Coulomb branches of quiver gauge theories with symmetrizers

被引：12

作者：

Nakajima, Hiraku ^{[1
,2
]}

Weekes, Alex ^{[3
]}

机构：

[1] Univ Tokyo, Kavli Inst Phys & Math Universe WPI, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan

[2] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

[3] Univ Saskatchewan, Dept Math & Stat, 106 Wiggins Rd, Saskatoon, SK S7N 5E6, Canada

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2023年 / 25卷 / 01期

关键词：

Coulomb branches; quiver gauge theories; quivers with symmetrizers; shifted Yangian; affine Grassmannian; zastava spaces; MATHEMATICAL DEFINITION; Q-CHARACTERS; VARIETIES; SLICES; REPRESENTATIONS; CRYSTALS; MODULES; SPACE;

D O I：

10.4171/JEMS/1176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the mathematical definition of Coulomb branches of 3-dimensional N = 4 SUSY quiver gauge theories due to Nakajima (2016) and Braverman et al. (2018, 2019) to the cases with symmetrizers. We obtain generalized affine Grassmannian slices of type BCFG as examples of the construction, and their deformation quantizations via truncated shifted Yangians. Finally, we study modules over these quantizations and relate them to the lower triangular part of the quantized enveloping algebra of type ADE.

引用

页码：203 / 230

页数：28

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