Discrete anomalies of binary groups

2008/07/31 by Christoph Luhn
Physics and Astronomy · #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2008.11.025

published as Phys.Lett.B670:390-394,2009 · 13 pages, matches published version

openalex publication_date 2008/11/14 · arxiv created 2008/11/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We derive the discrete anomaly conditions for the binary tetrahedral group T' as well as the binary dihedral groups Q₂n. The ambiguities of embedding these finite groups into SU(2) and SU(3) lead to various possible definitions of the discrete indices which enter the anomaly equations. We scrutinize the different choices and show that it is sufficient to consider one particular assignment for the discrete indices. Thus it is straightforward to determine whether or not a given model of flavor is discrete anomaly free.

Citations

• Study of T' Flavor Symmetry
• Flavor symmetry for quarks and leptons
• Fermion masses and mixings from dihedral flavor symmetries with preserved subgroups
• (Non-)Abelian discrete anomalies