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Mellin Amplitudes for Supergravity on AdS_{5}×S^{5}.

We revisit the calculation of holographic correlation functions in type-IIB supergravity on AdS_{5}×S^{5}. Results for four-point functions simplify drastically when expressed in Mellin space. We conjecture a compact formula for the four-point functions of one-half Bogomol'nyi-Prasad-Sommerfield single-trace operators of arbitrary weight. Our methods rely on general consistency conditions and eschew detailed knowledge of the supergravity effective action.

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