Uniform Twistor-Like Formulation of Massive and Massless Superparticles with Tensorial Central Charges

TL;DR

This paper develops a Lorentz-invariant twistorial formulation for N=1 D=4 superparticles with tensorial central charges, unifying descriptions of massive and massless cases and analyzing their supersymmetry preservation.

Contribution

It introduces a novel twistorial approach using spinor variables and central charge coordinates for superparticles with tensorial charges, applicable to both massive and massless cases.

Findings

Massive superparticles preserve 1/4 or 1/2 of supersymmetries.

Massless superparticles preserve two or three supersymmetries.

The formulation is manifestly Lorentz-invariant and unifies massive and massless descriptions.

Abstract

We construct the manifestly Lorentz-invariant twistorial formulation of N=1 D=4 superparticle with tensorial central charges which describes massive and massless cases in a uniform manner. The tensorial central charges are realized in terms of even spinor variables and central charge coordinates. The full analysis of the number of conserved supersymmetries has been carried out. In the massive case the superparticle preserves 1/4 or 1/2 of target-space supersymmetries whereas the massless superparticle preserves two or three supersymmetries.