Scale hierarchies, symmetry breaking, and particle spectra in SU(3)-family extended SUSY trinification
A unification of left-right SU(3)L×SU(3)R, color SU(3)C, and family SU(3)F symmetries in a maximal rank-8 subgroup of E8 is proposed as a landmark for future explorations beyond the Standard Model (SM). We discuss the implications of this scheme in a supersymmetric (SUSY) model based on the trinification gauge [SU(3)]3 and global SU(3)F-family symmetries. Among the key properties of this model are