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One-loop effective potential in gauged O(4) supergravity and the problem of the Λ term

. Nuclear Physics B, 234 (2): 472--508 (Apr 2, 1984)
DOI: 10.1016/0550-3213(84)90074-9

Abstract

We calculate the one-loop, off-shell, effective action in O(4) gauged supergravity assuming an (anti) de Sitter metric and constant scalar fields as a background. The problem of the large induced Λ term (present already for free matter fields) is stressed and the possibility of dynamical breakdown of local supersymmetry is pointed out. We illustrate our techniques and qualitative conclusions on a number of examples, including Ø4 theory and QED scalar potentials on a de Sitter background and an effective action in Einstein theory with a cosmological constant. Possible solutions of the Λ-term problem are also discussed.

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