Applied Holography of the AdS${}_5$-Kerr Spacetime

Abstract

Asymptotically Anti-de Sitter Kerr black holes (we focus here on the five-dimensional case) are associated holographically with matter at conformal infinity which has a non-zero angular momentum density. It is natural to attempt to associate this angular momentum with the recently discovered vorticity of the plasmas produced in peripheral heavy-ion collisions. We assume that an AdS${}_5$-Kerr black hole with angular momentum to mass ratio $\mathcal{A}$ is dual to boundary matter with an angular momentum density to energy density ratio also equal to $\mathcal{A}$. With this assumption, we find that, for collisions corresponding to a given value of $\mathcal{A}$, there is a maximal possible angular velocity (well below the maximal value permitted by causality) for such matter at infinity, and that this value is in approximate agreement with the experimentally reported value of the average plasma vorticity produced in typical peripheral collisions of heavy ions.

23 pages, 1 figure

References in corpus (12)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Viscosity, Black Holes, and Quantum Field Theory
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Angular momentum conservation in heavy ion collisions at very high energy
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• A Rotating Holographic Superconductor
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
• $\Lambda$ and $\bar{\Lambda }$ spin interaction with meson fields generated by the baryon current in high energy nuclear collisions
• Vorticity and hyperon polarization at NICA energies
• Holographic Heavy-Ion Collisions: Analytic Solutions with Longitudinal Flow, Elliptic Flow and Vorticity

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• Cosmic Censorship for AdS${}_5$-Kerr
• Holography of Low-Centrality Heavy Ion Collisions
• Spiraling String in Gauss-Bonnet Geometry
• The Interior Volume of Kerr-AdS Black Holes
• Why is Black Hole Entropy Affected by Rotation?
• Holographic Dual of The Weak Gravity Conjecture
• Remarks on holographic models of the Kerr-AdS${}_5$ geometry
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds