S-duality and correlation functions at large R-charge

Kavli Affiliate: Simeon Hellerman

| First 5 Authors: Simeon Hellerman, Shunsuke Maeda, Domenico Orlando, Susanne Reffert, Masataka Watanabe

| Summary:

We study the ratio of pairs of adjacent correlators of Coulomb-branch
operators in $SU(2)$ $mathcal{N}=2$ SQCD with four flavors within the
framework of the Large Quantum Number Expansion. Capitalizing on the
order-by-order S-duality invariance of the large-R-charge expansion we compute
ab initio the dependence of the leading large-$mathcal{J}$ behavior on the
marginal coupling $tau$ and we find excellent agreement with numerical
estimates from localization.

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