One-loop-order renormalization of the massless Wess-Zumino model in anti–de Sitter space

We apply the renormalization program to the massless Wess-Zumino model in anti–de Sitter space, using the version of Bunch and Parker of the adiabatic expansion. We consider an extrapolation of the dimensional-reduction prescription taking only the momentum of the expansion in D dimensions, while all the other tensors are kept in D=4, and show that the supersymmetry Ward identities are satisfied by the divergent one-loop corrections, but are violated by finite local terms proportional to the curvature of the space.