3 papers
cond-mat.mes-hall2026
Unveiling Topological Fusion in Quantum Hall Systems from Microscopic Principles
Arkadiusz Bochniak, Shinsei Ryu, Jürgen Fuchs +1
Establishing the fusion rules of anyonic quasiparticles in fractional quantum Hall fluids is essential for understanding their underlying topological order. Building on the conject…
math.QA2026
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…
math.CT2024
Grothendieck-Verdier duality in categories of bimodules and weak module functors
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert +1
Various monoidal categories, including suitable representation categories of vertex operator algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a…