Kavli Affiliate: Simeon Hellerman

| First 5 Authors: Simeon Hellerman, Domenico Orlando, , ,

| Summary:

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.

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