Multi-instantons and Maldacena's conjecture

We examine certain n-point functions Gn in N=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of AdS5 S5, (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, Gn = √{N} g8 kn-7/2e-8 π2k g2 sumdvertivalbark d-2 Fn(x1,xn), where Fn is identical to a convolution of n bulk-to-boundary SUGRA propagators. (author)