Intricacies of classical de Sitter string backgrounds

Abstract

Up-to-date, there is no known example of a classical de Sitter solution of string theory, despite several good candidates. We consider here two newly discovered 10d supergravity de Sitter solutions, and analyse in great detail whether they can be promoted to classical string backgrounds. To that end, we identify five requirements to be met, and develop the necessary 10d tools to test the solutions. Eventually, they both fail to verify simultaneously all requirements, in spite of positive partial results. The explicit values obtained offer a clear illustration of the situation, and the analysis highlights various subtleties. We finally discuss the relation to the problem of scale separation.

arXiv comment9 pages; v2: few additions on scale separation; v3: small additions, published version

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• Obstacles to Constructing de Sitter Space in String Theory
• Negative scalar potentials and the swampland: an Anti-Trans-Planckian Censorship Conjecture
• Cosmological Trans-Planckian Conjectures are not Effective
• Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Complex Linear Multiplets and Local Supersymmetry Breaking