Heterotic Cosets

TL;DR

This paper presents a method to construct $(0,2)$ supersymmetric conformal field theories as coset models, which serve as backgrounds for Heterotic String Theory and include applications like black holes and Taub--NUT solutions.

Contribution

It introduces a novel construction of $(0,2)$ supersymmetric coset models combining gauged Wess--Zumino--Witten models with fermions, enabling new string theory backgrounds.

Findings

Models provide exact backgrounds for string theory.

Applications include extremal black holes and Taub--NUT solutions.

Framework allows construction of $(0,2)$ supersymmetric compactifications.

Abstract

A description is given of how to construct $(0,2)$ supersymmetric conformal field theories as coset models. These models may be used as non--trivial backgrounds for Heterotic String Theory. They are realised as a combination of an anomalously gauged Wess--Zumino--Witten model, right--moving supersymmetric fermions, and left--moving current algebra fermions. Requiring the sum of the gauge anomalies from the bosonic and fermionic sectors to cancel yields the final model. Applications discussed include exact models of extremal four--dimensional charged black holes and Taub--NUT solutions of string theory. These coset models may also be used to construct important families of $(0,2)$ supersymmetric Heterotic String compactifications. The Kazama--Suzuki models are the left--right symmetric special case of these models.