Large R-charge EFT correlators in N=2 SQCD

TL;DR

This paper derives an exact formula for large-R-charge Coulomb branch correlators in N=2 superconformal QCD, matching localization results and exploring the role of massive particle contributions.

Contribution

It provides a novel exact expression for Coulomb branch correlators in N=2 SQCD at large R-charge, connecting EFT, S-duality, and localization.

Findings

Exact formula for Coulomb branch two-point functions derived

Agreement with supersymmetric localization results at low R-charge

Analysis of contributions from massive particles to correlators

Abstract

We consider large-R-charge Coulomb branch correlation functions in $\mathcal{N} = 2$ superconformal QCD in D=4 dimensions, with gauge group $SU(2)$ and $N_f = 4$ hypermultiplets in the fundamental representation. Using information from supersymmetric recursion relations, S-duality, and matching of EFT parameters with the double-scaling limit, we give an exact formula for the massless Coulomb branch EFT contribution to the correlation function two-point functions of the n.th power of the chiral ring generator, $G_{2n}^{\text{(EFT)}} = \frac{2^{4n}}{Z_{S^4}[\tau]} \Gamma(2n + 5/2) e^{A[\tau]n + B[\tau]}$ with $A[\tau]$ and $B[\tau]$ given as explicit functions of the coupling constant $\tau$ in closed form. We note the precise agreement of the EFT formula with supersymmetric localization even at low values of $n$, and discuss aspects of the post-EFT remainder contributed by the macroscopic virtual propagation of massive particles.