02-28【张可可】五教5101 吴文俊数学重点实验室数学物理系列报告之2025-03

发布者:唐慧发布时间:2025-02-27浏览次数:88

题目:Operator representations and twisted traces of Coulomb branches


报告人:张可可(Perimeter Institute for Theoretical Physics, Canada)


时间:2025年2月28日(周五)14:00


地点:东区第五教学楼5101教室


摘要:3D mirror symmetry predicts that pairs of Higgs and Coulomb branches can be interchanged. Physicists showed that correlation functions on the Coulomb branches and the correlation functions on the Higgs branches it is S-dual to are equal. In mathematics, this can be understood as the twisted traces of the Higgs branch and the Coulomb branch it is S-dual to are equal. I first introduce operator representations of the Coulomb branches. Then I show a construction of explicit twisted traces in integral form for quantum Coulomb branches of good theories, using operator representations.