04/12
2023
Seminar
- Title题目 Exact Holographic Tensor Networks -- Constructing CFTD from TQFTD+1
- Speaker报告人 孔令欣（清华大学丘成桐数学中心）
- Date日期 2023年4月12日 10:00
- Venue地点 南楼6620
Abstract摘要
We propose a class of of lattice renormalization group (RG) operators, each operator determined by a topological order T in D+1 space-time dimensions. Eigenstates of the RG operators produce TQFTs / CFTs with categorical symmetry characterized by the TQFTD+1. We give examples in D= 1,2,3. Particularly, at D=2, symmetric CFT's are obtained as phase transition points between topological eigenstates characterized by Frobenius algebra in the TQFT3. We also show that one can obtain the 3D Ising model as an eigenstate of the RG operator constructed from the Dijkgraaf-Witten Z2 lattice gauge theory in 4D, and numerically search for the critical temperature. We also explore the relation of the RG operator with holographic tensor networks capturing some features of the AdS/CFT correspondence.
报告人简介：
孔令欣教授，本科就读于牛津，硕博就读于剑桥，曾在加拿大圆周理论物理研究所和哈佛大学物理系做博士后，回国后任复旦大学物理系长聘教授，2022 年秋加入丘成桐数学科学中心。
邀请人 吴洁强
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