8 citations · 11 across the 6 of their papers we have counts for
7 papers
Equivariant basic cohomology of Lie groupoids
Fengyu Jiang, Yang Yang, Bohui Chen
This paper develops equivariant basic cohomology for Lie groupoids equipped with weak actions of Lie groups. The weak action is encoded by a Kan fibration over the classifying grou…
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…
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…