5 papers
Classification of symmetric fusion categories over
Mo Huang, Hao Xu, Zhi-Hao Zhang
We show that every symmetric fusion category over is equivalent to the category of finite-dimensional semi-linear representations of a -graded finite sup…
Classical Symmetry TFTs for Continuous Symmetries via Higher Symplectic Geometry
Hao Xu
We propose a shifted-symplectic formulation of a classical continuous analogue of the symmetry TFT paradigm. Let be an algebraic or Lie group acting by topological defects on a…
The 2-character theory of finite 2-groups
Mo Huang, Hao Xu, Zhi-Hao Zhang
We generalize the notion of character for 2-representations of finite 2-groups. The properties of 2-characters bear strong similarities to those classical characters of finite grou…
Higher Witt Groups for 2-Categories I: Centralizers
Hao Xu
In this article, we investigate monoidal, braided, sylleptic centralizers of monoidal, braided, sylleptic 2-functors. We specifically focus on multifusion 2-categories and show tha…
On Ãtale Algebras and Bosonic Fusion 2-Categories
Hao Xu
We classify all connected and Lagrangian étale algebras in the Drinfeld center , where is a finite group and is a 4-cocycle on . By…