Quantum corrections to η/s

We consider corrections to the ratio of the shear viscosity to the entropy density in strongly coupled non-Abelian plasmas using the AdS/CFT correspondence. In particular, higher-derivative terms with the five-form Ramond-Ramond flux, which have been ignored in all previous calculations, are included. This provides the first reliable calculation of the leading order correction in the inverse 't Hooft coupling to the celebrated result eta/s=1/4 pi. The leading correction in inverse powers of the number of colors is computed. Our results hold very generally for quiver gauge theories with an internal manifold L-pqr in the holographic dual. Our analysis implies that any thermal properties, e.g., all hydrodynamic quantities in these theories, will not be affected by the five-form flux terms at this order.