English

Anomaly-safe discrete groups

High Energy Physics - Phenomenology 2015-04-15 v1 High Energy Physics - Theory

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.

Cite

@article{arxiv.1504.03470,
  title  = {Anomaly-safe discrete groups},
  author = {Mu-Chun Chen and Maximilian Fallbacher and Michael Ratz and Andreas Trautner and Patrick K. S. Vaudrevange},
  journal= {arXiv preprint arXiv:1504.03470},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-22T09:15:38.713Z