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arXiv · 1909.10784

The non-rational limit of D-series minimal models

Sylvain Ribault
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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.

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Sylvain Ribault. 2019-09-24. The non-rational limit of D-series minimal models. https://doi.org/10.21468/scipostphyscore.3.1.002

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