报告题目：4D/3D QFT and representation theory
报告人：Tomoyuki Arakawa
时间：2026年4月16日 15:00-16:00
地点：卓越楼117
摘要：Quantum field theory (QFT) in 3D and 4D is conceptually rich and gives rise to many interesting mathematical structures, even though a fully rigorous mathematical formulation of these theories remains lacking. A relatively recent discovery by Beem et al. shows that with every 4D N=2 superconformal field theory, one can associate a representation-theoretic object called a vertex algebra, which serves as an invariant (or observable) of the theory. Although vertex algebras are inherently algebraic, those arising from 4D QFT display striking connections with certain geometric objects that also appear as invariants of the same physical theories. Similarly, the work of Gaiotto and collaborators associates two vertex algebras—the A-twisted and B-twisted boundary VOAs—with each 3D N=4 gauge theory; these may be viewed as refinements of the Higgs and Coulomb branches. In this talk, I will discuss some representation-theoretic aspects of these phenomena.
报告人简介：
Tomoyuki Arakawa，日本京都大学数理解析研究所（RIMS）终身教授，冲绳科学技术大学院大学（OIST）终身教授，国家级高层次领军人才“长江学者”讲席教授，国际顶点算子代数，尤其是W-代数领域最杰出的数学家之一。2018年受邀在里约热内卢国际数学家大会（ICM）作45分钟大会报告。在数学四大顶刊Annals of Mathematics, Inventiones Mathematicae以及Duke Mathematical Journal, Journal of the European Mathematical Society, Compositio Mathematica等国际顶级期刊上发表大量学术论文。
