Uniqueness of open / closed rational CFT with given algebra of open states
2008 (English)In: Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, E-ISSN 1095-0753, Vol. 12, 1283-1375 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. Vol. 12, 1283-1375 p.
IdentifiersURN: urn:nbn:se:uu:diva-236927DOI: 10.4310/ATMP.2008.v12.n6.a4OAI: oai:DiVA.org:uu-236927DiVA: diva2:766031