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

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.

arXiv comment62 pages; v2. definitions of deformation of bow varieties and Coulomb branches are corrected; v3. A detailed proof of the claim that Hanany-Witten transition preserves symplectic forms is given; v4. Errata are added

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