Soft Gravity by Squaring Soft QED on the Celestial Sphere

Abstract

We recast the soft $S$-matrices on the celestial sphere as correlation functions of certain $2$-dimensional models of topological defects. In pointing out the double copy structure between the soft photon and soft graviton cases, we arrive at a putative classical double copy between the corresponding topological models and a rederivation of gauge invariance and the equivalence principle as Ward identities of the $2$-dimensional theories.

v3: 12 pages, references added

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Cited by in corpus (18)

• Scattering Amplitudes: Celestial and Carrollian
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Celestial holography on Kerr-Schild backgrounds
• Non-abelian infrared divergences on the celestial sphere
• Loop-level gluon OPEs in celestial holography
• The structure of IR divergences in celestial gluon amplitudes
• All-order celestial OPE from on-shell recursion
• The Holographic Soft $S$-Matrix in QED and Gravity
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• QED as a many-body theory of worldlines: I. General formalism and infrared structure
• Gauge and Gravity Amplitudes on the Celestial Sphere
• $p$-Forms on the Celestial Sphere
• Celestial IR divergences and the effective action of supertranslation modes
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• Celestial Holography
• Holographic Representations of Supertranslation Eigenstates
• Spin Multipole Expansion of the Memory Effect