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Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT. (English) Zbl 1245.81172

Summary: We compute coefficients of two-derivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an \(AdS_{D}\) dual with \(3 \leq D \leq 7\). For the case of \(D = 3\) we obtain an exact \(AdS_{3}\) black hole solution, valid to all orders in a derivative expansion, dual to a perfect fluid in \(1+1\) dimensions.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory