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On one loop corrections in higher spin gravity

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Skvortsov,  Evgeny
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Ponomarev, D., Sezgin, E., & Skvortsov, E. (2019). On one loop corrections in higher spin gravity. Journal of High Energy Physics, 2019 (11): 138. doi:10.1007/JHEP11(2019)138.


Cite as: https://hdl.handle.net/21.11116/0000-0003-54A2-7
Abstract
We propose an approach to compute one-loop corrections to the four-point
amplitude in the higher spin gravities that are holographically dual to free
$O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut
of one-loop diagrams by expressing them in terms of tree level four-point
amplitudes. We then discuss how the remaining contributions to the complete
one-loop diagram can be computed. With certain assumptions we find nontrivial
evidence for the shift in the identification of the bulk coupling constant and
$1/N$ in accordance with the previously established result for the vacuum
energy.