Abstract
We combine supersymmetric localization results with numerical bootstrap techniques to compute upper bounds on the low-lying CFT data of \( \mathcal{N} \) = 4 super-Yang-Mills theory as a function of the complexified gauge coupling τ. In particular, from the stress tensor multiplet four-point function, we extract the scaling dimension of the lowest-lying unprotected scalar operator and its OPE coefficient. While our method can be applied in principle to any gauge group G, we focus on G = SU(2) and SU(3) for simplicity. At weak coupling, the upper bounds we find are very close to the corresponding four-loop results. We also give preliminary evidence that these upper bounds become small islands under reasonable assumptions.
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Chester, S.M., Dempsey, R. & Pufu, S.S. Bootstrapping \( \mathcal{N} \) = 4 super-Yang-Mills on the conformal manifold. J. High Energ. Phys. 2023, 38 (2023). https://doi.org/10.1007/JHEP01(2023)038
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DOI: https://doi.org/10.1007/JHEP01(2023)038