Bootstrapping N = 4 super-Yang-Mills on the conformal manifold

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

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number38
JournalJournal of High Energy Physics
Volume2023
Issue number1
DOIs
StatePublished - Jan 2023

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • AdS-CFT Correspondence
  • Conformal and W Symmetry
  • Nonperturbative Effects
  • Supersymmetric Gauge Theory

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