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Bulk quartic vertices from boundary four-point correlators

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arxiv 1602.08570 v1 pith:P2W3PRZB submitted 2016-02-27 hep-th

Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight This is my paper · ORCID
classification hep-th
keywords bulkfour-pointgravityhigher-spinamplitudeargumentsboundarycase
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abstract

We present arguments which suggest that the bulk higher-spin gravity duals of weakly-coupled conformal field theories obey some refined notion of locality. In particular, we discuss the Mellin amplitude programme in this context. We focus on the $O(N)$ vector model and minimal higher-spin gravity as a paradigmatic example of such holographic dual pairs. We restrict ourselves to three- and four-point functions of scalar primary operators, but the qualitative conclusions are expected to hold for the generic case.

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  1. From bulk loops to boundary large-N expansion

    hep-th 2019-08 conditional novelty 6.0 of 10

    The singular part of a one-loop four-point Witten diagram with a double-particle cut equals a product of tree-level subdiagram coefficients divided by a mean-field-theory coefficient.

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