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Anomalies on orbifolds. (English) Zbl 0971.81153
Summary: We review the form of the chiral anomaly on an \(S^1/\mathbb{Z}_2\) orbifold with chiral boundary conditions. The 4-divergence of the higher-dimensional current evaluated at a given point in the extra dimension is proportional to the probability of finding the chiral zero mode there. Nevertheless the anomaly, appropriately defined as the five-dimensional divergence of the current, lives entirely on the orbifold fixed planes and is independent of the shape of the zero mode. We show how to obtain these results in a simple way in terms of the properties of the Kaluza-Klein modes of the orbifold.

81T50 Anomalies in quantum field theory
81T20 Quantum field theory on curved space or space-time backgrounds
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