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

• DOI: 10.4310/atmp.2008.v12.n6.a4
• Publication Date: 2013-08-30T21:01:56Z
• Authors: Jens Fjelstad; Jurgen Fuchs; Ingo Runkel; Christoph Schweigert
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); 0103 physical sciences; FOS: Mathematics; FOS: Physical sciences; Mathematics - Category Theory; Category Theory (math.CT); 01 natural sciences

We study the sewing constraints for rational two-dimensional conformal field theory on oriented surfaces with possibly nonempty boundary.The boundary condition is taken to be same all segments of following uniqueness result established: a solution nondegenerate closed state vacuum and two-point correlators fields disk bulk sphere, up equivalence are uniquely determined by one-, two-and three-point disk.