Anomaly-safe discrete groups

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

doi:10.1016/j.physletb.2015.05.047

Physics Letters B (Jul 2015)

Anomaly-safe discrete groups

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

Affiliations

Mu-Chun Chen: Department of Physics and Astronomy, University of California, Irvine, CA 92697-4575, USA
Maximilian Fallbacher: Physik–Department T30, Technische Universität München, James–Franck–Straße 1, 85748 Garching, Germany
Michael Ratz: Physik–Department T30, Technische Universität München, James–Franck–Straße 1, 85748 Garching, Germany
Andreas Trautner: Physik–Department T30, Technische Universität München, James–Franck–Straße 1, 85748 Garching, Germany
Patrick K.S. Vaudrevange: Excellence Cluster Universe, Boltzmannstraße 2, 85748 Garching, Germany

DOI: https://doi.org/10.1016/j.physletb.2015.05.047
Journal volume & issue: Vol. 747, no. C
pp. 22 – 26

Abstract

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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.

Published in Physics Letters B

ISSN: 0370-2693 (Print); 1873-2445 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/physics-letters-b/

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