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Abstract
Explicit SU(3) × SU(2) × U(1) Y four-dimensional string models are obtained from compactification of the heterotic string on the Z 3 orbifold. The presence of a Fayet-Iliopoulos term, associated with an “anomalous” U(1), plays a crucial role in the symmetry breaking process. In the example presented here the spectrum of light particles is remarkably close to that of the standard model. It contains three generations of the standard particles, with the correct representations under SU(3) × SU(2) × U(1) Y , and all the extra colour triplets, which could mediate fast proton decay, become naturally massive. Finally, there is a true (not mixed) hidden sector. Despite these attractive facts the model still has some problems (related to renormalization group equations and fermion masses), which may be cured in other examples.
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