Absence of D 4 R 4 in M-theory from ABJM

Absence of D 4 R 4 in M-theory from ABJM

Blog Article

Abstract Supersymmetry allows a D 4 R 4 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 D 4 R 4 M-theory interaction by calculating 4-point scattering amplitudes of u11-200ps 11d supergravitons from ABJM theory.This calculation extends a previous calculation performed to the order corresponding to the R 4 interaction.The new ingre- dient in this extension is the interpretation of the fourth derivative of the mass deformed S 3 partition function of ABJM theory, which can be determined using supersymmetric localization, as a constraint on the Mellin amplitude associated with the stress tensor mul- tiplet 4-point function.

As part of this computation, we relate the 4-point function of the superconformal primary of the stress tensor chicago cubs earrings multiplet of any 3d N $$ mathcal{N} $$ = 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 S d for any d.