383 citations · 3.5k across the 90 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…
Reflection and Transmission for Conformal Defects
Thomas Quella, Ingo Runkel, Gerard M. T. Watts
We consider conformal defects joining two conformal field theories along a line. We define two new quantities associated to such defects in terms of expectation values of the stres…
The logarithmic triplet theory with boundary
Matthias R Gaberdiel, Ingo Runkel
The boundary theory for the c=-2 triplet model is investigated in detail. In particular, we show that there are four different boundary conditions that preserve the triplet algebra…
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…