27 citations · 123 across the 10 of their papers we have counts for
8 papers · 1 filter
From non-semisimple Hopf algebras to correlation functions for logarithmic CFT
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
We use factorizable finite tensor categories, and specifically the representation categories of factorizable ribbon Hopf algebras H, as a laboratory for exploring bulk correlation…
Partition functions, mapping class groups and Drinfeld doubles
Jens Fjelstad, Jurgen Fuchs, Christoph Schweigert +1
Higher genus partition functions of two-dimensional conformal field theories have to be invariants under linear actions of mapping class groups. We illustrate recent results [4,6]…
Hopf and Frobenius algebras in conformal field theory
Carl Stigner
This thesis contains results relevant for two different classes of conformal field theory. We partly treat rational conformal field theory, but also derive results that aim at a be…
RCFT with defects: Factorization and fundamental world sheets
Jens Fjelstad, Jurgen Fuchs, Carl Stigner
It is known that for any full rational conformal field theory, the correlation functions that are obtained by the TFT construction satisfy all locality, modular invariance and fact…
The Cardy-Cartan modular invariant
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or Cardy, type as characters of coends in categories that share essentia…
The classifying algebra for defects
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
We demonstrate that topological defects in a rational conformal field theory can be described by a classifying algebra for defects - a finite-dimensional semisimple unital commutat…