AdS amplitudes as CFT correlators

TL;DR

This paper demonstrates that AdS amplitudes can be exactly represented as CFT correlators by satisfying conformal Ward identities, providing explicit formulas linking bulk data to boundary correlators.

Contribution

It establishes a general proof that AdS amplitudes are equivalent to CFT correlators to all loop orders, with explicit formulas relating bulk and boundary data.

Findings

AdS amplitudes obey conformal Ward identities at all loop levels.

Explicit formulas connect bulk data to boundary CFT correlators.

The work confirms the duality between AdS and CFT in a precise, calculable manner.

Abstract

We show that AdS amplitudes are CFT correlators to all orders in the loop expansion by showing that they obey the conformal Ward identities. In particular, we provide explicit formulas for the constants and functions of cross-ratios that determine the CFT correlators in terms of bulk data.