Magnetically-Charged Black Branes and Viscosity/Entropy Ratios

Abstract

We consider asymptotically-AdS $n$-dimensional black brane solutions in a theory of gravity coupled to a set of $N$ $p$-form field strengths, in which the field strengths carry magnetic charges. For appropriately chosen charges, the metrics are isotropic in the $(n-2)$ transverse directions. However, in general the field strength configurations break the full Euclidean symmetry of the $(n-2)$-dimensional transverse space. We then study the linearised equation for transverse traceless metric perturbations in these backgrounds, and by employing the Kubo formula we obtain expressions for $\eta /S$, the ratio of shear viscosity to entropy density. We find that the KSS bound on the ratio $\eta /S$ is generally violated in these solutions. We also extend the discussion by including also a dilatonic scalar field in the theory, leading to solutions that are asymptotically Lifshitz with hyperscaling violation.

References added. 21 pages

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Cited by in corpus (11)

• Quasi-Topological Ricci Polynomial Gravities
• Butterfly Velocity Bound and Reverse Isoperimetric Inequality
• Black branes in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity
• Holographic Studies of The Generic Massless Cubic Gravities
• Exploring the black hole spectrum of axionic Horndeski theory
• A New Approach to Non-Abelian Hydrodynamics
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Breaking rotations without violating the KSS viscosity bound
• New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes
• Shear viscoelasticity in anisotropic holographic axion model