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Lie algebra automorphisms in conformal field theory

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arxiv math/0011160 v1 pith:GWREJKOB submitted 2000-11-21 math.QA hep-th

J. Fuchs , C. Schweigert This is my paper
classification math.QAhep-th
keywords theyautomorphismsconformalfieldtheoryalgebraalgebrasappear
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The role of automorphisms of infinite-dimensional Lie algebras in conformal field theory is examined. Two main types of applications are discussed; they are related to the enhancement and reduction of symmetry, respectively. The structures one encounters also appear in other areas of physics and mathematics. In particular, they lead to two conjectures on the sub-bundle structure of chiral blocks, and they are instrumental in the study of conformally invariant boundary conditions.

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  1. Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

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