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Bootstrapping N=4 sYM correlators using integrability
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DOI：10.1007/JHEP02(2023)083.png)
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Abstract
En 中文
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.
Keywords:
Supersymmetric Gauge Theory
1/N Expansion
Integrable Field Theories
Nonperturbative Effects
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W