442 citations · 2.3k across the 48 of their papers we have counts for
6 papers · 1 filter
Categories of quantum liquids I
Liang Kong, Hao Zheng
We develop a mathematical theory of separable higher categories based on Gaiotto and Johnson-Freyd's work on condensation completion. Based on this theory, we prove some fundamenta…
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…
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…
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…
A relation between chiral central charge and ground state degeneracy in 2+1-dimensional topological orders
Liang Kong, Xiao-Gang Wen
A bosonic topological order on -dimensional closed space may have degenerate ground states. The space with different shapes (different metrics) form a moduli space $…
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…