*-Wars Episode I: The Phantom Anomaly
High Energy Physics - Theory
2009-11-07 v3
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 ) 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.
Cite
@article{arxiv.hep-th/0107199,
title = {*-Wars Episode I: The Phantom Anomaly},
author = {Ken Intriligator and Jason Kumar},
journal= {arXiv preprint arXiv:hep-th/0107199},
year = {2009}
}
Comments
20 pages. Added references and minor typos corrected