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Uniqueness of open/closed rational CFT with given algebra of open states
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2008 (English)In: Adv. in Theor. and Math. Phys. 12 (2008)Article 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] 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
National Category
Physical Sciences
Research subject
URN: urn:nbn:se:kau:diva-25220OAI: diva2:598996
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2014-11-21

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