Mapping outSU(5)grand unified theories with non-Abelian discrete flavor symmetries

Abstract

We construct a class of supersymmetric $SU(5)$ grand unified theory (GUT) models that produce nearly tribimaximal lepton mixing, the observed quark mixing matrix, and the quark and lepton masses, from discrete non-Abelian flavor symmetries. The $SU(5)$ GUTs are formulated on five-dimensional throats in the flat limit and the neutrino masses become small due to the type-I seesaw mechanism. The discrete non-Abelian flavor symmetries are given by semidirect products of cyclic groups that are broken at the infrared branes at the tip of the throats. As a result, we obtain $SU(5)$ GUTs that provide a combined description of non-Abelian flavor symmetries and quark-lepton complementarity.