Global Aspects Of Gauged Wess-Zumino-Witten Models

TL;DR

This paper investigates the topological effects in gauged Wess-Zumino-Witten models, expressing correlation functions as integrals over moduli spaces and revealing identities that relate different topological configurations.

Contribution

It introduces a novel approach to analyze topologically non-trivial gauge configurations using moduli space integrals and identities linking correlation functions across topologies.

Findings

Derived identities relating correlation functions for different topologies

Expressed correlation functions as integrals over moduli spaces of holomorphic bundles

Provided insights into the topological sum in partition and correlation functions

Abstract

A study of the gauged Wess-Zumino-Witten models is given focusing on the effect of topologically non-trivial configurations of gauge fields. A correlation function is expressed as an integral over a moduli space of holomorphic bundles with quasi-parabolic structure. Two actions of the fundamental group of the gauge group is defined: One on the space of gauge invariant local fields and the other on the moduli spaces. Applying these in the integral expression, we obtain a certain identity which relates correlation functions for configurations of different topologies. It gives an important information on the topological sum for the partition and correlation functions.