Off-shell nilpotent (anti-)BRST symmetries for a free particle system on a toric geometry: superfield formalism

TL;DR

This paper develops off-shell nilpotent (anti-)BRST symmetry transformations for a free particle constrained on a torus using superfield formalism, and constructs a compatible gauge-fixed Lagrangian.

Contribution

It introduces a superfield approach to derive (anti-)BRST symmetries for a particle on a torus, extending the formalism to curved constrained systems.

Findings

Derived off-shell nilpotent (anti-)BRST transformations

Constructed a gauge-fixed Lagrangian respecting these symmetries

Extended superfield formalism to curved geometries

Abstract

We derive the off-shell nilpotent as well as absolutely anticommuting (anti-)BRST symmetry transformations, within the framework of superfield approach to BRST formalism, for a free particle system constrained to move on a torus. We also construct the most appropriate gauge-fixed Lagrangian which respects the (anti-)BRST symmetry transformations.