Non-universal shear viscosity from Einstein gravity

Abstract

A very famous result of gauge/gravity duality is the universality of the ratio of shear viscosity to entropy density in every field theory holographically dual to classical, two-derivative (Einstein) gravity. We present a way to obtain deviation form this universality by breaking the rotational symmetry spontaneously. In anisotropic fluids additional shear modes exist and their corresponding shear viscosities may be non-universal. We confirm this by explicitly calculating the shear viscosities in a transversely isotropic background, a p-wave superfluid, and study its critical behavior. This is a first decisive step towards further applications of gauge/gravity duality to physical systems.

11 pages, 2 figures. v2: small corrections

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Cited by in corpus (13)

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• Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma
• A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography
• Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
• Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography
• Towards a Holographic Realization of Homes' Law
• Non-equilibrium dynamics and $Ad{S}_4$ Robinson-Trautman
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• A modulated shear to entropy ratio
• Low temperature properties of holographic condensates
• Temperature dependent transport coefficients in a dynamical holographic QCD model
• Hall viscosity to entropy ratio in higher derivative theories