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The non-rational limit of D-series minimal models

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arxiv 1909.10784 v4 pith:KEZPFK27 submitted 2019-09-24 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords limittheorydiagonalconformald-seriesfieldsfunctionsminimal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Coupled minimal models revisited II: Constraints from permutation symmetry

    hep-th 2024-12 accept novelty 7.0 of 10

    For coupled large-m minimal models with N=5,6,7, every permutation-charged current below spin 10 acquires an anomalous dimension, so the IR fixed points show no extended chiral algebra in that range.

  2. Anyon Condensation in Virasoro TQFT: Wormhole Factorization

    hep-th 2024-12 conditional novelty 6.0 of 10

    Condensing a diagonal anyon in Virasoro TQFT factorizes wormhole partition functions and produces Liouville CFT on the two boundary surfaces.

  3. Exactly solvable conformal field theories

    hep-th 2024-11 conditional novelty 3.0 of 10

    A lecture-note review unifying the exactly solvable 2d CFTs without extended chiral symmetry under the bootstrap framework, with a conjectural roadmap for solving the loop CFTs.

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