Soft limits of gluon amplitudes in holography and cosmology

TL;DR

This paper explores the behavior of gluon amplitudes in curved spacetimes like AdS, revealing new relations and structures that could deepen understanding of gauge theories and holography.

Contribution

It extends soft limit analysis to (Anti) de Sitter spaces, uncovering relations between higher and lower point amplitudes in curved backgrounds.

Findings

Derived schematic relations between (n+1)-point and n-point amplitudes in AdS.

Provided explicit results for 4-point amplitudes in AdS_{d+1}.

Reorganized perturbation theory to match flat space unitarity in AdS.

Abstract

In this work, we extend the study of soft limits to (Anti) de Sitter spaces, investigating the analytic structure of holographic gluon correlators as part of a broader effort to reveal new symmetries and fundamental structures in gauge theories. By reorganizing perturbation theory in AdS to align with flat space unitarity, we analyze the contributions intrinsic to curved spacetime and their behavior in the soft limit. Our analysis uncovers schematic relations between $(n+1)$-point amplitude and $n$-point transition amplitudes in arbitrary-dimensional AdS, with explicit results derived for $n=4$ in AdS$_{d+1}$.