  We compute the shear viscosity of weakly coupled N=4 supersymmetric
Yang-Mills (SYM) theory. Our result for [eta/s], the viscosity to
entropy-density ratio, is many times smaller than the corresponding
weak-coupling result in QCD. This suggests that [eta/s] of QCD near the
transition point is several times larger than the viscosity bound, [eta/s] >=
1/4 pi.
