1/N effects in non-relativistic gauge-gravity duality
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Author(s) • • •
Adams, Allan
Maloney, Alexander
Sinha, Aninda
Vazquez, Samuel E.
Date Issued
March 2009
Journal
Journal of High Energy Physics
Publisher
Institute of Physics
Citation
Adams, Allan et al. “1/N effects in non-relativistic gauge-gravity duality.” Journal of High Energy Physics 2009.03 (2009): 097.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
http://dx.doi.org/10.1088/1126-6708/2009/03/097