Gauged supersymmetric WZNW model using the BRST approach

TL;DR

This paper develops a BRST-based framework for the supersymmetric WZNW model, establishing its connection to the N=1 Kazama-Suzuki coset construction and providing conditions for its nilpotency.

Contribution

It introduces a manifestly supersymmetric gauged WZNW model and derives the BRST charge, linking it to the supersymmetric coset construction.

Findings

Derived the BRST charge for the model

Established the nilpotency condition for the BRST charge

Connected the model to the N=1 Kazama-Suzuki coset construction

Abstract

We consider the supersymmetric WZNW model gauged in a manifestly supersymmetric way. We find the BRST charge and the necessary condition for nilpotency. In the BRST framework the model proves to be a Lagrangian formulation of the supersymmetric coset construction, known as the N=1 Kazama-Suzuki coset construction.