Topological and conformal field theory as Frobenius algebras

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dc.creatorRunkel, Ingo
dc.creatorFjelstad, Jens
dc.creatorFuchs, Jurgen
dc.creatorSchweigert, Christoph
dc.date2005-12-03
dc.date2006-05-17
dc.date.accessioned2026-07-07T10:46:40Z
dc.date.available2026-07-07T10:46:40Z
dc.descriptionTwo-dimensional conformal field theory (CFT) can be defined through its correlation functions. These must satisfy certain consistency conditions which arise from the cutting of world sheets along circles or intervals. The construction of a (rational) CFT can be divided into two steps, of which one is complex-analytic and one purely algebraic. We realise the algebraic part of the construction with the help of three-dimensional topological field theory and show that any symmetric special Frobenius algebra in the appropriate braided monoidal category gives rise to a solution. A special class of examples is provided by two-dimensional topological field theories, for which the relevant monoidal category is the category of vector spaces.
dc.description23 pages, several figures, proceedings to the Streetfest (Canberra 07/2005); v2: section 2.4 expanded, version accepted for publication in Contemp. Math
dc.identifierhttps://arxiv.org/abs/math/0512076
dc.identifierhttp://arxiv.org/abs/math/0512076
dc.identifierContemp.Math.431:225-248,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183310
dc.subjectCategory Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject81T40; 18D10; 18D35; 81T45
dc.titleTopological and conformal field theory as Frobenius algebras
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