Holographic Three-Dimensional Fluids with Nontrivial Vorticity

TL;DR

This paper explores holographic models of three-dimensional fluids with vorticity, revealing novel vortex flows, horizons, and topological features using Taub-NUT-AdS4 geometries and boundary metric descriptions.

Contribution

It introduces the use of Taub-NUT-AdS4 geometries to model rotating fluids with vortex flow holographically, highlighting new horizon phenomena and topological effects.

Findings

Taub-NUT-AdS4 geometries produce vortex flows in holographic fluids.

Boundary metrics reveal acoustic and optical horizons in these fluids.

Misner strings lead to multi-valued scalar fluctuations and anyonic boundary vortex behavior.

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--AdS4 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 co-moving 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.