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math.QA2026
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…
math.QA2024
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…
math.QA2018
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…