134 citations · 1.1k across the 22 of their papers we have counts for
22 papers
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…
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…
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert +1
We develop the theory of module categories over a Grothendieck-Verdier category, i.e. a monoidal category with a dualizing object and hence a duality structure more general than ri…
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…
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…
Internal natural transformations and Frobenius algebras in the Drinfeld center
Jürgen Fuchs, Christoph Schweigert
For M and N finite module categories over a finite tensor category C, the category Rex_C(M,N) of right exact module functors is a finite module category over the Drinfeld center Z(…