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


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
Issue number1
StatePublished - Jan 2023

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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


Dive into the research topics of 'Bootstrapping N = 4 super-Yang-Mills on the conformal manifold'. Together they form a unique fingerprint.

Cite this