A Note on the Relation between Different Forms of Superparticle Dynamics'

TL;DR

This paper presents a unified formulation of D=10 superparticle dynamics incorporating space-time and twistor variables, with a fully first-class constraint set allowing reduction to various known models.

Contribution

It introduces a new superparticle formulation with a flexible set of gauge conditions, unifying different superparticle models within a single framework.

Findings

Constraints are entirely first class, simplifying quantization.

The formulation can be reduced to Casalbuoni-Brink-Schwarz, spinning, or twistor particles.

Provides a versatile approach to superparticle dynamics.

Abstract

A formulation of $D\is 10$ superparticle dynamics is given that contain space-time and twistor variables. The set of constraints is entirely first class, and gauge conditions may be imposed that reduces the system to a Casalbuoni-Brink-Schwarz superparticle, a spinning particle or a twistor particle.