D-instanton in AdS(5) and instanton in SYM4

Following the observation of Banks and Green that the D-instantons in AdS(5 ) correspond to the instantons in four-dimensional supersymmetric Yang-Mill s theory, we study in more detail this correspondence for individual instan tons. The supergravity solution for a D-instanton in AdS5 is found using th e ansatz used previously for D-instantons in flat space. We check that the actions and supersymmetries match between the D-instanton solution and the Yang-Mills instanton. Generalizing this result, we propose that any supergr avity solution satisfying the ansatz corresponds to a (anti-) self-dual Yan g-Mills configuration. Using this ansatz a family of identities for correla tion functions in the supersymmetric Yang-Mills theory are derived. (C) 199 9 Published by Elsevier Science B.V.