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We present a compact formula in Mellin space for the four-point tree-levelholographic correlators of chiral primary operators of arbitrary conformalweights in $(2,0)$ supergravity on $AdS_3 \times S^3$, with two operators intensor multiplet and the other two in gravity multiplet. This is achieved bysolving the recursion relation arising from a hidden six-dimensional conformalsymmetry. We note the compact expression is obtained after carefully analysingthe analytic structures of the correlators. Various limits of the correlatorsare studied, including the maximally R-symmetry violating limit and flat-spacelimit.

Notes on gravity multiplet correlators in $AdS_3 \times S^3$