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Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory. (English) Zbl 1243.81159

Summary: We use the real-time finite-temperature AdS/CFT correspondence to compute the effect of general \(R^{2}\) corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory. The \(R^{2}\) terms in \(AdS_{5}\) are determined by the central charges of the CFT. We present an example of a four-dimensional gauge theory in which the conjectured lower bound of 1/\(4\pi \) on the viscosity-to-entropy ratio is violated for finite \(N\).

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83C57 Black holes
81T13 Yang-Mills and other gauge theories in quantum field theory
83E30 String and superstring theories in gravitational theory
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