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arXiv · 1904.01042

On one loop corrections in higher spin gravity

Dmitry Ponomarev·Ergin Sezgin·Evgeny Skvortsov
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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.

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Dmitry Ponomarev, Ergin Sezgin, Evgeny Skvortsov. 2019-04-01. On one loop corrections in higher spin gravity. https://doi.org/10.1007/jhep11(2019)138

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