Non-reductive WZW models and their CFTs (II). N = 1 and N = 2 cosets Original Research Article

In a previous paper, we started a programme devoted to the systematic study of the conformal field theories derived from WZW models based on non-reductive Lie groups. In this second part we continue this programme with a look at the N = 1 and N = 2 superconformal field theories which arise from both gauged and ungauged supersymmetric WZW models. We extend the supersymmetric (affine) Sugawara and coset constructions, as well as the Kazama-Suzuki construction to general self-dual Lie algebras.