Brownian motion in AdS/CFT

by Masaki Shigemori (University of Amsterdam)

Tuesday 3 Mar 2009, 14:00 → 15:00 Europe/Zurich

TH Theory Conference Room (CERN)

The recently discovered gravity-fluid correspondence maps the hydrodynamical Navier-Stokes equation to the horizon dynamics of AdS black holes, and vice versa. Historically, a crucial step toward the microphysics of nature underlying hydrodynamics was Brownian motion. In this talk, I study Brownian motion in AdS/CFT, to understand the microphysics underlying the above correspondence. A Brownian particle on the boundary corresponds to a fundamental string stretching between the AdS boundary and the horizon in the bulk. In particular, we will see that the Langevin equation governing the boundary Brownian motion is closely related to the Hawking radiation on the fundamental string.