Abstract
According to the AdS/CFT correspondence, the d = 4, N = 4 SU(N) super Yang-Mills theory is dual to the type IIB string theory compactified on AdS5 × S5. Most of the tests performed so far are confined to the leading order at large N or equivalently string tree-level. To probe the correspondence beyond this leading order and obtain 1 N2 corrections is difficult since string one-loop computations on an AdS5 × S5 background generally are beyond feasibility. However, we will show that the chiral SU(4)R anomaly of the super YM theory provides an ideal testing ground to go beyond leading order in N. In this paper, we review and develop further our previous results [1] that the 1=N2 corrections to the chiral anomaly on the super YM side can be exactly accounted for by the supergravity/string effective action induced at one loop.