154 citations · 259 across the 11 of their papers we have counts for
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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…
quant-ph2020
Measuring the Unique Identifiers of Topological Order Based on Boundary-Bulk Duality and Anyon Condensation
Yong-Ju Hai, Ze Zhang, Hao Zheng +3
A topological order is a new quantum phase that is beyond Landau's symmetry-breaking paradigm. Its defining features include robust degenerate ground states, long-range entanglemen…
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…