Hydrodynamics of R-charged black holes

By D. Son, A. Starinets. 2006

280 citations recorded by the source corpus.

We consider hydrodynamics of = 4 supersymmetric SU(Nc) Yang-Mills plasma at a nonzero density of R-charge. In the regime of large Nc and large 't Hooft coupling the gravity dual description involves an asymptotically Anti- de Sitter five-dimensional charged black hole solution of Behrnd, Cvetic and Sabra. We compute the shear viscosity as a function of chemical potentials conjugated to the three U(1)⊂SO(6)R charges. The ratio of the shear viscosity to entropy density is independent of the chemical potentials and is equal to 1/4π. For a single charge black hole we also compute the thermal conductivity, and investigate the critical behavior of the transport coefficients near the boundary of thermodynamic stability.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fa4276d829f0874c259834b7adefaaea55edf429

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Citations in the corpus

Universality class of holographic superconductors (2009, methodology): “6 For example, it has been used to establish the universality of the shear viscosity [29–32].”
AdS/CFT Duality User Guide (2014, methodology): “ with the plasma constituents rather than the charm antiquark. The result is the suppression of J=Y production. These phenomena have been discussed in AdS/CFT. For example, consider the jet quenching [12, 13, 14, 15, 16, 17]. So far, we considered the static quark to obtain the potential. But in thi”
Electron stars for holographic metallic criticality (2010, unknown): “This black hole was therefore a natural starting point for investigations into strongly interacting finite density systems [15, 16, 17, 18].”
Holographic spectral functions and diffusion constants for fundamental matter (2007, background): “The dependence of the charge density on the chemical potential was found in [34].”
Nonlinear fluid dynamics from gravity (2007, unknown): “24 56 v4 [ ∗sayanta@theory.tifr.res.in †veronika.hubeny@durham.ac.uk ‡minwalla@theory.tifr.res.in §mukund.rangamani@durham.ac.uk Contents”
Entropy current in conformal hydrodynamics (2008, background): “A non-exhaustive list of references include [1, 2, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35] .”
Viscosity, Black Holes, and Quantum Field Theory (2007, background): “Recently, it was found that this ratio remains constant even at nonzero chemical potentials [46,47,48,49,50].”