Higher-Rank Supersymmetry and Topological Field Theory

TL;DR

This paper explores the extension of twisting minimal superconformal models to higher-rank supersymmetry within a Lie theoretic framework, advancing the understanding of topological field theories.

Contribution

It introduces a Lie theoretic extension of the twisting process for superconformal models, broadening the scope of topological conformal field theories.

Findings

Extended the twisting procedure to higher-rank supersymmetry.

Established a Lie theoretic framework for topological field theories.

Provided new insights into the structure of superconformal models.

Abstract

The $N=2$ minimal superconformal model can be twisted yielding an example of topological conformal field theory. In this article we investigate a Lie theoretic extension of this process.