Lack of trinification in Z3 orbifolds of the SO(32) heterotic string
Abstract
We report results relating to the trinification scenario in some explicit string constructions that contain SU(3)3 as a gauge symmetry. These models are obtained from symmetric Z3 orbifolds of the SO(32) heterotic string with one discrete Wilson line. We highlight the obstacles that were encountered: the absence of the usual Higgs sector that would break SU(3)3 SU(3)c × SU(2)L × U(1)Y; the presence of exotics that would generically befoul gauge coupling unification and lead to fractionally-charged states in the low energy spectrum.
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