Pauli-Villars regularization of the Wess-Zumino model in anti–de Sitter space

We study the renormalization properties of the Wess-Zumino model in anti–de Sitter background space at the one-loop level using the adiabatic expansion in momentum space and a supersymmetric-invariant Pauli-Villars regularization procedure. We calculate the one-particle irreducible two- and three-point functions of the model and verify that neither the mass nor the interaction Lagrangians get renormalized at the one-loop level. We find, however, that the one-loop effects proportional to the contraction parameter of the space force the insertion of a linear superfield term in the superpotential in order to renormalize the nonvanishing one-particle-irreducible one-point functions which can be viewed as an example of violation of the nonrenormalization theorem in the curved background space.