### 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 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 multiplet of any 3d 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.

Original language | English (US) |
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Article number | 52 |

Journal | Journal of High Energy Physics |

Volume | 2020 |

Issue number | 4 |

DOIs | |

State | Published - Apr 1 2020 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- AdS-CFT Correspondence
- Extended Supersymmetry
- M-Theory

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## Cite this

^{4}R

^{4}in M-theory from ABJM.

*Journal of High Energy Physics*,

*2020*(4), [52]. https://doi.org/10.1007/JHEP04(2020)052