SU(3) trits of orbifolded E_8 x E_8' heterotic string and supersymmetric standard model

Abstract

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 $3,\bar{3},1$) 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.

26 pages

References in corpus (4)

• Dynkin diagram strategy for orbifolding with Wilson lines
• $Z_3$ orbifold construction of $SU(3{)}^3$ GUT with ${\sin }^2{\theta }_W^0=3/8$
• Three family $Z_3$ orbifold trinification, MSSM and doublet-triplet splitting problem
• Z_3 orbifolds of the SO(32) heterotic string: 1 Wilson line embeddings

Cited by in corpus (7)

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• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• The Higgs Mechanism in Heterotic Orbifolds
• Higgsino mass matrix ansatz for MSSM
• Dynamical $\mu$ and MSSM