The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma

David García Fariña will present 'The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma' (G. Policastro, D. T. Son, A. O. Starinets, Phys.Rev.Lett. 87 (2001) 081601). 

Abstract:

Using the AdS/CFT correspondence, we relate the shear viscosity η of the finite-temperature N=4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find η = π/8 N2T3. We conjecture that for finite 't Hooft coupling gYM2N the shear viscosity is η=f(gYM2N) N2T3, where f(x) is a monotonic function that decreases from O(x-2\ln-1(1/x)) at small x to π/8 when x → ∞.