The topological meaning of non-abelian anomalies |
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Authors: | L Alvarez-Gaumé P Ginsparg |
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Institution: | Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA |
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Abstract: | We show how the non-abelian anomaly for gauge fields coupled to Weyl fermions in 2n dimensions is related to the non-trivial topology of gauge orbit space. The form of the anomaly and its normalization are shown to follow from a familiar index theorem for a certain (2n + 2)-dimensional Dirac operator. We are thus able to recover and give topological meaning to a variety of results concerning anomalies in 4- and higher-dimensional theories. |
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