Large R-charge EFT correlators in N=2 SQCD

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.

64 pages, 2 figures

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Cited by in corpus (1)

• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge