Nonreductive WZW models and their CFTs, II: N=1 and N=2 cosets

TL;DR

This paper explores the construction of N=1 and N=2 superconformal field theories from nonreductive Lie group-based WZW models, extending algebraic frameworks to self-dual Lie algebras.

Contribution

It extends supersymmetric Sugawara, coset, and Kazama--Suzuki constructions to self-dual Lie algebras within nonreductive WZW models.

Findings

Extended superconformal algebra constructions to self-dual Lie algebras.

Analyzed both gauged and ungauged supersymmetric WZW models.

Provided a systematic framework for N=1 and N=2 superconformal theories.

Abstract

In hep-th/9506151 we started a programme devoted to the systematic study of the conformal field theories derived from WZW models based on nonreductive Lie groups. In this, the 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 N=2 Kazama--Suzuki construction to general self-dual Lie algebras.