Abstract
We construct a class of exactly solved (0,2) heterotic
compactifications, similar to the (2,2) models constructed by
Gepner. We identify these as special points in moduli spaces
containing geometric limits described by non-linear sigma models on
complete intersection Calabi--Yau spaces in toric varieties,
equipped with a bundle whose rank is strictly greater than that of
the tangent bundle. These moduli spaces do not in general contain a
locus exhibiting (2,2) supersymmetry. A quotient procedure at the
exactly solved point realizes the mirror isomorphism, as was the
case for Gepner models. We find a geometric interpretation of the
mirror duality in the context of hybrid models.
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