English

Higher-spin algebras from soft theorems I: the wedge condition

High Energy Physics - Theory 2026-05-11 v1

Abstract

In this article we use the subn^n-soft graviton theorems to construct the map \Top\Top from the spin-graded set of holomorphic functions on local celestial sphere patches to differential operators acting on the asymptotic data for massless particles at \scrip\scrip, in analogy with previous results in the literature for the subn^n-soft photon theorems. The result is an explicit closed-form formula. We show that the wedge subalgebras for both Yang-Mills and gravity are the natural domain on which \Top\Top becomes a representation.

Keywords

Cite

@article{arxiv.2605.07864,
  title  = {Higher-spin algebras from soft theorems I: the wedge condition},
  author = {Mathias Charbonnier and Javier Peraza},
  journal= {arXiv preprint arXiv:2605.07864},
  year   = {2026}
}
R2 v1 2026-07-01T12:57:58.453Z