On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS

Abstract

We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-s conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-s bulk to boundary propagators, coupled via the bulk gauge invariant interaction vertex. Our analysis relies on the general program advocated in hep-th/0308184 and some features of the embedding space formalism also play an important role.

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