Derives finite-energy hard celestial current algebra and its one-cocycle from the BMS dipole Ward identity, mapping the hard-hard residue to a two-particle primary module via Plancherel transform.
Deformedw 1+∞ Algebras in the Celestial CFT,
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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.
Restricting one helicity to the wedge sector and introducing shadow charges yields closed mixed-helicity algebras for all spins in gravity and gauge theory, plus dual mass BMS extensions and non-vanishing electromagnetic central charges.
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
Bulk double soft limits introduce subtleties absent from boundary celestial CFTs, so the full soft expansion of gravitational amplitudes cannot be generated from the first three terms via celestial algebras.
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Carrollian Perspective on Celestial Holography
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.