Three family Z3 orbifold trinification, MSSM and doublet-triplet splitting problem
Abstract
A Z3 orbifold compactification of E8× E8 heterotic string is considered toward a trinification SU(3)3 with three light families. The GUT scale VEV's of the SU(2)W× U(1)Y× SU(3)c singlet chiral fields in two sets of the trinification spectrum allow an acceptable symmetry breaking pattern toward MSSM. We show that a doublet-triplet splitting is related to the absence of a B nonzero operator.
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