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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
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.
