56 citations · 194 across the 10 of their papers we have counts for
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On Frobenius algebras in rigid monoidal categories
Jurgen Fuchs, Carl Stigner
We show that the equivalence between several possible characterizations of Frobenius algebras, and of symmetric Frobenius algebras, carries over from the category of vector spaces…
The fusion algebra of bimodule categories
Jurgen Fuchs, Ingo Runkel, Christoph Schweigert
We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appro…
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…
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,…
Correspondences of ribbon categories
J"urg Fr"ohlich, J"urgen Fuchs, Ingo Runkel +1
Much of algebra and representation theory can be formulated in the general framework of tensor categories. The aim of this paper is to further develop this theory for braided tenso…