Mellin amplitudes for $AdS_5\times S^5$

TL;DR

This paper presents a simplified Mellin space approach to calculating holographic four-point functions in IIB supergravity on AdS_5×S^5, proposing a compact formula for BPS operators that avoids detailed supergravity action knowledge.

Contribution

It introduces a conjectured compact formula for four-point functions of BPS operators in Mellin space, simplifying previous complex calculations.

Findings

Mellin space simplifies holographic correlator calculations

Proposed a universal formula for BPS four-point functions

Methods rely on consistency conditions, not detailed supergravity action

Abstract

We revisit the calculation of holographic correlation functions in IIB supergravity on $AdS_5\times S^5$. 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 BPS single-trace operators of arbitrary weight. Our methods rely on general consistency conditions and eschew detailed knowledge of the supergravity effective action.