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We identify in Einstein gravity an asymptotic spin-$2$ charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem.
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H. Godazgar, M. Godazgar and C. Pope, Tower of subleading dual BMS charges , JHEP 03
2019
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L. Donnay and R. Ruzziconi, BMS flux algebra in celestial holography , JHEP 11
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