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We present strong evidence that the sub-subleading soft theorem in semi-classical (tree level) gravity discovered by Cachazo and Strominger is equivalent to the conservation of asymptotic charges associated to a new class of vector fields not contained within the previous extensions of BMS algebra.
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M. Campiglia, A. Laddha, “Subleading soft photons and large gauge transformations”, arXiv:1605.09677
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M. Campiglia, A. Laddha “New symmetries for the Gravitational S-matrix”, JHEP 1504
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S. G. Avery and B. U. W. Schwab, “BMS symmetry, string theory, and soft theorems,” Phys. Rev. D 93
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