Canonical bases for Coulomb branches of 4d N=2 gauge theories
成果类型：
Article
署名作者：
Cautis, Sabin; Williams, Harold
署名单位：
University of British Columbia; University of Southern California
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910; 1432-1297
DOI：
10.1007/s00222-026-01416-6
发表日期：
2026-08
页码：
797-869
关键词：
摘要：
We construct and study a nonstandard t-structure on the derived category of equivariant coherent sheaves on the Braverman-Finkelberg-Nakajima space of triples R-G,R-N, where N is a representation of a reductive group G. Its heart KPG,N is a finite-length, rigid, monoidal abelian category with renormalized r-matrices. We refer to objects of KPG,N as Koszul-perverse coherent sheaves. Simple objects of KPG,N define a canonical basis in the quantized K-theoretic Coulomb branch of the associated gauge theory. These simples possess various characteristic properties of Wilson-'t Hooft lines, and we interpret our construction as an algebro-geometric definition of the category of half-BPS line defects in a 4d N=2 gauge theory of cotangent type.
来源URL：