Schur correlation functions from q-deformed Yang-Mills
Yufan Wang, Yiwen Pan
TL;DR
This paper develops wave functions in q-deformed 2d Yang-Mills theory to compute torus correlation functions of affine currents in VOAs linked to 4d N=2 SCFTs, connecting to Coulomb branch correlators in 3d mirror duals.
Contribution
It introduces a novel construction of wave functions in q-deformed 2d Yang-Mills that relate to VOA correlators and Coulomb branch operators in 3d mirror theories.
Findings
Wave functions compute torus correlation functions in q-deformed Yang-Mills.
Reduction to Coulomb branch correlators in T[SU(N)] theory.
Connection established between 4d SCFTs, 2d Yang-Mills, and 3d mirror duals.
Abstract
We construct the wave functions in the q-deformed 2d Yang-Mills theory that compute torus correlation functions of affine currents in the VOA associated to a class of 4d SCFTs. These wave functions are then shown to reduce to the topological correlators of a set of Coulomb branch operators in the theory, from which those correlators in the 3d mirror dual of the 4d TN theories can be computed.
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