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- W4288043313 abstract "We study graviton scattering on $AdS_4times S^7$, which is dual to the stress tensor multiplet four-point function in the maximally supersymmetric 3d $U(N)_1times U(N)_{-1}$ ABJM theory. We compute 1-loop corrections to this holographic correlator coming from Witten diagrams with supergravity $R$ and higher derivative $R^4$ vertices, up to contact term ambiguities, and find that the flat space limit matches the corresponding terms in the 11d M-theory S-matrix. We then use supersymmetric localization to show that all the 1-loop contact terms vanish, as was previously observed for the $AdS_4times S^7/mathbb{Z}_2$ theory dual to $U(N)_2times U(N)_{-2}$ ABJM. Finally, we use the recent localization results of Gaiotto and Abajian, as inspired by twisted M-theory, to compute all the short OPE coefficients in correlators of the stress tensor multiplet and the next lowest half-BPS operator, which we find saturate the bootstrap bounds on these mixed correlators for all $N$." @default.
- W4288043313 created "2022-07-27" @default.
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- W4288043313 date "2022-07-22" @default.
- W4288043313 modified "2023-09-28" @default.
- W4288043313 title "M-theory on $AdS_4times S^7$ at 1-loop and beyond" @default.
- W4288043313 doi "https://doi.org/10.48550/arxiv.2207.11138" @default.
- W4288043313 hasPublicationYear "2022" @default.
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