Gauge extension of non-Abelian discrete flavor symmetry

Abstract

We investigate a gauge theory realization of non-Abelian discrete flavor symmetries and apply the gauge enhancement mechanism in heterotic orbifold models to field-theoretical model building. Several phenomenologically interesting non-Abelian discrete symmetries are realized effectively from a $U(1)$ gauge theory with a permutation symmetry. We also construct a concrete model for the lepton sector based on a $U(1{)}^2⋊S_3$ symmetry.

arXiv comment18 pages, 1 figure

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• Delta(54) flavor phenomenology and strings