8 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
Modular functors and CFT correlators via double categories
Jürgen Fuchs, Christoph Schweigert, Yang Yang
We point out that double categories provide a natural setting for modular functors obtained by a (bicategorical) string-net construction: The source of the modular functor -- which…
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…
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…
String-net construction of RCFT correlators
Jürgen Fuchs, Christoph Schweigert, Yang Yang
We use string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. We obtain concise geometric e…