26 citations · 99 across the 10 of their papers we have counts for
10 papers
Modular data of non-semisimple modular categories
Liang Chang, Quinn T. Kolt, Zhenghan Wang +1
We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification, and applications to low dimensional topology and topological physi…
On weak Hopf symmetry and weak Hopf quantum double model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski +1
Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this work, we introduce the weak Hopf algebr…
Representations of the loop braid groups from braided tensor categories
Liang Chang
The loop braid group is the motion group of unknotted oriented circles in . In this paper, we study their representations through the approach inspired by two dimensi…
On Two Invariants of Three Manifolds from Hopf Algebras
Liang Chang, Shawn X. Cui
We prove a 20-year-old conjecture concerning two quantum invariants of three manifolds that are constructed from finite dimensional Hopf algebras, namely, the Kuperberg invariant a…
Low-dimensional representations of the three component loop braid group
Paul Bruillard, Liang Chang, Seung-Moon Hong +3
Motivated by physical and topological applications, we study representations of the group of motions of unlinked oriented circles in . Our point…
A New Proof of for Semisimple Hopf Algebras
Liang Chang
Hennings and Kuperberg defined quantum invariants and for closed oriented -manifolds based on certain Hopf algebras, respectively. When the Hopf algebras ar…
On Enriching the Levin-Wen model with Symmetry
Liang Chang, Meng Cheng, Shawn X. Cui +6
Symmetry protected and symmetry enriched topological phases of matter are of great interest in condensed matter physics due to new materials such as topological insulators. The Lev…
Kitaev models based on unitary quantum groupoids
Liang Chang
We establish a generalization of Kitaev models based on unitary quantum groupoids. In particular, when inputting a Kitaev-Kong quantum groupoid , we show that the gr…
Tau function of the CKP hierarchy and non-linearizable Virasoro symmetries
Liang Chang, Chao-Zhong Wu
We introduce a single tau function that represents the CKP hierarchy into a generalized Hirota "bilinear" equation. The actions on the tau function by additional symmetries for the…
|Z_{Kup}|=|Z_{Henn}|^2 for Lens spaces
Liang Chang, Zhenghan Wang
M. Hennings and G. Kuperberg defined quantum invariants Z_{Henn} and Z_{Kup} of closed oriented 3-manifolds based on certain Hopf algebras, respectively. We prove that |Z_{Kup}|=|Z…