Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model

Abstract

We construct charged black hole solutions with hyperscaling violation in the infrared(IR) region in Einstein-Maxwell-Dilaton-Axion theory and investigate the temperature behavior of the ratio of holographic shear viscosity to the entropy density. When translational symmetry breaking is relevant in the IR, the power law of the ratio is testified numerically at low temperature $T$, namely, $\eta /s\sim T^{\kappa }$, where the values of exponent $\kappa$ coincide with the analytical results. We also find that the exponent $\kappa$ is not affected by irrelevant current, but is reduced by the relevant current.

arXiv comment12 pages, 6 figures

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• Linear-$T$ resistivity from low to high temperature: axion-dilaton theories
• A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory
• Viscosity for Anisotropic Reissner Nordström Blackbranes
• Notes on hyperscaling violating Lifshitz and shear diffusion
• Deep learning-based holography for T-linear resistivity
• Flow of shear response functions in hyperscaling violating Lifshitz theories
• Shear viscoelasticity in anisotropic holographic axion model