S-duality and correlation functions at large R-charge

Abstract

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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• Yukawa interactions at Large Charge
• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• Operator spectrum of nonrelativistic CFTs at large charge
• OPE coefficients in Argyres-Douglas theories
• Chern-Simons-Matter Theories at Large Baryon Number
• Asymptotics in the bi-Yang-Baxter Sigma Model
• Semiclassics of three-dimensional SCFTs from holography