Abstract
We discuss in detail if the three-generation Gepner model in string theory and some variants can lead to a low energy theory with phenomenological attractive features. Starting from an SU(3)3 gauge theory obtained at the compactification scale by Wilson line breaking from the E6, extensive use of (numerical) renormalization group methods allows for a detailed search for further symmetry breakings and the final low energy massless particle content. In most cases the 273 Yukawa couplings are kept as from the Gepner construction, but we allow for a variation of the other couplings related to radial variations of the corresponding Calabi-Yau manifold of Schimmrigk. The parametrization of soft supersymmetry breaking also induces some freedom. Nevertheless we have not found a parametrization of one of the model variants which simultaneously evades proton decay, has only the standard spectrum of light particles, a reasonable Weinberg angle and a heavy top.
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