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arXiv · 1504.03470

Anomaly-safe discrete groups

Mu-Chun Chen·Maximilian Fallbacher·Michael Ratz·Andreas Trautner·Patrick K. S. Vaudrevange
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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.

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Mu-Chun Chen, Maximilian Fallbacher, Michael Ratz, Andreas Trautner, Patrick K. S. Vaudrevange. 2015-04-14. Anomaly-safe discrete groups. https://arxiv.org/abs/1504.03470

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