2D rational conformal field theories I
组织者
演讲者
孔良
时间
2022年04月27日 13:30 至 15:00
地点
1131
线上
Tencent 660 7557 3050
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摘要
The study of the gapless edges of 2+1D topological orders demands a mathematical theory of 1+1D conformal field theories far beyond those covered in the famous yellow book (Di Francesco et al. 1997). Some crucial parts of this theory were developed after 2000. In this talk and its sequels, we will review the mathematical theory of 2D rational conformal field theories (RCFT) based on the representation theory of vertex operator algebras. We will focus on the classification of open-closed RCFT’s and open-closed duality. After this preparation, we will explain the mathematical theory of the gapless edges of 2+1D topological orders developed jointly with Hao Zheng.
演讲者介绍
Liang Kong is a Professor of Mathematics at SUSTC (Shenzhen University of Science and Technology), specializing in Mathematical Physics. His research focuses on topological field theories, 2d conformal field theories, category theory, representation theory, and topological phases of matter. Kong earned his Ph.D. in Mathematics from Rutgers University in 2005. He has contributed significantly to the study of open-string vertex algebras, modular invariance, and topological orders in physics. His notable publications include works in journals such as Comm. Math. Phys., Adv. Math., and Phys. Rev. B. Kong has collaborated extensively with researchers like Yi-Zhi Huang, Ingo Runkel, and Xiao-Gang Wen, advancing the mathematical framework behind quantum field theory and topological phases.