Superspace conformal field theory

TL;DR

This paper reviews recent advances in superspace conformal field theories, focusing on conformal sigma models and WZW models on coset superspaces, highlighting their construction, classification, and applications in string and condensed matter physics.

Contribution

It provides a comprehensive overview of the construction and classification of superspace conformal field theories and their integration into string theory.

Findings

Construction of WZW models on type I supergroups

Classification of conformal sigma models

Embedding into string theory

Abstract

Conformal sigma models and WZW models on coset superspaces provide important examples of logarithmic conformal field theories. They possess many applications to problems in string and condensed matter theory. We review recent results and developments, including the general construction of WZW models on type I supergroups, the classification of conformal sigma models and their embedding into string theory.