Line bundles over Coulomb branches

2018/05/30 by Alexander Braverman, Braverman, Alexander, Michael Finkelberg +3
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1805.11826

openalex publication_date 2018/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the third companion paper of arXiv:1601.03586. When a gauge theory has a flavor symmetry group, we construct a partial resolution of the Coulomb branch as a variant of the definition. We identify the partial resolution with a partial resolution of a generalized slice in the affine Grassmannian, Hilbert scheme of points, and resolved Cherkis bow variety for a quiver gauge theory of type ADE or affine type A.

Related

• Coulomb branches of 3d \mathcal N=4 quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)
• Coulomb branches of quiver gauge theories with symmetrizers
• Symplectic resolutions, symplectic duality, and Coulomb branches
• Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type A
• Coherent sheaves and quantum Coulomb branches II: quiver gauge theories and knot homology