Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space

TL;DR

This paper derives the behavior of gluon and graviton correlators in Anti-de Sitter space in the soft limit, connecting flat space soft theorems with AdS correlators using bootstrap methods.

Contribution

It provides explicit formulae for soft limits of correlators in AdS, extending previous flat space results to arbitrary multiplicity via bootstrap techniques.

Findings

Derived soft limit formulae at four points from bootstrap data.

Extended soft limit results to any number of points.

Connected AdS correlator behavior with flat space soft theorems.

Abstract

We derive formulae for the soft limit of tree-level gluon and graviton correlators in Anti-de Sitter space, which arise from Feynman diagrams encoding the Weinberg soft theorems in flat space. Other types of diagrams can also contribute to the soft limit at leading order in the soft momentum, but have a different pole structure. We derive these results at four points using explicit formulae recently obtained from the cosmological bootstrap and double copy, and extend them to any multiplicity using bootstrap techniques in Mellin-momentum space.