56 citations · 194 across the 10 of their papers we have counts for
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Uniqueness of open/closed rational CFT with given algebra of open states
Jens Fjelstad, Jurgen Fuchs, Ingo Runkel +1
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…
On non-semisimple fusion rules and tensor categories
Jurgen Fuchs
Category theoretic aspects of non-rational conformal field theories are discussed. We consider the case that the category C of chiral sectors is a finite tensor category, i.e. a ri…
Categorification and correlation functions in conformal field theory
Ingo Runkel, Jurgen Fuchs, Christoph Schweigert
A modular tensor category provides the appropriate data for the construction of a three-dimensional topological field theory. We describe the following analogue for two-dimensional…
Twining characters and Picard groups in rational conformal field theory
Jurgen Fuchs, Ingo Runkel, Christoph Schweigert
Picard groups of tensor categories play an important role in rational conformal field theory. The Picard group of the representation category C of a rational vertex algebra can be…