# The non-rational limit of D-series minimal models

### Submission summary

 As Contributors: Sylvain Ribault Arxiv Link: https://arxiv.org/abs/1909.10784v1 Date submitted: 2019-10-22 Submitted by: Ribault, Sylvain Submitted to: SciPost Physics Core Discipline: Physics Subject area: High-Energy Physics - Theory Approach: Theoretical

### Abstract

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.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1909.10784v1 on 22 October 2019