Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds

TL;DR

This paper introduces the SuperMaxwell algebra, an extension of superPoincare algebra incorporating Maxwell symmetries, and constructs a superparticle model that realizes this algebra in a constant gauge background.

Contribution

It presents the minimal N=1, D=4 SuperMaxwell algebra and a new kappa-invariant superparticle model realizing this algebra dynamically.

Findings

SuperMaxwell algebra extends superPoincare with Maxwell symmetries.

A new superparticle model invariant under the SuperMaxwell algebra.

The model describes supersymmetries in a constant Abelian SUSY background.

Abstract

We present SuperMaxwell algebra: an N=1, D=4 algebra with two Majorana supercharges, obtained as the minimal enlargement of superPoincare containing the Maxwell algebra as a subalgebra. The new superalgebra describes the supersymmetries of generalized N=1, D=4 superspace in the presence of a constant Abelian SUSY field strength background. Applying the techniques of non-linear coset realization to the Maxwell supergroup we propose a new kappa-invariant massless superparticle model providing a dynamical realization of the SuperMaxwell algebra.