Covariance of the classical Brink-Schwarz superparticle

TL;DR

This paper demonstrates that the classical Brink-Schwarz superparticle can be formulated as a generalized AKSZ field theory within the Batalin-Vilkovisky framework, highlighting cohomological properties.

Contribution

It establishes a new perspective by modeling the superparticle as a generalized AKSZ theory using BV formalism and cohomology analysis.

Findings

Superparticle modeled as AKSZ theory

BV cohomology vanishes below degree -1

Provides a new geometric formulation

Abstract

We show that the classical Brink-Schwarz superparticle is a generalized AKSZ field theory. We work in the Batalin-Vilkovisky formalism: the main technical tool is the vanishing of Batalin--Vilkovisky cohomology below degree -1.