Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$

Abstract

We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in $(2,0)$ supergravity on $Ad{S}_3\times S^3$, with two operators in tensor multiplet and the other two in gravity multiplet. This is achieved by solving the recursion relation arising from a hidden six-dimensional conformal symmetry. We note the compact expression is obtained after carefully analysing the analytic structures of the correlators. Various limits of the correlators are studied, including the maximally R-symmetry violating limit and flat-space limit.

23 pages, typos corrected, another MRV limit studied, version accepted by JHEP

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• Double Copy Relation for AdS