ABJM at strong coupling from M-theory, localization, and Lorentzian inversion

We study the stress tensor multiplet four-point function in 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level $k=2$, which large $N$ limit is holographically dual to weakly coupled M-theory on $AdS_4\times S^7/\mathbb{Z}_2$. use Lorentzian inversion compute 1-loop correction this holographic correlator coming from Witten diagrams supergravity $R$ and first higher derivative $R^4$ vertices, up a finite number of contact terms that contribute low spins where formula does not converge. find precise match corresponding 11d S-matrix by taking flat space limit, sensitive these terms. then conjecturally fix analytically continuing below its expected range convergence, verify conjecture using localization. Finally, we compare some CFT data non-perturbative bounds numerical conformal bootstrap, at unprecedently high accuracy, corrections saturate regime, extends previously observed tree level.