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arXiv · 1602.08570

Bulk quartic vertices from boundary four-point correlators

Xavier Bekaert·Johanna Erdmenger·Dmitry Ponomarev·Charlotte Sleight
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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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Xavier Bekaert, Johanna Erdmenger, Dmitry Ponomarev, Charlotte Sleight. 2016-02-27. Bulk quartic vertices from boundary four-point correlators. https://doi.org/10.1142/9789813144101_0015

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