期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2020)052
关键词
AdS-CFT Correspondence; Extended Supersymmetry; M-Theory
资金
- Simons Foundation [488651]
- General Sir John Monash Foundation
- Bershadsky Family Scholarship in Science or Engineering
Supersymmetry allows a (DR4)-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 (DR4)-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.
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