Field theory tests for correlators in the AdS-CFT correspondence

The order g(2) radiative corrections to all two- and three-point correlators of the composite primary operators Tr X-k are computed in N = 4 supersymmetric Yang-Mills theory with the gauge group SU(N). Corrections an found to vanish for all hi. For k = 2 this is a consequence of known superconformal nonrenormalization theorems, and for general k the result confirms an N --> infinity, fixed large g(2)N supergravity calculation and further conjectures by S. Lee et al., hep-th/9806074. A three-point correlator involving N = 4 descendents of Tr X-2 is calculated, and its order g(2) contribution also vanishes, giving evidence for the absence of radiative corrections in correlators of descendent operators, [S0556-2821(99)00502-0].