Discrete Anomalies of Binary Groups

Abstract

We derive the discrete anomaly conditions for the binary tetrahedral group T' as well as the binary dihedral groups Q_2n. 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.

13 pages, matches published version

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Cited by in corpus (12)

• Group Theoretical Origin of CP Violation
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• Large θ_13 in a SUSY SU(5)xT' Model
• The Cabibbo Angle in a Supersymmetric D14 Model
• "Heterotic" Discrete Flavor Model
• LHC Higgs Production and Decay in the T' Model
• Revisiting Leptogenesis in a SUSY SU(5) x T' Model of Flavour
• Flavor from the double tetrahedral group without supersymmetry: flavorful axions and neutrinos
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Flavor from the double tetrahedral group without supersymmetry
• A Classification and Analysis of Higgs-flavor Models