The spinning particle with curved target

TL;DR

This paper extends the BV cohomology analysis of the spinning particle to curved target spaces with non-trivial metrics and magnetic fields, broadening the understanding of its geometric and physical properties.

Contribution

It generalizes previous flat target space results to curved pseudo-Riemannian manifolds with magnetic fields, providing new insights into the model's geometric structure.

Findings

BV cohomology computed for curved targets

Inclusion of magnetic field effects

Extension from flat to curved geometries

Abstract

We extend our previous calculation [arXiv:1511.02135] of the BV cohomology of the spinning particle with a flat target to the general case, in which the target carries a non-trivial pseudo-Riemannian metric and a magnetic field.