442 citations · 2.3k across the 48 of their papers we have counts for
5 papers · 1 filter
Semisimple and separable algebras in multi-fusion categories
Liang Kong, Hao Zheng
We give a classification of semisimple and separable algebras in a multi-fusion category over an arbitrary field in analogy to Wedderben-Artin theorem in classical algebras. It tur…
Gapless edges of 2d topological orders and enriched monoidal categories
Liang Kong, Hao Zheng
In this work, we give a precise mathematical description of a fully chiral gapless edge of a 2d topological order (without symmetry). We show that the observables on the 1+1D world…
A classification of 3+1D bosonic topological orders (I): the case when point-like excitations are all bosons
Tian Lan, Liang Kong, Xiao-Gang Wen
Topological orders are new phases of matter beyond Landau symmetry breaking. They correspond to patterns of long-range entanglement. In recent years, it was shown that in 1+1D boso…
Drinfeld center of enriched monoidal categories
Liang Kong, Hao Zheng
We define the Drinfeld center of a monoidal category enriched over a braided monoidal category, and show that every modular tensor category can be realized in a canonical way as th…
Boundary-bulk relation in topological orders
Liang Kong, Xiao-Gang Wen, Hao Zheng
In this paper, we study the relation between an anomaly-free 1D topological order, which are often called 1D topological order in physics literature, and its D gapped bo…