TWISTOR-LIKE SUPERPARTICLES REVISITED.

TL;DR

This paper revisits superparticle mechanics in various dimensions, presenting a geometrical, twistor-based formulation that is manifestly supersymmetric and avoids issues with Lagrange multipliers.

Contribution

It introduces a new superfield formulation of superparticles that is geometrically motivated and free from infinite reducible symmetries, extending supertwistor descriptions.

Findings

Provides a manifestly supersymmetric action in D=3,4,6

Eliminates Lagrange multiplier issues in superparticle models

Generalizes supertwistor approach to superparticle dynamics

Abstract

We consider a formulation of N=1 D=3,4 and 6 superparticle mechanics, which is manifestly supersymmetric on the worldline and in the target superspace. For the construction of the action we use only geometrical objects that characterize the embedding of the worldline superspace into the target superspace, such as target superspace coordinates of the superparticle and twistor components. The action does not contain the Lagrange multipliers which may cause the problem of infinite reducible symmetries, and, in fact, is a worldline superfield generalization of the supertwistor description of superparticle dynamics.