Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type $A$

TL;DR

This paper proves that Coulomb branches of affine type A quiver gauge theories are equivalent to Cherkis bow varieties, providing a geometric description of instanton moduli spaces on Taub-NUT spaces with cyclic symmetry.

Contribution

It establishes a new geometric correspondence between Coulomb branches and Cherkis bow varieties for affine type A quivers, linking gauge theory and instanton moduli spaces.

Findings

Coulomb branches are identified with Cherkis bow varieties.

Provides an ADHM-type description of instanton moduli spaces.

Connects gauge theory moduli spaces with geometric structures on Taub-NUT spaces.

Abstract

We show that Coulomb branches of quiver gauge theories of affine type $A$ are Cherkis bow varieties, which have been introduced as ADHM type description of moduli space of instantons on the Taub-NUT space equivariant under a cyclic group action.