4 papers
Bulk-boundary correspondence of (1+1)D symmetric gapped phases
Yizhou Ma, Gen Yue, Tian Lan
We develop an operator-algebraic framework for boundary conditions and bulk-boundary correspondence in one-dimensional gapped phases with categorical symmetry. Working directly in…
Pro-Tensor Network
Gen Yue, Ansi Bai, Linqian Wu +1
We introduce the pro-tensor network, a categorification of the tensor network, as a fully rigorous yet graphically transparent framework for studying the collection of many many-bo…
Condensation Completion and Defects in 2+1D Topological Orders
Gen Yue, Longye Wang, Tian Lan
We review the condensation completion of a modular tensor category , which yields a fusion 2-category of separable algebras, bimodules over algebras an…
Category of SET orders
Tian Lan, Gen Yue, Longye Wang
We propose the representation principle to study physical systems with a given symmetry. In the context of symmetry enriched topological orders, we give the appropriate representat…