383 citations · 3.5k across the 90 of their papers we have counts for
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Lattice models from CFT on surfaces with holes I: Torus partition function via two lattice cells
Enrico M. Brehm, Ingo Runkel
We construct a one-parameter family of lattice models starting from a two-dimensional rational conformal field theory on a torus with a regular lattice of holes, each of which is e…
Reshetikhin-Turaev TQFTs close under generalised orbifolds
Nils Carqueville, Vincentas Mulevicius, Ingo Runkel +2
We specialise the construction of orbifold graph TQFTs introduced in Carqueville et al., arXiv:2101.02482 to Reshetikhin-Turaev defect TQFTs. We explain that the modular fusion cat…
Mapping class group representations and Morita classes of algebras
Iordanis Romaidis, Ingo Runkel
A modular fusion category C allows one to define projective representations of the mapping class groups of closed surfaces of any genus. We show that if all these representations a…
Domain walls between 3d phases of Reshetikhin-Turaev TQFTs
Vincent Koppen, Vincentas Mulevicius, Ingo Runkel +1
We study surface defects in three-dimensional topological quantum field theories which separate different theories of Reshetikhin-Turaev type. Based on the new notion of a Frobeniu…
Orbifold graph TQFTs
Nils Carqueville, Vincentas Mulevicius, Ingo Runkel +2
A generalised orbifold of a defect TQFT is another TQFT obtained by performing a state sum construction internal to . As an i…