张可可 学术报告
Title: Operator representations and Twisted Traces of Coulomb branches
Speaker: Keke Zhang (张可可)
Affiliation: Perimeter Institute for Theoretical Physics, Canada (加拿大圆周理论物理研究所)
Time: 12:00 - 13:00, Wednesday, 26th Feburary, 2025 （UTC+8, Beijing Time）
Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Inviter: Tadashi Okazaki
Abstract
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.
Bio
Keke Zhang is currently a graduate student at Perimeter Institute for Theoretical Physics, supervised by Prof. Ben Webster. She is interested in mathematical physics and geoemtric representation theory. Her current research is on the operator representations of Coulomb branches and that of the K-theoretic Coulomb branches.