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Bulk and brane anomalies in six dimensions. (English) Zbl 1005.81044

Summary: We study anomalies of six-dimensional gauge theories compactified on orbifolds. In addition to the known bulk anomalies, brane anomalies appear on orbifold fixpoints in the case of chiral boundary conditions. At a fixpoint, where the bulk gauge group \(G\) is broken to a subgroup \(H\), the non-Abelian \(G\)-anomaly in the bulk reduces to an \(H\)-anomaly which depends in a simple manner on the chiral boundary conditions. We illustrate this mechanism by means of a SO(10) GUT model.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81T50 Anomalies in quantum field theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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