Abstract
We show the vertex operator formalism for the quiver gauge theory partition function and the qq-character of the highest weight module on quiver, both associated with the integral over the quiver variety.
Highlights
Let Mk,n be the instanton moduli space of k-instanton configuration in 4D SU(n) gauge theory on R4 ∼= C2
We show that the vertex operator formalism discussed in this paper is applicable to this qq-character integral construction
The remaining part of the paper is organized as follows: In Sect. 2, we introduce the vertex operators associated with the quiver
Summary
Let Mk,n be the instanton moduli space of k-instanton configuration in 4D SU(n) gauge theory on R4 ∼= C2. The recent progress on the supersymmetric localization [30,31] allows us to obtain a lot of exact results on the gauge theory side, and many examples of the correspondence can be checked so far based on these results Another gauge theory observable associated with the quiver variety is the qq-character [22], which is a two-parameter deformation of the character of representations constructed on the quiver. 3, we consider the partition function of 5D N = 1 quiver gauge theory defined on C2 × S1, which is the K-theoretic analog of the equivariant volume of the instanton moduli space. We show that the gauge theory partition function is expressed as a correlator of the vertex operators associated with the quiver. The other is deformation of the vertex operators providing the elliptic OPE factors
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