Mukund Rangamani 2009 Class. Quantum Grav. 26 224003 doi:10.1088/0264-9381/26/22/224003
Mukund Rangamani
Show affiliationsWe discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluid-gravity correspondence which provides a map between a class of inhomogeneous, dynamical, black hole solutions in asymptotically AdS spacetimes and arbitrary fluid flows in the strongly interacting boundary field theory. We explain how the geometric duals to the fluid dynamics are constructed in a boundary derivative expansion and use the construction to extract the hydrodynamic transport coefficients. In addition, we also describe the recent developments extending the correspondence to incorporate matter fields and to non-relativistic systems. Based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge Theories, Geneva, Switzerland (February 2009).
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
81T40 Two-dimensional field theories, conformal field theories, etc.
Issue 22 (21 November 2009)
Received 1 September 2009
Published 23 October 2009
Mukund Rangamani 2009 Class. Quantum Grav. 26 224003
Sean A Hartnoll 2009 Class. Quantum Grav. 26 224002
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