Renormalization in anti-de Sitter supersymmetry

Physics

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

The one-loop renormalization of the Wess-Zumino model in four-dimensional anti-de Sitter space (AdS)4 is studied using a manifestly supersymmetric Pauli-Villars regularization procedure. The vacuum expectation value of the physical scalar field is linearly divergent, while =0. This divergence is canceled by a counterterm in the superpotential which is linear in A. The divergences of two-point functions agree with the nonrenormalization theorems of the flat-space model. However, the divergent one-point function shows that the special notion of ``naturalness'' in flat-space supersymmetry does not extend to (AdS)4.

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