SciPost Submission Page
The non-rational limit of D-series minimal models
by Sylvain Ribault
|As Contributors:||Sylvain Ribault|
|Submitted by:||Ribault, Sylvain|
|Submitted to:||SciPost Physics Core|
|Subject area:||High-Energy Physics - Theory|
We study the limit of D-series minimal models when the central charge tends to a generic irrational value $c\in (-\infty, 1)$. 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, correlation functions that involve both non-diagonal and diagonal fields are smooth functions of the diagonal fields' conformal dimensions. The limit theory is a non-trivial example of a non-diagonal, non-rational, solved two-dimensional conformal field theory.