383 citations · 3.5k across the 90 of their papers we have counts for
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Module categories for permutation modular invariants
Till Barmeier, Jurgen Fuchs, Ingo Runkel +1
We show that a braided monoidal category C can be endowed with the structure of a right (and left) module category over C \times C. In fact, there is a family of such module catego…
Gerbe-holonomy for surfaces with defect networks
Ingo Runkel, Rafal R. Suszek
We define the sigma-model action for world-sheets with embedded defect networks in the presence of a three-form field strength. We derive the defect gluing condition for the sigma-…
Cardy algebras and sewing constraints, I
Liang Kong, Ingo Runkel
This is part one of a two-part work that relates two different approaches to two-dimensional open-closed rational conformal field theory. In part one we review the definition of a…
On the Rosenberg-Zelinsky sequence in abelian monoidal categories
Till Barmeier, J"urgen Fuchs, Ingo Runkel +1
We consider Frobenius algebras and their bimodules in certain abelian monoidal categories. In particular we study the Picard group of the category of bimodules over a Frobenius alg…