The non-rational limit of D-series minimal models

Sylvain Ribault

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


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

See full Ontology or Topics database.

Conformal field theory (CFT)

Author / Affiliation: mappings to Contributors and Organizations

See all Organizations.
Funders for the research work leading to this publication