SU(3) trits of orbifolded E₈ x E₈' heterotic string and supersymmetric standard model

الأصل · EN

We present Z₃ orbifold compactifications of E₈× E₈′ heterotic string with three Wilson lines, resulting to the maximum number of SU(3) factors. Here, all the matter spectrums are in the SU(3) trits(≡ three representations 3, 3,1) of the SU(3)⁸ GUT. Using this information, we show how three family supersymmetric standard models(SSM) can be obtained. Also, the low lying interesting representations(fundamental and adjoint) of E₆ and E₈ are given in terms of trits, establishing simple criteria for treating these low lying representations of exceptional groups.