Uniqueness of open/closed rational CFT with given algebra of open states

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dc.creatorFjelstad, Jens
dc.creatorFuchs, Jurgen
dc.creatorRunkel, Ingo
dc.creatorSchweigert, Christoph
dc.date2006-12-29
dc.date2008-11-07
dc.date.accessioned2026-07-07T12:46:49Z
dc.date.available2026-07-07T12:46:49Z
dc.descriptionWe study the sewing constraints for rational two-dimensional conformal field theory on oriented surfaces with possibly non-empty boundary. The boundary condition is taken to be the same on all segments of the boundary. The following uniqueness result is established: For a solution to the sewing constraints with nondegenerate closed state vacuum and nondegenerate two-point correlators of boundary fields on the disk and of bulk fields on the sphere, up to equivalence all correlators are uniquely determined by the one-, two,- and three-point correlators on the disk. Thus for any such theory every consistent collection of correlators can be obtained by the TFT approach of hep-th/0204148, hep-th/0503194. As morphisms of the category of world sheets we include not only homeomorphisms, but also sewings; interpreting the correlators as a natural transformation then encodes covariance both under homeomorphisms and under sewings of world sheets.
dc.description77 pages, several figures; v2: minor corrections, version published in ATMP
dc.identifierhttps://arxiv.org/abs/hep-th/0612306
dc.identifierhttp://arxiv.org/abs/hep-th/0612306
dc.identifierAdv.Theor.Math.Phys.12:1283-1375,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221512
dc.subjectHigh Energy Physics - Theory
dc.subjectCategory Theory
dc.titleUniqueness of open/closed rational CFT with given algebra of open states
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