Abstract
We compute the one-loop effective potential of the Wess-Zumino model in Anti-de Sitter space. The effect of the background geometry is determined exactly. After the renormalization of the kinetic action and the insertion of a linear counterterm in the superpotential, we solve the quantum-corrected equations of motion, obtaining the vacuum solutions in the semiclassical approximation. The vacuum expectation values of theA andB fields are shifted by finite terms which depend upon the boundary conditions for the field propagators. Despite this result, we show with complete generality that supersymmetry is preserved to the one-loop order at each classically supersymmetric extremum of the effective potential.
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