  Using the method of simple current extensions, asymmetric Gepner models of
Type IIB with N=1 space-time supersymmetry are constructed. The combinatorics
of the massless vector fields suggests that these classical Minkowski string
vacua provide fully backreacted solutions corresponding to N=1 minima of N=2
gauged supergravity. The latter contain abelian gaugings along the axionic
isometries in the hypermultiplet moduli space, and can be considered as Type
IIB flux compactifications on Calabi-Yau manifolds equipped with
(non-)geometric fluxes. For a particular class of asymmetric Gepner models, we
are able to explicitly specify the underlying CICYs and to check necessary
conditions for a GSUGRA interpretation. If this conjecture is correct, there
exists a large class of exactly solvable non-geometric flux compactifications
on CY threefolds.
