8 citations · 16 across the 8 of their papers we have counts for
9 papers
Algebraic Tensor Network Renormalization and Holographic duality
Chenqi Meng, Tian Lan, Zhengcheng Gu
Emergent generalized symmetries and the holographic principle play very important roles in understanding quantum phase transitions. In recent years, tensor-network renormalization…
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…
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…
Tube Category, Tensor Renormalization and Topological Holography
Tian Lan
Ocneanu's tube algebra provides a finite algorithm to compute the Drinfeld center of a fusion category. In this work we reveal the universal property underlying the tube algebra. T…
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…
On a class of fusion 2-category symmetry: condensation completion of braided fusion category
Wenjie Xi, Tian Lan, Longye Wang +2
Recently, many studies are focused on generalized global symmetry, a mixture of both invertible and non-invertible symmetries in various space-time dimensions. The complete structu…