Grand Unification with Anomalous U(1) Symmetry and Non-abelian Horizontal Symmetry
Abstract
Non-abelian horizontal symmetry has been considered to solve potentially SUSY flavor problem, but simple models are suffering from various problems. In this talk, we point out that (anomalous) U(1)A gauge symmetry solves all the problems in a natural way, especially, in the E6 grand unified theories. Combining the GUT scenario with anomalous U(1)A gauge symmetry, in which doublet-triplet splitting and natural gauge coupling unification are realized, and realistic quark and lepton mass matrices are obtained including bi-large neutrino mixings, complete E6* SU(3)H (or E6*SU(2)H) GUTs can be obtained, in which all the three generation quarks and leptons are unified into a single multiplet (27,3) (or two multiplets (27,2+1)). This talk is based on Ref.[1].
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