Constraints on Meta-stable de Sitter Flux Vacua

dc.creatorSoroush, Masoud
dc.date2007-02-26
dc.date2007-03-16
dc.date.accessioned2026-07-07T12:30:40Z
dc.date.available2026-07-07T12:30:40Z
dc.descriptionWe consider flux compactification of type IIB string theory as the orientifold limit of an F-theory on a Calabi-Yau fourfold. We show that when supersymmetry is dominantly broken by the axion-dilaton and the contributions of the F-terms associated with complex structure moduli are small, the Hessian of the flux potential always has tachyonic modes for de Sitter vacua. This implies that there exist no meta-stable de Sitter vacua in this limit. Moreover, we find that the stability requirement imposes a relation between the values of cosmological constant and the scale of supersymmetry breaking for non-supersymmetric anti de Sitter vacua in this limit. The proof is general and does not rely on the details of the geometry of the compact Calabi-Yau internal space. We finally analyze the consequences of these constraints on the statistics of meta-stable de Sitter vacua and address some other related issues.
dc.description22 pages, 2 figures, LaTeX; v2: typos corrected, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0702204
dc.identifierhttp://arxiv.org/abs/hep-th/0702204
dc.identifierAdv. Theor. Math. Phys. 13 (2009) 187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216197
dc.subjectHigh Energy Physics - Theory
dc.titleConstraints on Meta-stable de Sitter Flux Vacua
dc.typetext

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