Twining characters and Picard groups in rational conformal field theory

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dc.creatorFuchs, Jurgen
dc.creatorRunkel, Ingo
dc.creatorSchweigert, Christoph
dc.date2006-02-05
dc.date.accessioned2026-07-07T07:03:07Z
dc.date.available2026-07-07T07:03:07Z
dc.descriptionPicard groups of tensor categories play an important role in rational conformal field theory. The Picard group of the representation category C of a rational vertex algebra can be used to construct examples of (symmetric special) Frobenius algebras in C. Such an algebra A encodes all data needed to ensure the existence of correlators of a local conformal field theory. The Picard group of the category of A-bimodules has a physical interpretation, too: it describes internal symmetries of the conformal field theory, and allows one to identify generalized Kramers-Wannier dualities of the theory. When applying these general results to concrete models based on affine Lie algebras, a detailed knowledge of certain representations of the modular group is needed. We discuss a conjecture that relates these representations to those furnished by twining characters of affine Lie algebras.
dc.description12 pages, submitted to the proceedings of a conference in honor of Robert L. Wilson and James Lepowsky
dc.identifierhttps://arxiv.org/abs/math/0602077
dc.identifierhttp://arxiv.org/abs/math/0602077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108851
dc.subjectQuantum Algebra
dc.subjectCategory Theory
dc.subject81T40;18D10;18D35;81T45
dc.titleTwining characters and Picard groups in rational conformal field theory
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