We combine supersymmetric localization results with numerical bootstrap techniques to compute upper bounds on the low-lying CFT data of 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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- AdS-CFT Correspondence
- Conformal and W Symmetry
- Nonperturbative Effects
- Supersymmetric Gauge Theory