Global Aspects Of Gauged Wess-Zumino-Witten Models

Details Global Aspects Of Gauged Wess-Zumino-Witten Models Global Aspects Of Gauged Wess-Zumino-Witten Models

1994-11-17

arxiv.org/abs/hep-th/9411134v1

Commun.Math.Phys. 182 (1996) 1-32

Physics

High Energy Physics

High Energy Physics - Theory

62 pages, latex, no figures

Scientific paper

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.

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