Gauged supersymmetric WZNW model using the BRST approach

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, know as the N = 1 Kazama-Suzuki coset construction.