Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
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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.
20 pages, latex file. v3: The final version, to appear in NPB
20 pages, latex file. v3: The final version, to appear in NPB