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Irrational Conformal Field Theory

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arxiv hep-th/9501144 v2 pith:7Q3R6YFI submitted 1995-02-01 hep-th

classification hep-th
keywords conformalfieldtheoryirrationaldynamicsincludesreviewaction
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This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master equation, its solutions and the dynamics of irrational conformal field theory. Discussion of the dynamics includes the generalized Knizhnik-Zamolodchikov equations on the sphere, the corresponding heat-like systems on the torus and the generic world- sheet action of irrational conformal field theory.

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Cited by 1 Pith paper

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  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.

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