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On black hole supertranslations and hydrodynamic enstrophy

Published 31 Oct 2021 in hep-th and gr-qc | (2111.00544v2)

Abstract: We study the relation between approximate horizon symmetries of AdS black branes and approximately conserved currents in their dual hydrodynamic description. We argue that the existence of an approximately conserved enstrophy current unique to $2+1$ dimensional fluid flow implies that AdS${}_4$ black branes possess a special class of approximate supertranslations (which we identify).

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