The 3d N = 6 bootstrap: from higher spins to strings to membranes

Damon J. Binder, Shai M. Chester, Max Jerdee, Silviu S. Pufu

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We study the space of 3d N = 6 SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the N = 6 U(N)k × U(N + M)−k Chern-Simons-matter theories to determine two protected OPE coefficients for many values of N, M, k. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of N, k at M = 0, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small k and string theory duals at large k. We also present evidence that the localization results for the U(1)2M × U (1 + M)−2M theory, which has a vector-like large-M limit dual to higher spin theory, saturates the bootstrap bounds for certain protected CFT data. The extremal functional allows us to then conjecturally reconstruct low-lying CFT data for this theory.

Original languageEnglish (US)
Article number83
JournalJournal of High Energy Physics
Issue number5
StatePublished - May 2021

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT Correspondence
  • Conformal and W Symmetry
  • Extended Supersymmetry
  • Higher Spin Symmetry


Dive into the research topics of 'The 3d N = 6 bootstrap: from higher spins to strings to membranes'. Together they form a unique fingerprint.

Cite this