Citation

BibTex format

@article{Alday:2022:10.1007/jhep11(2022)091,
author = {Alday, LF and Chester, SM and Raj, H},
doi = {10.1007/jhep11(2022)091},
journal = {Journal of High Energy Physics},
title = {M-theory on AdS4 × S7 at 1-loop and beyond},
url = {http://dx.doi.org/10.1007/jhep11(2022)091},
volume = {2022},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>A<jats:sc>bstract</jats:sc>                     </jats:title><jats:p>We study graviton scattering on <jats:italic>AdS</jats:italic><jats:sub>4</jats:sub><jats:italic>× S</jats:italic><jats:sup>7</jats:sup>, which is dual to the stress tensor multiplet four-point function in the maximally supersymmetric 3d U(<jats:italic>N</jats:italic>)<jats:sub>1</jats:sub><jats:italic>×</jats:italic> U(<jats:italic>N</jats:italic>)<jats:sub><jats:italic>−</jats:italic>1</jats:sub> ABJM theory. We compute 1-loop corrections to this holographic correlator coming from Witten diagrams with supergravity <jats:italic>R</jats:italic> and higher derivative <jats:italic>R</jats:italic><jats:sup>4</jats:sup> 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 <jats:italic>AdS</jats:italic><jats:sub>4</jats:sub><jats:italic>× S</jats:italic><jats:sup>7</jats:sup><jats:italic>/</jats:italic><jats:sub>2</jats:sub> theory dual to U(<jats:italic>N</jats:italic>)<jats:sub>2</jats:sub><jats:italic>×</jats:italic> U(<jats:italic>N</jats:italic>)<jats:sub><jats:italic>−</jats:italic>2</jats:sub> 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 <jats:ital
AU  - Alday,LF
AU  - Chester,SM
AU  - Raj,H
DO  - 10.1007/jhep11(2022)091
PY  - 2022///
TI  - M-theory on AdS4 × S7 at 1-loop and beyond
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep11(2022)091
VL  - 2022
ER  -
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