Anomaly-safe discrete groups

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.

11 pages

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• Duality Anomaly Cancellation, Minimal String Unification and the Effective Low-Energy Lagrangian of 4-D Strings
• Discrete R symmetries for the MSSM and its singlet extensions
• (Non-)Abelian discrete anomalies
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Cited by in corpus (2)

• Anomalous Discrete Flavor Symmetry and Domain Wall Problem
• Pocket Formulae for Non-Abelian Discrete Anomaly Freedom