Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.
Geiller,Celestial w1+∞charges and the subleading structure of asymptotically-flat spacetimes, 2403.05195
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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 proposed definition of asymptotically flat spacetimes enables proofs of antipodal matching conditions at spatial infinity for dual mass, shear tails, and peeling, expressed as boundary conservation laws.
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.
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Quasi-Local Celestial Charges and Multipoles
Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.
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Mixed-helicity bracket of celestial symmetries
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.
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A proof of conservation laws in gravitational scattering: tails and breaking of peeling
A proposed definition of asymptotically flat spacetimes enables proofs of antipodal matching conditions at spatial infinity for dual mass, shear tails, and peeling, expressed as boundary conservation laws.
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On symmetries of gravitational on-shell boundary action at null infinity
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.