1/N effects in non-relativistic gauge-gravity duality

Abstract

We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to nite renormalization of the dynamical exponent of the dual conformal eld theory. Our argument includes a proof of the non-renormalization of the Schr odinger and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case. We use this e ect 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.