Phys. Rev. D 71, 095013 (2005) [8 pages]Grand unified theory based on the SU(6) symmetryReceived 20 February 2005; published 27 May 2005 We present a complete set of generators for the rank 5 special unitary group, SU(6), to unify strong, weak and electromagnetic interactions. The unification is realized through the breaking pattern of SU(6)→SU(3)C⊗SU(3)H⊗U(1)C followed by SU(3)H→SU(2)L⊗U(1)B. All known elementary particles and its quantum numbers are well accommodated in its {6} and {15} multiplets. These multiplets require a new neutral fermion which should be assigned as the heavy Majorana neutrino to realize the seesaw mechanism naturally. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.095013
DOI:
10.1103/PhysRevD.71.095013
PACS:
12.10.Dm, 11.30.−j, 12.60.Cn
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