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In this letter the boundary problem for massless and massive Rarita-Schwingerfield in the AdS/CFT correspondence is considered. The considerations are alongthe lines of a paper by Henneaux (hep-th/9902137) and are based on therequirement the solutions to be a stationary point for the action functional.It is shown that this requirement, along with a definite asymptotic behavior ofthe solutions, fixes the boundary term that must be added to the initialRarita-Schwinger action. It is also shown that the boundary term reproduce theknown two point correlation functions of certain local operators in CFT livingon the boundary.Comment: 12 pages, one more refernce added, some typos correcte

NOTE ON THE BOUNDARY TERMS IN AdS/CFT CORRESPONDENCE FOR RARITA–SCHWINGER FIELD