Loop corrections versus marginal deformation in celestial holography

TL;DR

This paper connects infrared divergences in 4D QED and gravity amplitudes to marginal deformations in celestial holography, providing a geometric interpretation and extending the holographic framework beyond perturbation theory.

Contribution

It introduces a dual interpretation of IR-divergent factors as marginal deformations with a double-current structure in celestial CFT, linking loop corrections to geometric transitions in the bulk.

Findings

Universal IR divergences correspond to marginal deformations in CCFT.

A geometric representation via topological gauging describes vacuum moduli space transitions.

Establishes a concrete dictionary linking loop corrections to celestial holography.

Abstract

Four-dimensional all-loop amplitudes in QED and gravity exhibit universal Infrared (IR) singularities with a factorization structure. This structure is governed by tree amplitudes and a universal IR-divergent factor representing the exchange of soft particles between external lines. This letter offers a precise dual interpretation of these universal IR-divergent factors within celestial holography. Considering the tree amplitude as the foundation of the celestial conformal field theory (CCFT), these universal factors correspond to marginal deformations with a \textit{double-current} construction in the CCFT. Remarkably, a novel geometric representation of these deformations through topological gauging provides an exact description of transitions within bulk vacuum moduli spaces which extends the celestial holography beyond the perturbative level. Our findings establish a concrete dictionary for celestial holography and offer a holographic lens to understand loop corrections in scattering amplitudes.