56 citations · 58 across the 4 of their papers we have counts for
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Gerbes and Lie Groups
Christoph Schweigert, Konrad Waldorf
We present a review of bundle gerbes, emphasizing their relations to Lie groups. Indeed, compact Lie groups do not only carry the structure of a Riemannian manifold, but also canon…
Kramers-Wannier dualities for WZW theories and minimal models
Christoph Schweigert, Efrossini Tsouchnika
We study Kramers-Wannier dualities for Wess-Zumino-Witten theories and (super-)minimal models in the Cardy case, i.e. the case with bulk partition function given by charge conjugat…
Bi-branes: Target Space Geometry for World Sheet topological Defects
Jürgen Fuchs, Christoph Schweigert, Konrad Waldorf
We establish that the relevant geometric data for the target space description of world sheet topological defects are submanifolds - which we call bi-branes - in the product M1 x M…
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…