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Supersymmetry breaking in anti-de Sitter space

Thesis/Dissertation ·
OSTI ID:5483374
The quantum properties of supergravity theories on a four-dimensional anti-de Sitter space background are investigated. It is shown that if supersymmetry is unbroken at the classical level then the one-loop vacuum is supersymmetric if and only if the one-loop vacuum energy vanishes. The unrenormalized vacuum energy is calculated and shown to be zero in an arbitrary theory if the classical background in supersymmetric, thereby showing that one-loop corrections always respect the supersymmetry of the vacuum. Although the bare vacuum energy vanishes, the renormalized vacuum energy need not. The renormalized vacuum energy is shown to be determined by the infinite part of the one-loop effective action, and so is easily calculable. The resulting quantum correction to the background curvature is calculated and shown to vanish in any supersymmetric one-loop finite theory on AdS. In all cases calculated the quantum corrections, if nonzero, tend to reduce the background curvature.
Research Organization:
Texas Univ., Austin (USA)
OSTI ID:
5483374
Country of Publication:
United States
Language:
English

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