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arXiv · 2207.01615

Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability

Simon Caron-Huot·Frank Coronado·Anh-Khoi Trinh·Zahra Zahraee
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Abstract

How much spectral information is needed to determine the correlation functions of a conformal theory? We study this question in the context of planar supersymmetric Yang-Mills theory, where integrability techniques accurately determine the single-trace spectrum at finite 't Hooft coupling. Corresponding OPE coefficients are constrained by dispersive sum rules, which implement crossing symmetry. Focusing on correlators of four stress-tensor multiplets, we construct combinations of sum rules which determine one-loop correlators, and we study a numerical bootstrap problem that nonperturbatively bounds planar OPE coefficients. We observe interesting cusps at the location of physical operators, and we obtain a nontrivial upper bound on the OPE coefficient of the Konishi operator outside the perturbative regime.

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Simon Caron-Huot, Frank Coronado, Anh-Khoi Trinh, Zahra Zahraee. 2022-07-04. Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability. https://doi.org/10.1007/jhep02(2023)083

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