Anomaly-safe discrete groups
Mu–Chun Chen, Maximilian Fallbacher, Michael Ratz, Andreas Trautner, Patrick K. S. Vaudrevange · Physics Letters B · 2015
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.