81 citations · 371 across the 11 of their papers we have counts for
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Topological and conformal field theory as Frobenius algebras
Ingo Runkel, Jens Fjelstad, Jurgen Fuchs +1
Two-dimensional conformal field theory (CFT) can be defined through its correlation functions. These must satisfy certain consistency conditions which arise from the cutting of wor…
Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
Jurgen Fuchs, Ingo Runkel, Christoph Schweigert
A Morita class of symmetric special Frobenius algebras A in the modular tensor category of a chiral CFT determines a full CFT on oriented world sheets. For unoriented world sheets,…
Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model
Matthias R. Gaberdiel, Albrecht O. Klemm, Ingo Runkel
We propose a formula for the eigenvalue integral of the hermitian one matrix model with infinite well potential in terms of dressed twist fields of the su(2) level one WZW model. T…
TFT construction of RCFT correlators V: Proof of modular invariance and factorisation
Jens Fjelstad, Jurgen Fuchs, Ingo Runkel +1
The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [FRSI,FRSII,FRSIV] are shown to be invariant under the action of t…