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

Sylvain Ribault

SciPost Phys. Core 3, 002 (2020) · published 31 July 2020

- doi: 10.21468/SciPostPhysCore.3.1.002
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### 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.

### Ontology / Topics

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^{1}Sylvain Ribault

Funders for the research work leading to this publication

- Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- Commissariat à l'Énergie Atomique et aux Énergies Alternatives (through Organization: Commissariat à l'énergie Atomique et aux énergies Alternatives / Atomic Energy and Alternative Energies Commission [CEA])