On black hole supertranslations and hydrodynamic enstrophy

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).

5 pages, reference added, matches published version

References in corpus (3)

• Nonlinear Fluid Dynamics from Gravity
• On the Membrane Paradigm and Spontaneous Breaking of Horizon BMS Symmetries
• Enstrophy without boost symmetry