题 目:A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation in SymTO
报告人:万义顿 教授 复旦大学
时 间:2025年11月4号(星期二)下午3:00
地 点:LE201
邀请人:胡自翔
报告摘要:In this talk, we shall introduce a CFT factory -- a novel algorithm of methodically generating 2D lattice models that would flow to conformal field theories (CFTs) in the infrared. We realise these models by engineering the boundary conditions of 3D topological orders (SymTOs) described by string-net models. The critical points are induced by a commensurate condensation of non-commuting anyons. Our structured method generates an infinite family of critical lattice models, including the A-series minimal models, and uncovers previously unknown critical points. Notably, we discover at least three novel CFTs (with central charge c around 1.3, 1.8, and 2.5) that preserves the Haagerup symmetries, in addition to recovering previously reported examples. The non-invertible symmetries preserved at these points are dictated by a novel "refined condensation tree". The condensation trees predict large swathes of phase boundaries and sieves out second order phase transitions.
万义顿,复旦大学物理系长聘教授。华南理工大学计算机与经济学双学士(1998)、美国宾夕法尼亚大学计算机硕士(2002)、加拿大渥太华大学物理硕士(2004)、加拿大滑铁卢大学暨圆周理论物理研究所理论物理博士(2009),于日本近畿大学、东京大学、加拿大圆周理论物理研究所做博士后,2016年加入复旦物理系,从事拓扑物态、量子信息与计算、宇宙学等领域的研究。