Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-08-06
JHEP 0308 (2003) 010
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages
Scientific paper
10.1088/1126-6708/2003/08/010
We present $Z_3$ orbifold compactifications of $E_8\times E_8^\prime$ 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($\equiv $ three representations ${\bf 3,\bar 3,1}$) 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 $E_6$ and $E_8$ are given in terms of trits, establishing simple criteria for treating these low lying representations of exceptional groups.
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