Gravity and hydrodynamics: lectures on the fluid-gravity correspondence

By M. Rangamani. 2009

397 citations recorded by the source corpus.

We 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).

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2986184bb7f4249f849ee4c6b19bfc2e259aca95

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Citations in the corpus

Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “We will refer the reader to the vast literature on hydrodynamic constitutive relations which have been computed (in certain cases up to the second order in the gradient expansion); see [52, 57] for a partial summary of certain results in the past few years.”
Constraints on fluid dynamics from equilibrium partition functions (2012, methodology): “However our work is motivated by the potential utility of our results in an investigation of the constraints imposed by the second law of thermodynamics on higher derivative corrections to Einstein’s equations [12], via the Fluid - Gravity map of AdS/CFT ([13], see [14, 15] for reviews).”
The fluid/gravity correspondence: a new perspective on the membrane paradigm (2010, positive): “construction was subsequently generalized to other contexts, as reviewed in [16].”
Integrating out geometry: holographic Wilsonian RG and the membrane paradigm (2010, result): “Note that in previous studies of the fluid/gravity correspondence (see [28, 29] for reviews) it has been clear (e.”
Entanglement Membrane in Chaotic Many-Body Systems (2019, background): “Such symmetries will constrain the effective field theory of the membrane, as well as giving new hydrodynamic modes [75, 76].”
A Holographic View on Physics out of Equilibrium (2010, background): “Relativistic fluids are described in [142], aspects of the fluid/gravity correspondence are reviewed in [24, 25] and applications of relativistic fluids to heavy-ion collisions in [143].”