  We investigate exactly solvable two-dimensional conformal field theories that
exist at generic values of the central charge, and that interpolate between
A-series or D-series minimal models. When the central charge becomes rational,
correlation functions of these CFTs may tend to correlation functions of
minimal models, or diverge, or have finite limits which can be logarithmic.
These results are based on analytic relations between four-point structure
constants and residues of conformal blocks.
