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| Paper IPM / P / 17066 | ||||||||||||||||||||||||||||
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We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface N as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of N and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over N. These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through N. In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, Nv for any fixed value of the advanced time v. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through N, imprinted in a change of the surface charges.
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