arXiv:1504.03470·v1·High Energy Physics — Phenomenology
Anomaly-safe discrete groups
Mu-Chun Chen🇺🇸 · Maximilian Fallbacher🇩🇪 · Michael Ratz🇩🇪 · Andreas Trautner🇩🇪 · Patrick K.S. Vaudrevange🇩🇪
Abstract
We show that there is a class of finite groups, the so-called perfect groups, which cannot exhibit anomalies. This implies that all non-Abelian finite simple groups are anomaly-free. On the other hand, non-perfect groups generically suffer from anomalies. We present two different ways that allow one to understand these statements.
Comments: 11 pages