56 citations · 194 across the 10 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,…
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…