154 citations · 332 across the 13 of their papers we have counts for
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cond-mat.str-el2020★ 30 cited
Defects in the 3-dimensional toric code model form a braided fusion 2-category
Liang Kong, Yin Tian, Zhi-Hao Zhang
It was well known that there are -particles and -strings in the 3-dimensional (spatial dimension) toric code model, which realizes the 3-dimensional topologica…
cond-mat.str-el2020★ 154 cited
Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
Liang Kong, Tian Lan, Xiao-Gang Wen +2
We introduce the notion of algebraic higher symmetry, which generalizes higher symmetry and is beyond higher group. We show that an algebraic higher symmetry in a bosonic system in…
math-ph2020★ 64 cited
Classification of topological phases with finite internal symmetries in all dimensions
Liang Kong, Tian Lan, Xiao-Gang Wen +2
We develop a mathematical theory of symmetry protected trivial (SPT) orders and anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different approach…