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Uniqueness of open / closed rational CFT with given algebra of open states
2008 (English)In: Adv.Theor.Math.Phys.12:1283-1375Article in journal (Refereed)
Abstract [en]

We 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

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Physical Sciences
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URN: urn:nbn:se:kau:diva-25219OAI: diva2:598995
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2013-01-22

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Fjelstad, Jens
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