8 citations · 16 across the 8 of their papers we have counts for
4 papers · 1 filter
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…