383 citations · 3.5k across the 90 of their papers we have counts for
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Orbifold equivalent potentials
Nils Carqueville, Ana Ros Camacho, Ingo Runkel
To a graded finite-rank matrix factorisation of the difference of two homogeneous potentials one can assign two numbers, the left and right quantum dimension. The existence of such…
Cardy algebras and sewing constraints, II
Liang Kong, Qin Li, Ingo Runkel
This is the part II of a two-part work started in arXiv:0807.3356 [math.QA]. In part I, Cardy algebras were studied, a notion which arises from the classification of genus-0,1 open…
An alternative description of braided monoidal categories
Alexei Davydov, Ingo Runkel
We give an alternative presentation of braided monoidal categories. Instead of the usual associativity and braiding we have just one constraint (the b-structure). In the unital cas…
Functoriality of the center of an algebra
Alexei Davydov, Liang Kong, Ingo Runkel
The notion of the center of an algebra over a field k has a far reaching generalization to algebras in monoidal categories. The center then lives in the monoidal center of the orig…
A braided monoidal category for symplectic fermions
Alexei Davydov, Ingo Runkel
We describe a class of examples of braided monoidal categories which are built from Hopf algebras in symmetric categories. The construction is motivated by a calculation in two-dim…