北京雁栖湖应用数学研究院

黄林哲 , 刘正伟 , 明爽 , Sébastien Palcoux , 王亦龙 , 吴劲松

沈策

2025年06月18日 10:30 至 12:00

A3-3-301

Zoom 242 742 6089 (BIMSA)

In this talk I'll present a “CFT factory”, a systematic procedure for engineering 2D lattice models that flow to conformal fixed points via critical boundary conditions on 3D string-net topological orders (the “strange correlator” construction). By tuning non-commuting anyon condensates and tracking their hierarchy through a refined condensation tree, one both recovers the A-series minimal models and uncovers new critical points (with central charges $c\approx1.3, 1.8, 2.5$) carrying Haagerup symmetries. A generalised Kramers–Wannier duality then predicts extensive phase boundaries and isolates second-order transitions, which we confirm numerically using symmetry-preserving tensor-network RG. Finally, we show that critical couplings are encoded purely in categorical data (Frobenius algebras and quantum dimensions), offering a powerful route to discovering novel 2D CFTs. Reference: arXiv:2506.05324, arXiv:2502.14556.

Ce Shen graduated from Fudan University in 2022. After working in Baidu as a senior researcher, he joined BIMSA as a postdoctoral research fellow in 2024. His research interests include quantum information and topological quantum field theories.