Uniqueness of open/closed rational CFT with given algebra of open states
2008 (English)In: Adv. in Theor. and Math. Phys. 12 (2008)Article in journal (Refereed)
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] and [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
Research subject Physics
IdentifiersURN: urn:nbn:se:kau:diva-25220OAI: oai:DiVA.org:kau-25220DiVA: diva2:598996