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Abstract: We discuss recent developments in the hydrodynamic description of stronglycoupled conformal field theories using the AdS-CFT correspondence. Inparticular, we review aspects of the fluid-gravity correspondence whichprovides a map between a class of inhomogeneous, dynamical, black holesolutions in asymptotically AdS spacetimes and arbitrary fluid flows in thestrongly interacting boundary field theory. We explain how the geometric dualsto the fluid dynamics are constructed in a boundary derivative expansion anduse the construction to extract the hydrodynamic transport coefficients. Inaddition we also describe the recent developments extending the correspondenceto incorporate matter fields and to non-relativistic systems. Based on lecturesgiven at the CERN Winter School on Supergravity, Strings and Gauge Theories,Geneva, Switzerland February 2009.



Author: Mukund Rangamani

Source: https://arxiv.org/







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