Plasmarings as dual black rings

TL;DR

<3-5 sentence high-level summary> Using a long-wavelength, fluid-dynamical description of the deconfined phase of N=4 SYM on a Scherk-Schwarz circle, the paper constructs stationary, rigidly rotating plasmaballs and plasmarings in 3D (and extends to 4D) as exact solutions to relativistic Navier-Stokes with surface tension. These configurations are dual to rotating black holes and black rings in Scherk-Schwarz compactified AdS spaces, and exhibit phase structure and stability properties analogous to their gravitational counterparts. The work analyzes existence, thermodynamics, and turning-point stability, compares to flat-space black rings, and discusses higher-dimensional generalizations and limitations of the fluid-dynamics approach. It provides a first-principles link between horizon topology and fluid configurations, with potential insights for the dual bulk geometries.

Abstract

We construct solutions to the relativistic Navier-Stokes equations that describe the long wavelength collective dynamics of the deconfined plasma phase of N=4 Yang Mills theory compactified down to d=3 on a Scherk-Schwarz circle and higher dimensional generalisations. Our solutions are stationary, axially symmetric spinning balls and rings of plasma. These solutions, which are dual to (yet to be constructed) rotating black holes and black rings in Scherk-Schwarz compactified AdS(5) and AdS(6), and have properties that are qualitatively similar to those of black holes and black rings in flat five dimensional supergravity.

Figures (18)

• Figure 1: (a) Regions where ball and ring solutions exist, (b) their entropy as a function of angular momentum at fixed energy.
• Figure 2: Spinning ball and ring solutions.
• Figure 3: Graph of $g_\pm(v)$ showing possible values of $v_{o,i}$
• Figure 4: Scatter plots of energy and angular momentum of (a) spinning balls and (b) rings.
• Figure 5: Regions where (a) ball and (b) ring solutions exist.