All Next-to-Next-to-Extremal One-Loop Correlators of AdS Supergluons and Supergravitons

TL;DR

This paper develops a bootstrap approach to compute all next-next-to-extremal one-loop four-point correlators of supergravitons and supergluons in AdS_5, providing explicit formulas valid in position and Mellin space.

Contribution

It introduces a differential representation method to derive closed-form expressions for complex one-loop correlators in AdS/CFT.

Findings

Derived all next-next-to-extremal one-loop four-point correlators

Provided formulas valid in both position and Mellin space

Enhanced understanding of supergravity and supergluon interactions in AdS_5

Abstract

We bootstrap all of the next-next-to-extremal one-loop four-point correlators of supergravitons and supergluons in ${\rm AdS_5}$ using a differential representation, and obtain closed formulas that are valid in both position space and Mellin space simultaneously.