383 citations · 4.2k across the 131 of their papers we have counts for
6 papers · 1 filter
CFT Correlators for Cardy Bulk Fields via String-Net Models
Christoph Schweigert, Yang Yang
We show that string-net models provide a novel geometric method to construct invariants of mapping class group actions. Concretely, we consider string-net models for a modular tens…
A modular functor from state sums for finite tensor categories and their bimodules
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert
We construct a modular functor which takes its values in the monoidal bicategory of finite categories, left exact functors and natural transformations. The modular functor is defin…
On isotypic decompositions for non-semisimple Hopf algebras
Vincent Koppen, Ehud Meir, Christoph Schweigert
In this paper we study the isotypic decomposition of the regular module of a finite-dimensional Hopf algebra over an algebraically closed field of characteristic zero. For a semisi…
Davydov-Yetter cohomology, comonads and Ocneanu rigidity
Azat M. Gainutdinov, Jonas Haferkamp, Christoph Schweigert
Davydov-Yetter cohomology classifies infinitesimal deformations of tensor categories and of tensor functors. Our first result is that Davydov-Yetter cohomology for finite tensor ca…
The Hochschild Complex of a Finite Tensor Category
Christoph Schweigert, Lukas Woike
Modular functors, i.e. consistent systems of projective representations of mapping class groups of surfaces, have been constructed for non-semisimple modular categories already dec…
Full Logarithmic Conformal Field theory - an Attempt at a Status Report
Jürgen Fuchs, Christoph Schweigert
Logarithmic conformal field theories are based on vertex algebras with non-semisimple representation categories. While examples of such theories have been known for more than 25 ye…