Kavli Affiliate: Simeon Hellerman
| Summary:
We consider large-R-charge Coulomb branch correlation functions in $mathcalN = 2$ 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, $G_2n^text(EFT) = frac2^4nZ_S^4[τ] Γ(2n + 5/2) e^A[τ]n + B[τ]$ with $A[τ]$ and $B[τ]$ given as explicit functions of the coupling constant $τ$ 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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