2019/04/30 by Dmitry Ponomarev, Ergin Sezgin, Evgeny Skvortsov · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep11(2019)138
25 pages, several figures; few comments added, the discussion of the incompleteness of Vasiliev equations reduced; replaced with the published version
arxiv created 2020/01/28 · arxiv updated 2020/01/29
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.