Kaluza-Klein Five-Point Functions from ${\text{AdS}}_5\times S_5$ Supergravity

Abstract

We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on $Ad{S}_5\times S^5$. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute correlators of higher Kaluza-Klein modes. The new method uses only factorization and a superconformal twist, and is entirely within Mellin space where the analytic structure of holographic correlators is simpler. Using this method, we obtain in a closed form all five-point functions of the form $⟨pp222⟩$, extending the earlier result for $p=2$. As a byproduct of our analysis, we also obtain explicit results for spinning four-point functions of higher Kaluza-Klein modes.

43 pages, 2 figures