Towards the higher point holographic momentum space amplitudes II: Gravitons

Abstract

In this follow up paper, we calculate higher point tree level graviton Witten diagrams in AdS${}_4$ via bulk perturbation theory. We show that by rearranging the bulk to bulk graviton propagators, the calculations effectively reduce to the computation of a scalar factor. Analogous to the amplitudes for vector boson interactions we computed in the previous paper, scalar factors for the graviton exchange diagrams also become relatively simple when written in momentum space. We explicitly calculate higher point correlators and discuss how this momentum space formalism makes flat space and collinear limits simpler.

arXiv comment27 pages, 3 figures; journal version

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• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space