BRST-Fixed Points and Topological Conformal Symmetry

TL;DR

This paper investigates the fixed points of a twisted supersymmetric gauged Wess-Zumino-Witten model, revealing its reduction to a topological field theory related to 2D gravity, with generalizations for higher dimensions.

Contribution

It demonstrates how the BRST fixed points of the model lead to a simplified topological field theory, extending known results for the case n=2 to higher n.

Findings

Reduction of the model to a topological matter system for n=2

Generalization of the topological reduction for n ≥ 3

Connection to 2D gravity theories

Abstract

We study the twisted version of the supersymmetric $G/T=SU(n)/U(1)^{\otimes(n-1)} gauged Wess-Zumino-Witten model. By studying its fixed points under BRST transformation this model is shown to be reduced to a simple topological field theory, that is, the topological matter system in the K.Li's theory of 2 dimensional gravity for the case of $n=2$, and its generalization for $n \geq 3$.