Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplings

Details Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplings Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplings

2003-01-23

arxiv.org/abs/hep-th/0301174v1

Int.J.Mod.Phys. A19 (2004) 613

Physics

High Energy Physics

High Energy Physics - Theory

16 pages. LaTex

Scientific paper

We propose an exact expression for the unintegrated form of the star gauge invariant axial anomaly in an arbitrary even dimensional gauge theory. The proposal is based on the inverse Seiberg-Witten map and identities related to it, obtained earlier by comparing Ramond-Ramond couplings in different decsriptions. The integrated anomalies are expressed in terms of a simplified version of the Elliott formula involving the noncommutative Chern character. These anomalies, under the Seiberg-Witten transformation, reduce to the ordinary axial anomalies. Compatibility with existing results of anomalies in noncommutative theories is established.

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