108 citations · 721 across the 34 of their papers we have counts for
6 papers · 1 filter
Topological defects
Nils Carqueville, Michele Del Zotto, Ingo Runkel
This is a survey article for the Encyclopedia of Mathematical Physics, 2nd Edition. Topological defects are described in the context of the 2-dimensional Ising model on the lattice…
Truncated affine Rozansky--Witten models as extended defect TQFTs
Ilka Brunner, Nils Carqueville, Pantelis Fragkos +1
We apply the cobordism hypothesis with singularities to the case of affine Rozansky--Witten models, providing a construction of extended TQFTs that includes all line and surface de…
Orbifolds of topological quantum field theories
Nils Carqueville
The orbifold construction via topological defects in quantum field theory can either be understood as a state sum construction internal to a given ambient theory, or as the procedu…
Truncated affine Rozansky--Witten models as extended TQFTs
Ilka Brunner, Nils Carqueville, Daniel Roggenkamp
We construct extended TQFTs associated to Rozansky--Witten models with target manifolds . The starting point of the construction is the 3-category whose objects ar…
On the monoidal structure of matrix bi-factorisations
Nils Carqueville, Ingo Runkel
We investigate tensor products of matrix factorisations. This is most naturally done by formulating matrix factorisations in terms of bimodules instead of modules. If the underlyin…
Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras
Nils Carqueville, Michael Flohr
We prove the existence and associativity of the nonmeromorphic operator product expansion for an infinite family of vertex operator algebras, the triplet W-algebras, using results…