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

On 2d CFTs that interpolate between minimal models