81 citations · 369 across the 10 of their papers we have counts for
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Morita classes of algebras in modular tensor categories
Liang Kong, Ingo Runkel
We consider algebras in a modular tensor category C. If the trace pairing of an algebra A in C is non-degenerate we associate to A a commutative algebra Z(A), called the full centr…
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…