A new constraints separation for the original D=10 massless superparticle

TL;DR

This paper introduces a Lorentz covariant method to distinguish between first and second class constraints in the D=10 superparticle, revealing a supersymmetry-breaking separation that differs from traditional light-cone approaches.

Contribution

It presents a novel covariant approach to separating constraints in the D=10 superparticle, contrasting with existing light-cone frame methods and discussing implications for superstring theory.

Findings

Covariant separation of constraints is possible but breaks supersymmetry.

Contrasts with supersymmetric light-cone frame separation.

Implications for the D=10 superstring are discussed.

Abstract

We study the problem of covariant separation between first and second class constraints for the $D=10$ Brink-Schwarz superparticle. Opposite to the supersymmetric light-cone frame separation, we show here that there is a Lorentz covariant way to identify the second class constraints such that, however, supersymmetry is broken. Consequences for the $D=10$ superstring are briefly discussed.