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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Ponomarev, D., Sezgin, E. & Skvortsov, E. On one loop corrections in higher spin gravity. J. High Energ. Phys. 2019, 138 (2019). https://doi.org/10.1007/JHEP11(2019)138
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DOI: https://doi.org/10.1007/JHEP11(2019)138