Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, latex file. v3: The final version, to appear in NPB

Scientific paper

10.1016/j.nuclphysb.2008.12.008

Using the duality conjecture between N=6 supersymmetric U(N)_k \times U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 \times S^7/Z_{k}, we calculate the corrections to the shear viscosity of the field theory at temperature T. At strong 't Hooft coupling and at small k level, we have considered one-loop correction to the M-theory effective action. At large k level, we have considered the alpha' correction to the type IIA effective action. In both cases the correction to the ratio of shear viscosity to the entropy density is positive.

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