Non-perturbative effects in AdS5 × S5 string theory and d = 4 SUSY Yang-Mills

We show that five-dimensional anti de-Sitter space remains a solution tolow-energy type IIB supergravity when the leading higher-derivative correctionsto the classical supergravity (which are non-perturbative in the stringcoupling) are included. Furthermore, at this order in the low energy expansionof the IIB theory the graviton two-point and three-point functions in $AdS_5\times S^5$ are shown not to be renormalized and a precise expression isobtained for the four-graviton and related S-matrix elements. By invokingMaldacena's conjectured connection between IIB superstring theory andsupersymmetric Yang-Mills theory corresponding statements are obtainedconcerning correlation functions of the energy-momentum tensor and relatedoperators in the large-N Yang-Mills theory. This leads to interestingnon-perturbative statements and insights into the r\^ole of instantons in thegauge theory.Comment: Typographical errors corrected. JHEP version. 15 pages, harvmac macro