Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions

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dc.creatorFuchs, Jurgen
dc.creatorRunkel, Ingo
dc.creatorSchweigert, Christoph
dc.date2005-11-23
dc.date.accessioned2026-07-07T10:46:39Z
dc.date.available2026-07-07T10:46:39Z
dc.descriptionA Morita class of symmetric special Frobenius algebras A in the modular tensor category of a chiral CFT determines a full CFT on oriented world sheets. For unoriented world sheets, A must in addition possess a reversion, i.e. an isomorphism from A^opp to A squaring to the twist. Any two reversions of an algebra A differ by an element of the group Aut(A) of algebra automorphisms of A. We establish a group homomorphism from Aut(A) to the Picard group of the bimodule category C_AA, with kernel consisting of the inner automorphisms, and we refine Morita equivalence to an equivalence relation between algebras with reversion.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0511590
dc.identifierhttp://arxiv.org/abs/math/0511590
dc.identifierContemp.Math.431:203-224,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183309
dc.subjectCategory Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject81T40,18D10,18D35,81T45
dc.titleRibbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
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