Instanton effects in supersymmetric Yang-Mills theories on ALE gravitational backgrounds

In this letter we report on the computation of instanton-dominated correlation functions in supersymmetric Yang-Mills the-ories on Asymptotically Locally Euclidean spaces. We restrict our attention to the simplest case of an SU (2) connection with the lowest Chern class on the Eguchi-Hanson gravitational background. The self-dual instantonic connection necessary for these calculations is obtained by exploiting the generalized ADHM construction of Kronheimer and Nakajima.