383 citations · 4.2k across the 131 of their papers we have counts for
5 papers · 2 filters
The Lyubashenko Modular Functor for Drinfeld Centers via Non-Semisimple String-Nets
Lukas Müller, Christoph Schweigert, Lukas Woike +1
The Levin-Wen string-nets of a spherical fusion category describe, by results of Kirillov and Bartlett, the representations of mapping class groups of closed surfaces…
Algebraic structures in two-dimensional conformal field theory
Jürgen Fuchs, Christoph Schweigert, Simon Wood +1
This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We review the following algebraic structures which appear in two-dimensional conform…
A -equivariant String-Net Construction
Adrien DeLazzer Meunier, Christoph Schweigert, Matthias Traube
We develop a string-net construction for the (2,1)-dimensional part of a -equivariant three-dimensional topological field theory based on a -graded spherical fusion category.…
Twisted Drinfeld Centers and Framed String-Nets
Hannes Knötzele, Christoph Schweigert, Matthias Traube
We discuss a string-net construction on 2-framed surfaces, taking as algebraic input a finite, rigid tensor category, which is neither assumed to be pivotal nor semi-simple. It is…
String-net models for pivotal bicategories
Jürgen Fuchs, Christoph Schweigert, Yang Yang
We develop a string-net construction of a modular functor whose algebraic input is a pivotal bicategory; this extends the standard construction based on a spherical fusion category…