Holographic three-dimensional fluids with nontrivial vorticity

Abstract

Three-dimensional fluids with nontrivial vorticity can be described holographically. It is well known that the Kerr-AdS geometry gives rise to a cyclonic flow. Here we note that Taub-NUT-${\mathrm{AdS}}_{4}$ geometries give rise to a rotating fluid with vortex flow. The Randers and Zermelo forms of the boundary metrics provide alternative descriptions of the fluid by inertial comoving or by accelerated observers. Such fluids possess acoustic horizons. Moreover, light propagation on the boundary Taub-NUT fluid will encounter an optical horizon associated with closed timelike curves. In the latter case the Misner string introduces a multi-valuedness of the scalar fluctuations which can be attributed to the anyonic nature of the boundary vortex.