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A-D-E Classification of Conformal Field Theories

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arxiv 0911.3242 v1 pith:GO7OGZ2C submitted 2009-11-17 hep-th

Andrea Cappelli , Jean-Bernard Zuber This is my paper · ORCID
classification hep-th
keywords classificationconformalfieldschemetheoriesa-d-ealgebrasareas
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The ADE classification scheme is encountered in many areas of mathematics, most notably in the study of Lie algebras. Here such a scheme is shown to describe families of two-dimensional conformal field theories.

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Cited by 2 Pith papers

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  1. Generalised 4d Partition Functions and Modular Differential Equations

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    Generalized Schur partition functions Z_USp(2N)(q; alpha) for 4d N=2 USp(2N) theories satisfy order-(N+1) MLDEs with vanishing Wronskian index, alpha fixing MLDE parameters, with links to RCFT characters and a conject...

  2. Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant

    hep-th 2024-12 conditional novelty 5.0 of 10

    New classes of boundary and coupled conformal field theories are constructed from Z_N gauging, with a proposed dictionary to topological order, nonchiral anyons, and domain walls.

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