Anomaly inflow mechanism using Wilson line

Abstract

It is shown that the anomaly inflow mechanism can be implemented using Wilson line in odd dimensional gauge theories. An action of Wess-Zumino-Witten (WZW) type can be constructed using Wilson line. The action is understood in the odd dimensional bulk space-time rather than in the even dimensional boundary. This action is not gauge invariant. It gives anomalous gauge variations of the consistent form on boundary space-times. So it can be used to cancel the quantum anomalies localized on boundary space-times. This offers a new way to cancel the gauge anomaly and construct anomaly-free gauge theory in odd dimensional space-time.

4 pages, 1 figure; title changed; text and figure improved; references added

References in corpus (3)

• Anomalies, Chern-Simons Terms and Chiral Delocalization in Extra Dimensions
• Exact Equivalence of the D=4 Gauged Wess-Zumino-Witten Term and the D=5 Yang-Mills Chern-Simons Term
• WZW action in odd dimensional gauge theories

Cited by in corpus (2)

• Anomaly Holography, the Wess-Zumino-Witten Term, and Electroweak Symmetry Breaking
• Chern-Simons and WZW Anomaly Cancelations Across Dimensions