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Mixed Anomaly




The adjective "mixed" usually refers to a mixture of a Gravitational Anomaly and Gauge Anomaly .

The anomaly usually appears as a Feynman Diagram with a Chiral Fermion running in the loop (a polygon) with ''n−k'' external Graviton s and ''k'' external Gauge Boson s attached to the loop where n=1+D/2 where D is the Spacetime dimension. Anomalies occur only in even spacetime dimensions. For example, the anomalies in the usual 4 spacetime dimensions arise from triangle Feynman diagrams.

General covariance and gauge symmetries are very important symmetries for the Consistency of the whole theory, and therefore all gravitational, gauge, and mixed anomalies must cancel out.