Three non-Abelian orbifolds of the SO(32) heterotic string now have complete massless spectra, with unbroken gauge groups U(1)^2 x SO(26), U(1) x SO(26), and SO(26), showing rank reduction from 16 to 15, 14, or 13.
Lack of trinification in Z_3 orbifolds of the SO(32) heterotic string
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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 Z_3 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 \to SU(3)_c \times SU(2)_L \times 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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Non-Abelian orbifolds of the SO(32) heterotic string
Three non-Abelian orbifolds of the SO(32) heterotic string now have complete massless spectra, with unbroken gauge groups U(1)^2 x SO(26), U(1) x SO(26), and SO(26), showing rank reduction from 16 to 15, 14, or 13.