383 citations · 3.5k across the 90 of their papers we have counts for
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A quasi-Hopf algebra for the triplet vertex operator algebra
Thomas Creutzig, Azat M. Gainutdinov, Ingo Runkel
We give a new factorisable ribbon quasi-Hopf algebra U, whose underlying algebra is that of the restricted quantum group for sl(2) at a 2p'th root of unity. The representation cate…
Line and surface defects in Reshetikhin-Turaev TQFT
Nils Carqueville, Ingo Runkel, Gregor Schaumann
A modular tensor category gives rise to a Reshetikhin-Turaev type topological quantum field theory which is defined on 3-dimensional bordisms with embedded $\mathcal{…
The symplectic fermion ribbon quasi-Hopf algebra and the SL(2,Z)-action on its centre
Vanda Farsad, Azat M. Gainutdinov, Ingo Runkel
We introduce a family of factorisable ribbon quasi-Hopf algebras for a positive integer: as an algebra, is the semidirect product of with…
Introductory lectures on topological quantum field theory
Nils Carqueville, Ingo Runkel
These notes offer a lightening introduction to topological quantum field theory in its functorial axiomatisation, assuming no or little prior exposure. We lay some emphasis on the…
Orbifolds of n-dimensional defect TQFTs
Nils Carqueville, Ingo Runkel, Gregor Schaumann
We introduce the notion of -dimensional topological quantum field theory (TQFT) with defects as a symmetric monoidal functor on decorated stratified bordisms of dimension . T…
Projective objects and the modified trace in factorisable finite tensor categories
Azat M. Gainutdinov, Ingo Runkel
For C a factorisable and pivotal finite tensor category over an algebraically closed field of characteristic zero we show: 1) C always contains a simple projective object; 2) if C…