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arXiv · hep-th/0107199

*-Wars Episode I: The Phantom Anomaly

Ken Intriligator·Jason Kumar
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Abstract

As pointed out, chiral non-commutative theories exist, and examples can be constructed via string theory. Gauge anomalies require the matter content of individual gauge group factors, including U(1) factors, to be non-chiral. All ``bad'' mixed gauge anomalies, and also all ``good'' (e.g. for $π^0\to γγ$) ABJ type flavor anomalies, automatically vanish in non-commutative gauge theories. We interpret this as being analogous to string theory, and an example of UV/IR mixing: non-commutative gauge theories automatically contain ``closed string,'' Green-Schwarz fields, which cancel these anomalies.

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Ken Intriligator, Jason Kumar. 2002-02-12. *-Wars Episode I: The Phantom Anomaly. https://doi.org/10.1016/s0550-3213(01)00555-7

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