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arxiv: hep-th/0006151 · v1 · submitted 2000-06-20 · ✦ hep-th

Recognition: unknown

CFT, BCFT, ADE and all that

Jean-Bernard Zuber
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classification ✦ hep-th
keywords boundaryconformalproblemsappearbcftbulkclassicalclassification
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These pedagogical lectures present some material, classical or more recent, on (Rational) Conformal Field Theories and their general setting ``in the bulk'' or in the presence of a boundary. Two well posed problems are the classification of modular invariant partition functions and the determination of boundary conditions consistent with conformal invariance. It is shown why the two problems are intimately connected and how graphs -ADE Dynkin diagrams and their generalizations- appear in a natural way.

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Cited by 1 Pith paper

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  1. Generalized Complexity Distances and Non-Invertible Symmetries

    hep-th 2026-04 unverdicted novelty 7.0

    Non-invertible symmetries define quantum gates with generalized complexity distances, and simple objects in symmetry categories turn out to be computationally complex in concrete 4D and 2D QFT examples.