2 citations · 2 across the 5 of their papers we have counts for
7 papers
Generalized property F for weakly group-theoretical modular fusion categories
Enyu Li, Yuze Ruan
We prove that every weakly group-theoretical modular fusion category, equipped with its canonical positive spherical structure, has generalized property F: the associated Reshetikh…
Braiding structures on categorical multi-Interval Jones-Wassermann subfactor
Zhengwei Liu, Yuze Ruan
In this paper, we construct braiding structures on the multi-interval Jones-Wassermann subfactor planar algebra associated with any unitary modular fusion category. Utilizing this…
Low-dimensional indecomposable representations of the braid group
Eric C. Rowell, Yuze Ruan
In this note we give a complete classification of all indecomposable yet reducible representations of for dimensions and over an algebraically closed field with c…
On permutation gauging
Zhengwei Liu, Yuze Ruan
We explicitly construct a (unitary) permutation gauging of a (unitary) modular category . In particular, the formula for the modular data of t…
Projective representations of Hecke groups from Topological quantum field theory
Yuze Ruan
We construct projective (unitary) representations of Hecke groups from the vector spaces associated with the Witten-Reshetikhin-Turaev topological quantum field theory of higher ge…
The Witt classes of
Eric C. Rowell, Yuze Ruan, Yilong Wang
We study the Witt classes of the modular categories associated with quantum groups of type at th roots of unity. From these classes we derive infinitely m…
Metaplectic Categories, Gauging and Property F
Paul Gustafson, Eric Rowell, Yuze Ruan
-Metaplectic categories, unitary modular categories with the same fusion rules as , are prototypical examples of weakly integral modular categories. As such, a conjectu…