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On 2d CFTs that interpolate between minimal models

Sylvain Ribault

SciPost Phys. 6, 075 (2019) · published 25 June 2019


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.

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2d minimal models Central charge Conformal field theory (CFT)

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