The Hydrodynamics of M-Theory | Zendy

Christopher P. Herzog | Zendy

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The Hydrodynamics of M-Theory

Author(s) -

Christopher P. Herzog

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/12/026

Subject(s) - supergravity , minkowski space , physics , limit (mathematics) , brane cosmology , tensor (intrinsic definition) , mathematical physics , space (punctuation) , cauchy stress tensor , viscosity , classical mechanics , mathematical analysis , mathematics , quantum mechanics , pure mathematics , supersymmetry , linguistics , philosophy

We consider the low energy limit of a stack of N M-branes at finitetemperature. In this limit, the M-branes are well described, via the AdS/CFTcorrespondence, in terms of classical solutions to the eleven dimensionalsupergravity equations of motion. We calculate Minkowski space two-pointfunctions on these M-branes in the long-distance, low-frequency limit, i.e. thehydrodynamic limit, using the prescription of Son and Starinets[hep-th/0205051]. From these Green's functions for the R-currents and forcomponents of the stress-energy tensor, we extract two kinds of diffusionconstant and a viscosity. The N dependence of these physical quantities mayhelp lead to a better understanding of M-branes.Comment: 1+19 pages, references added, section 5 clarified, eq. (72) correcte

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