algebras

TL;DR

This paper introduces a generalized contraction method for Lie (super)algebras, deriving D=4 Maxwell and Maxwell superalgebras, including extended versions with various internal symmetries and central charges.

Contribution

It develops a new class of algebra contractions that produce Maxwell (super)algebras, expanding the algebraic framework for supersymmetry and gauge theories.

Findings

Derived D=4 Maxwell algebra via generalized contraction.

Constructed two types of N-extended Maxwell superalgebras.

Presented algebraic structures with specific internal symmetries.

Abstract

We consider a class of generalized Inonu-Wigner contraction for semidirect product of two particularly related semisimple Lie (super)algebras. The special class of such contractions provides D=4 Maxwell algebra and recently introduced simple D=4 Maxwell superalgebra. Further we present two types of D=4 N-extended Maxwell superalgebras, the nonstandard one for any N with 1/2 N(N-1) central charges and the standard one, for even N=2k, with k(2k-1) internal symmetry generators.