Mixed-helicity sector of celestial symmetries and the shadow transform

Combining opposite graviton helicities complicates the enlarged symmetry algebra at null infinity. This talk analyses higher-spin gravitational charges using covariant phase space. Restricting one helicity to a wedge sector yields a closed bracket structure in which the shadow transform is central, and produces a dual-mass extension of lower-spin BMS symmetries. A correspondence with celestial operator products then resolves soft-limit ordering ambiguities and computes products involving shadow-transformed soft gravitons.