Off shell $\kappa$-symmetry of the superparticle and the spinning superparticle

TL;DR

This paper demonstrates that the spinorial local world-line -symmetry of the covariant superparticle remains abelian in an off-shell phase-space formulation, extending to the spinning superparticle.

Contribution

It reveals the abelian nature of -symmetry in off-shell formulations and generalizes the result to spinning superparticles.

Findings

-symmetry is abelian off-shell.

The result applies to the spinning superparticle.

Generalization to extended spinorial transformations.

Abstract

The spinorial local world-line $\kappa$-symmetry of the covariant Brink-Schwarz formulation of the 4-$D$ superparticle is abelian in an off-shell phase-space formulation. The result is shown to generalize to the extended spinorial transformations of the spinning superparticle.