Speaker: 沈耀龙，华东师范大学

Inviter: 邹佳良

Title: Gauge theory for quivers with involution

Language: Chinese

Time & Venue: 2026.11.06 10:30-11:30 南楼N820

Abstract: 3D N=4 gauge theories give rise to geometric constructions of algebras and their representations through their Higgs and Coulomb branches. For framed quivers, the corresponding Higgs branches are Nakajima quiver varieties. On the Coulomb side, Braverman, Finkelberg and Nakajima gave a mathematical construction using convolution algebras; the corresponding quantized algebras can be realized by truncated shifted Yangians. 3D mirror symmetry, which exchanges the Higgs and Coulomb branches of mirror-dual theories, motivates the study of these geometries and their representation-theoretic structures. In this talk, I will introduce a new class of gauge theories associated to quivers with involution. The involution determines orthogonal and symplectic gauge factors and gives rise to matter representations that need not be of cotangent type. For all quasi-split iquivers, we construct explicit homomorphisms from shifted twisted Yangians to the resulting Coulomb branch algebras. The talk is based on joint works with Changjian Su, Zichang Wang and Rui Xiong.