Topological Wick rotation and holographic duality
组织者
演讲者
孔良
时间
2022年09月27日 13:30 至 15:00
地点
1131
线上
Tencent 607 3645 0351
()
摘要
I will explain a new type of holographic dualities between n+1D topological orders with a chosen boundary condition and nD (potentially gapless) quantum liquids. It is based on the idea of topological Wick rotation, a notion which was first used in arXiv:1705.01087 and was named, emphasized and generalized later in arXiv:1905.04924. I will provide some explicit examples in low dimensions, including the duality between 2+1D toric code model and 1+1D Ising chain and its finite-group generalizations (independently obtained by Freed and Teleman arXiv:1806.00008); that between 2+1D topological orders and 1+1D rational conformal field theories. As a consequence, we immediately obtain the classification of all 1+1D gapped quantum phases, a result which was obtained previously via a very different approach. This classification result generalizes to gapped quantum liquids in higher dimensions (with more general symmetries). I will also discuss some generalizations of this holographic duality and its relation to AdS/CFT duality.
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.