BRST analysis of the gauged SU(2) WZW model and Darboux's transformations

TL;DR

This paper applies BRST analysis to the gauged SU(2) WZW model and demonstrates how Darboux's transformations can produce BRST-invariant fields, extending the approach to spinor electrodynamics.

Contribution

It introduces a novel application of Darboux's transformations within BRST analysis for gauged WZW models and spinor electrodynamics.

Findings

Darboux's transformations diagonalize the canonical one-form in the Faddeev-Jackiw formalism.

Fields are transformed into BRST-invariant quantities.

The method is successfully extended to spinor electrodynamics.

Abstract

The four dimensional SU(2) WZW model coupled to elecromagnetism is treated as a constraint system in the context of the BFV approach. We show that the Darboux's transformations which are used to diagonalize the canonical one-form in the Faddeev-Jackiw formalism, transform the fields of the model into BRST invariant ones. The same analysis is also carried out in the case of spinor electrodynamics.