Massive Superparticle with Tensorial Central Charges

TL;DR

This paper develops a Lorentz-invariant formulation of the massive superparticle in four dimensions with tensorial central charges, analyzing its symmetries and equivalences to spinning particles.

Contribution

It introduces a new Lorentz-invariant model with tensorial central charges and explores its $ppa$-symmetry structure and classical equivalence to spinning particles.

Findings

Model contains a real parameter k affecting $ppa$-symmetry

At k, the model has two $ppa$-symmetries; at k, one symmetry

Classical equivalence established with the massive D=4 spinning particle

Abstract

We construct the manifestly Lorenz-invariant formulation of the N=1 D=4 massive superparticle with tensorial central charges. The model contains a real parameter k and at $k\ne 0$ possesses one $\kappa$-symmetry while at k=0 the number of $\kappa$-symmetry is two. The equivalence of the formulations at all $k\ne 0$ is obtained. The local transformations of $\kappa$-symmetry are written out. It is considered the using of index spinor for construction of the tensorial central charges. It is obtained the equivalence at classical level between the massive D=4 superparticle with one $\kappa$-symmetry and the massive D=4 spinning particle