Bulk quartic vertices from boundary four-point correlators

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.

13 pages. Contribution to the proceedings of the "International Workshop on Higher Spin Gauge Theories" (4-6 November 2015, Singapore)

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