Non-Abelian Horizontal Symmetry and Anomalous U(1) Symmetry for Supersymmetric Flavor Problem

It is shown that using non-abelian horizontal gauge symmetry and anomalous U(1)_A symmetry in grand unified theory (GUT), the realistic quark and lepton mass matrices including large neutrino mixing angles can be obtained, while scalar fermion masses are degenerate enough to suppress various flavor changing neutral current (FCNC) processes, especially in E_6 GUT. Combining the Higgs sector in which doublet-triplet splitting is realized with generic interactions, a complete E_6*SU(3)_H GUT, in which three generation quark and leptons are unified into a single multiplet \Psi(27,3), is obtained