8 citations · 16 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry
Chenqi Meng, Xinping Yang, Tian Lan +1
We investigate (1+1)d symmetry-protected topological (SPT) phases with fusion category symmetries. We emphasize that the UV description of an anomaly-free fusion category symmetry…
Torus algebra and logical operators at low energy
Ying Chan, Tian Lan, Linqian Wu
Given a modular tensor category , we construct an associative algebra , which we call the torus algebra. We prove that the torus algebra i…
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 and…
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…