BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation
A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation
Organizers
Lin Zhe Huang , Zheng Wei Liu , Shuang Ming , Sébastien Palcoux , Yi Long Wang , Jin Song Wu
Speaker
Ce Shen
Time
Wednesday, June 18, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089 (BIMSA)
Abstract
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.
Speaker Intro
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.