Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-14
Phys.Rev.D75:065007,2007
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 1 figure; title changed; text and figure improved; references added
Scientific paper
10.1103/PhysRevD.75.065007
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.
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