Covariant Phase Space Formulations of Superparticles and Supersymmetric WZW Models

TL;DR

This paper develops covariant phase space formulations for superparticles on group manifolds and extends these methods to supersymmetric Wess-Zumino-Witten models, providing a unified approach to their algebraic structures.

Contribution

It introduces new covariant phase space formulations for superparticles and generalizes them to supersymmetric WZW models, enhancing understanding of their algebraic frameworks.

Findings

Derived fundamental Poisson brackets for superparticles.

Established current algebras in the covariant framework.

Generalized formulations to supersymmetric WZW models.

Abstract

We present new covariant phase space formulations of superparticles moving on a group manifold, deriving the fundamental Poisson brackets and current algebras. We show how these formulations naturally generalise to the supersymmetric Wess-Zumino-Witten models.