Towards Classical de Sitter Solutions in String Theory

Abstract

We investigate the type II string effective potential at tree-level and derive necessary ingredients for having de Sitter solutions in orientifold models with fluxes. Furthermore, we examine some explicit O6 compactifications in IIA supergravity on manifolds with SU(3)-structure in the limit where the orientifold sources are smeared. In particular, we use a simple ten-dimensional Ansatz for four-dimensional de Sitter solutions and find the explicit criteria in terms of the torsion classes such that these de Sitter solutions solve the equations of motion. We have verified these torsion conditions for the cosets and the Iwasawa manifold and it turns out that the conditions cannot be fulfilled for these spaces. However, this investigation allows us to find new non-supersymmetric AdS solutions for some cosets. It remains an open question whether there exist SU(3)-structure manifolds that satisfy the conditions on the torsion classes for these simple de Sitter solutions to exist.

28 pages, 6 figures; Minor changes and references added; Additional typos corrected; V5 misprints in appendix corrected

References in corpus (16)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Inflationary Constraints on Type IIA String Theory
• Simple de Sitter Solutions
• Physics of String Flux Compactifications
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Generalized non-supersymmetric flux vacua
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• Minimal Simple de Sitter Solutions
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• Type-IIA flux compactifications and N=4 gauged supergravities
• On de Sitter Vacua in Type IIA Orientifold Compactifications
• No metastable de Sitter vacua in N=2 supergravity with only hypermultiplets
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• Gaugings at angles from orientifold reductions

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