Higher-spin algebras from soft theorems I: the wedge condition
Abstract
In this article we use the subn-soft graviton theorems to construct the map 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 , in analogy with previous results in the literature for the subn-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 becomes a representation.
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