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On one loop corrections in higher spin gravity

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

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Fulltext (public)

1904.01042.pdf
(Preprint), 489KB

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Citation

Ponomarev, D., Sezgin, E., & Skvortsov, E. (in preparation). On one loop corrections in higher spin gravity.


Cite as: http://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.