442 citations · 2.3k across the 48 of their papers we have counts for
50 papers
Generalized Witt and Morita equivalences
Liang Kong, Yilong Wang, Hao Zheng
In this work, we introduce a family of new equivalence relations among fusion categories that are less refined than the usual Morita equivalence. We obtain abelian groups by quotie…
Higher condensation theory
Liang Kong, Zhi-Hao Zhang, Jiaheng Zhao +1
We develop a unified mathematical theory of defect condensations for topological orders in all dimensions based on higher categories, higher algebras and higher representations. A…
String Condensations in 3+1D and Lagrangian Algebras
Jiaheng Zhao, Jia-Qi Lou, Zhi-Hao Zhang +3
We present three Lagrangian algebras in the modular 2-category associated to the 3+1D topological order and discuss their physical interpretations, connecting algebr…
An invitation to topological orders and category theory
Liang Kong, Zhi-Hao Zhang
Although it has been a well-known fact, for more than two decades, that category theory is needed for the study of topological orders, it is still a non-trivial challenge for stude…
Categories of quantum liquids III
Liang Kong, Hao Zheng
We continue our study of the categories of quantum liquids started in a previous work. We combine local quantum symmetries with topological skeletons into a single mathematical the…
One dimensional gapped quantum phases and enriched fusion categories
Liang Kong, Xiao-Gang Wen, Hao Zheng
In this work, we use Ising chain and Kitaev chain to check the validity of an earlier proposal in arXiv:2011.02859 that enriched fusion (higher) categories provide a unified catego…