1/N Effects in Non-Relativistic Gauge-Gravity Duality

Details 1/N Effects in Non-Relativistic Gauge-Gravity Duality 1/N Effects in Non-Relativistic Gauge-Gravity Duality

2008-12-01

arxiv.org/abs/0812.0166v1

JHEP 0903:097,2009

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, latex

Scientific paper

10.1088/1126-6708/2009/03/097

We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to finite renormalization of the dynamical exponent of the dual conformal field theory. Our argument includes a proof of the non-renormalization of the Schrodinger and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case. We use this effect to construct string-theory duals of non-relativistic critical systems with non-integer dynamical exponents, then use these duals to predict the viscosity/entropy ratios of these systems. The predicted values weakly violate the KSS bound.

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