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arXiv · 2005.03021

S-duality and correlation functions at large R-charge

Simeon Hellerman·Shunsuke Maeda·Domenico Orlando·Susanne Reffert·Masataka Watanabe
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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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Simeon Hellerman, Shunsuke Maeda, Domenico Orlando, Susanne Reffert, Masataka Watanabe. 2020-05-06. S-duality and correlation functions at large R-charge. https://doi.org/10.1007/jhep04(2021)287

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