@ARTICLE{Herzog02thehydrodynamics, author = {Christopher P. Herzog}, title = {The hydrodynamics of M-theory}, journal = {JHEP}, year = {2002}, pages = {026} }

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Abstract

We consider the low energy limit of a stack of N M-branes at finite temperature. In this limit, the M-branes are well described, via the AdS/CFT correspondence, in terms of classical solutions to the eleven dimensional supergravity equations of motion. We calculate Minkowski space two-point functions on these M-branes in the long-distance, low-frequency limit, i.e. the hydrodynamic limit, using the prescription of Son and Starinets [hep-th/0205051]. From these Green’s functions for the R-currents and for components of the stress-energy tensor, we extract two kinds of diffusion constant and a viscosity. The N dependence of these physical quantities may help lead to a better understanding of M-branes. The interacting, superconformal field theories (SCFT) living on a stack of N M2- or M5branes are not well understood. An improved understanding of these M-branes should lead eventually to a better understanding of M-theory itself, a theory that encompasses all the different super string theories and is one of the best hopes for a quantum theory of gravity.