Gauged WZW Models Via Equivariant Cohomology

Abstract

The problem of computing systematically the gauge invariant extension of WZW term through equivariant cohomology is addressed. The analysis done by Witten in the two-dimensional case is extended to the four-dimensional ones. While Cartan's model is used to find the anomaly cancelation condition. It is shown that the Weil model is more appropriated to find the gauge invariant extension of the WZW term. In the process we point out that Weil's and Cartan's models are also useful to stress some connections with the abelian anomaly.

arXiv comment10 pages, no figures

References in corpus (8)

• General Effective Actions
• Standard Model Gauging of the WZW Term: Anomalies, Global Currents and pseudo-Chern-Simons Interactions
• Topological Physics of Little Higgs Bosons
• Anomalies, Chern-Simons Terms and Chiral Delocalization in Extra Dimensions
• Gauged Wess-Zumino terms and Equivariant Cohomology
• Exact Equivalence of the D=4 Gauged Wess-Zumino-Witten Term and the D=5 Yang-Mills Chern-Simons Term
• SU(3)/SU(2): the simplest Wess-Zumino-Witten term
• On the general structure of gauged Wess-Zumino-Witten terms