On 2d CFTs that interpolate between minimal models

Understand

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.