Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2016)074
Keywords
Holography and condensed matter physics (AdS/CMT); Gauge-gravity correspondence; Space-Time Symmetries
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Funding
- Spanish Ministry MEC [FPA2014-55613-P]
- Severo Ochoa excellence program of MINECO [SO-2012-0234]
- Generalitat de Catalunya [2014-SGR-1450]
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We argue that the Kovtun-Son-Starinets (KSS) lower bound on the viscosity to entropy density ratio holds in fluid systems but is violated in solid materials with a nonzero shear elastic modulus. We construct explicit examples of this by applying the standard gauge/gravity duality methods to massive gravity and show that the KSS bound is clearly violated in black brane solutions whenever the massive gravity theories are of s o l i d type. We argue that the physical reason for the bound violation relies on the viscoelastic nature of the mechanical response in these materials. We speculate on whether any real-world materials can violate the bound and discuss a possible generalization of the bound that involves the ratio of the shear elastic modulus to the pressure.
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