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arXiv · hep-th/9701063

SUSY and Flat Direction in de Sitter Space

M. Tanaka
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Abstract

We have found that supersymmetry (SUSY) in curved space is broken softly. It is also found that Pauli-Villars regularization preserves the remaining symmetry, softly broken SUSY. Using it we computed the one-loop effective potential along a (classical) flat direction in a Wess-Zumino model in de Sitter space. The analysis is relevant to the Affleck-Dine mechanism for baryogenesis. The effective potential is unbounded from below: $V_{eff}(ϕ)\to -3g^2H^2ϕ^2 ln ϕ^2 /16π^2$, where $ϕ$ is the scalar field along the flat direction, g is a typical coupling constant, and H is the Hubble parameter. This is identical with the effective potential which is obtained by using proper-time cutoff regularization. Since proper-time cutoff regularization is exact even at the large curvature region, the effective potential possesses softly broken SUSY and reliability in the large curvature region.

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M. Tanaka. 1997-01-22. SUSY and Flat Direction in de Sitter Space. https://arxiv.org/abs/hep-th/9701063

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