The non-rational limit of D-series minimal models
Sylvain Ribault
IPhT
Mon, Sep. 23rd 2019, 11:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

We study the limit of D-series minimal models when the central charge tends to an irrational value $c \leq 1$. We find that the limit theory's diagonal three-point structure constant differs from that of Liouville theory by a distribution factor, which is given by a divergent Verlinde formula. Nevertheless, in the limit theory, correlation functions that involve both non-diagonal and diagonal fields are smooth functions of the fields' conformal dimensions. The limit theory is a non-trivial example of a non-diagonal, non-rational, solved two-dimensional conformal field theory.

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