Grand unification groups and charges of quarks and leptons

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Abstract
The ansatz which demands that there exists a four-charge (23, −13, 0, -1) multiplet yields a strong restriction on the search for a grand unification group, G=G1⊗G2⊗⋯⊗Gn⊗U(1). If the group is simple or semisimple, we have only two possibilities, SU(n) or SU(n)⊗SU(m).

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