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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

Bulk quartic vertices from boundary four-point correlators

classification hep-th
keywords bulkfour-pointgravityhigher-spinamplitudeargumentsboundarycase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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