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2021

Bootstrapping $\mathcal{N}=4$ super-Yang-Mills on the conformal manifold

Chester, Shai M., Dempsey, Ross, Pufu, Silviu S.

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We combine supersymmetric localization results with numerical bootstrap techniques to compute upper bounds on the low-lying CFT data of ${\cal N} = 4$ super-Yang-Mills theory as a function of the complexified gauge coupling $\tau$.

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.

Bootstrapping $\mathcal{N}=4$ super-Yang-Mills on the conformal manifold · Around

Built on

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