Schur correlation functions from q-deformed Yang-Mills

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 N = 2 SCFTs. These wave functions are then shown to reduce to the topological correlators of a set of Coulomb branch operators in the T [SU (N )] theory, from which those correlators in the 3d mirror dual of the 4d TN theories can be computed.

$$ \mathcal{N} $$ = 2* Schur indices

“…The decoration can be also achieved by inserting BPS local operators[11][12][13].2 See[14][15][16][17][18][19][20][21] for the study of the correlation functions of Wilson loops in N = 2 * SYM theory on S 4 .…”