2018/08/31 by Damon J. Binder, Binder, Damon J., Shai M. Chester +3 · 3 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1808.10554
54 pages, Mathematica notebook attached; v2 typos fixed
arxiv created 2019/06/18 · arxiv updated 2019/06/19
Supersymmetry allows a D4 R4 interaction in M-theory, but such an interaction is inconsistent with string theory dualities and so is known to be absent. We provide a novel proof of the absence of the D4 R4 M-theory interaction by calculating 4-point scattering amplitudes of 11d supergravitons from ABJM theory. This calculation extends a previous calculation performed to the order corresponding to the R4 interaction. The new ingredient in this extension is the interpretation of the fourth derivative of the mass deformed S3 partition function of ABJM theory, which can be determined using supersymmetric localization, as a constraint on the Mellin amplitude associated with the stress tensor multiplet 4-point function. As part of this computation, we relate the 4-point function of the superconformal primary of the stress tensor multiplet of any 3d \cal N = 8 SCFT to some of the 4-point functions of its superconformal descendants. We also provide a concise formula for a general integrated 4-point function on Sd for any d.