The fluid/gravity correspondence: Lectures notes from the 2008 Summer School on Particles, Fields, and Strings

Understand

This is a paper compiled by students of the 2008 Summer School on Particles, Fields, and Strings held at the University of British Columbia on lectures given by Veronika Hubeny as understood and interpreted by the authors.

• We start with an introduction to the AdS/CFT duality.
• More specifically, we discuss the correspondence between relativistic, conformal hydrodynamics and Einstein's theory of gravity.
• Within our framework the Einstein equations are an effective description for the string theory in the bulk of AdS_5 spacetime and the hydrodynamic fluid equations represent the conformal field theory near thermal equilibrium on the boundary.