Supergravitons from one loop perturbative N=4 super Yang-Mills theory

We determine the partition function of 1/16 BPS operators in N = 4 super Yang-Mills (SYM) at weak coupling at the one-loop level in the planar limit. This partition function is significantly different from the one computed at zero coupling. We find that it coincides precisely with the partition function of a gas of 1/16 BPS supergravitons in AdS(5) X S-5.