The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.
Fern´ andez,One-loop corrections to the celestial chiral algebra from Koszul Duality,JHEP 04(2023) 124 [2302.14292]
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In planar N=4 SYM the IR-finite hard amplitude satisfies an uncorrected tree-level soft theorem and represents the undeformed tree-level S-algebra of soft gluons.
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Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap
The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.
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Soft Algebra for ${\cal N}=4$ SYM
In planar N=4 SYM the IR-finite hard amplitude satisfies an uncorrected tree-level soft theorem and represents the undeformed tree-level S-algebra of soft gluons.