Integrating over quiver variety and BPS/CFT correspondence

TL;DR

This paper develops a vertex operator formalism linking quiver gauge theory partition functions and BPS/CFT correspondence through the integral over quiver varieties, revealing new algebraic structures.

Contribution

It introduces a novel vertex operator approach to connect quiver gauge theories with BPS/CFT correspondence via quiver varieties.

Findings

Established a vertex operator formalism for quiver gauge theory partition functions.

Connected $qq$-characters of highest-weight modules to integrals over quiver varieties.

Provided new insights into the algebraic structure underlying quiver gauge theories.

Abstract

We show the vertex operator formalism for the quiver gauge theory partition function and the $qq$-character of highest-weight module on quiver, both associated with the integral over the quiver variety.