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On one loop corrections in higher spin gravity

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arxiv 1904.01042 v2 pith:GER6SMI5 submitted 2019-04-01 hep-th

On one loop corrections in higher spin gravity

classification hep-th
keywords one-loopcomputecorrectionsfour-pointhigherspinaccordanceamplitude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    hep-th 2019-06 unverdicted novelty 8.0

    The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS...