Abstract
We present a construction of modular invariant partition functions for heterotic (0, 2) supersymmetric classical string vacua. This generalization of Gepner's construction yields GUT gauge groups E 6, SO(10), SU(5) and SU(3) × SU(2) × U(1) r , respectively. By calculating the massless spectrum of some of these models we find strong indications that they correspond to (0, 2) string vacua discussed recently in the context of CYM/LG phases.
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