Geometrical formulation for the Siegel superparticle}

TL;DR

This paper presents a geometrical formulation of the Siegel superparticle, revealing its underlying superalgebra structure and demonstrating its equivalence to a locally symmetric model with off-shell supersymmetry.

Contribution

It introduces a new geometrical approach to the superparticle, clarifying its superalgebra structure and establishing equivalence with a locally symmetric model.

Findings

Superalgebra includes Poincaré superalgebra as a subalgebra

Model has off-shell closed gauge symmetries

Equivalent to the Siegel superparticle

Abstract

In the superspace $z^M = (x^\mu,\theta_R,\theta_L)$ the global symmetries for $d$ = 10 superparticle model with kinetic terms both for Bose and Fermi variables are shown to form a superalgebra, which includes the Poincar\'e superalgebra as a subalgebra. The subalgebra is realized in the space of variables of the theory by a nonstandard way. The local version of this model with off-shell closed Lagrangian algebra of gauge symmetries and off-shell global supersymmetry is presented. It is shown that the resulting model is dynamically equivalent to the Siegel superparticle.