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- W4302172935 abstract "Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in $mathcal{N}=4$ supersymmetric Yang-Mills theory. In this work, we investigate its large $N$ limit in detail. We show that the formula of Dorigoni, Green and Wen can be recast into the sum over the contributions of $(p,q)$-strings. Due to the $SL(2,mathbb{Z})$ duality, all the contributions are governed by a single function, typically appearing as the fundamental string contribution. The large order behavior for the perturbative genus expansion of this function allows us to reveal the large $N$ non-perturbative corrections, which we interpret as the D3-brane instantons in the holographically dual type IIB string theory. The same result is obtained more systematically by using a Laplace-difference equation for the integrated correlator." @default.
- W4302172935 created "2022-10-06" @default.
- W4302172935 creator A5054988163 @default.
- W4302172935 creator A5058442833 @default.
- W4302172935 date "2022-08-03" @default.
- W4302172935 modified "2023-09-28" @default.
- W4302172935 title "Large $N$ expansion of an integrated correlator in $mathcal{N}=4$ SYM" @default.
- W4302172935 doi "https://doi.org/10.48550/arxiv.2208.01891" @default.
- W4302172935 hasPublicationYear "2022" @default.
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