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A unified vectorlike gauge theory for quarks and leptons based on the group SU(6) is presented. All fermions are assigned to the fundamental representation 15 of SU(6). The resulting model is a natural generalization of a model proposed previously by us, and contains eight quark flavors. In the lepton sector, there are two charged heavy leptons and their associated neutrinos, in addition to the known leptons. The Weinberg angle is determined to be sin 2θW = 3/8. Brief discussion of the mechanism of the spontaneous breakdown of SU(6) and the fermion mass generation are given.
Inoue et al. (Mon,) studied this question.