2021/07/31 by Luis F. Alday, Shai M. Chester, Himanshu Raj
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Conjecture #Inversion (geology) #Mathematical analysis #Mathematical physics #Mathematics #Multiplet #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Spins #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep02(2022)005
47 pages + appendices, 3 figures. v3 typos corrected, accepted to JHEP
arxiv created 2022/01/04 · openalex publication_date 2022/02/01 · arxiv updated 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level k = 2, which in the large N limit is holographically dual to weakly coupled M-theory on AdS 4 × S 7 / ℤ 2 . We use the Lorentzian inversion to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R 4 vertices, up to a finite number of contact terms that contribute to low spins where the inversion formula does not converge. We find a precise match with the corresponding terms in the 11d M-theory S-matrix by taking the flat space limit, which is not sensitive to these contact terms. We then conjecturally fix these contact terms by analytically continuing the inversion formula below its expected range of convergence, and verify this conjecture using supersymmetric localization. Finally, we compare some of the 1-loop CFT data to non-perturbative in N bounds from the numerical conformal bootstrap, which we compute at unprecedently high accuracy, and find that the 1-loop corrections saturate the bounds in the large N regime, which extends the previously observed match at tree level.