Reducing the $N$ = 1, 10-d, \(E_8\) Gauge Theory over a Modified Flag Manifold

We present a split-like supersymmetric extension of the Standard Model which originates from a 10-d, N = 1, E8 gauge theory. The transition to four dimensions occurs after the dimensional reduction of the initial, higher-dimensional theory over the SU(3)/U(1)2 × Z3 space. Making use of the Wilson flux breaking mechanism, the resulting 4-d theory is an N = 1 SU(3)3 Grand Unified Theory. After the symmetry breaking of the SU(3)3 gauge group, the model is viewed as splitlike Supersymmetric Standard Model and, at the TeV scale and below, the model is treated as a two Higgs doublet model, producing the following results: top, bottom and light Higgs masses within the range given by the experiment and prediction of the unification (and first supersymmetry breaking) and (second) supersymmetry breaking scales at ∼1015 GeV and ∼1.5 TeV, respectively