$Z_3$ orbifold construction of $SU(3)^3$ GUT with $\sin^2θ_W^0=3/8$

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file of 13 pages

Scientific paper

10.1016/S0370-2693(03)00567-7

It is argued that a phenomenologically viable grand unification model from superstring is $SU(3)^3$, the simplest gauge group among the grand unifications of the electroweak hypercharge embedded in semi-simple groups. We construct a realistic 4D $SU(3)^3$ model with the GUT scale $\sin^2\theta_W^0= \frac38$ in a $Z_3$ orbifold with Wilson line(s). By two GUT scale vacuum expectation values, we obtain a rank 4 supersymmetric standard model below the GUT scale, and predict three more strange families.

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