Note on the boundary terms in Ads/CFT correspondence for Rarita-Schwinger field

In this letter the boundary problem for massless and massive Rarita-Schwing er fields in the AdS/CFT correspondence is considered. The considerations a re along the lines of a paper by Henneaux(24) and are based on the requirem ent that the solutions have to be a stationary point for the action functio nal. It is shown that this requirement, along with a definite asymptotic be havior of the solutions, fixes the boundary term that must be added to the initial Rarita-Schwinger action. It is also shown that the boundary term re produce the known two-point correlation functions of certain local operator s in CFT living on the boundary.