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 via the holography in the large N limit. Due to the SL(2, 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. The same result is obtained more systematically by using a Laplace-difference equation for the integrated correlator.
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Hatsuda, Y., Okuyama, K. Large N expansion of an integrated correlator in \( \mathcal{N} \) = 4 SYM. J. High Energ. Phys. 2022, 86 (2022). https://doi.org/10.1007/JHEP11(2022)086
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DOI: https://doi.org/10.1007/JHEP11(2022)086