2018/07/31 by David Andriot · 2 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Dilaton #Formalism (music) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar (mathematics) #Scalar potential #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1002/prop.201800103
v2: few additions and clarifications
arxiv created 2018/11/27 · openalex publication_date 2019/01/01 · arxiv updated 2021/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We study the existence and stability of classical de Sitter solutions of type II supergravities with parallel ‐branes and orientifold ‐planes. Together with the dilaton and volume scalar fields, we consider a third one that distinguishes between parallel and transverse directions to the . We derive the complete scalar potential for these three fields. This formalism allows us to reproduce known constraints obtained in 10d, and to derive new ones. Specifying to group manifolds with constant fluxes, we exclude a large region of parameter space, forbidding de Sitter solutions on nilmanifolds, semi‐simple group manifolds, and some solvmanifolds (at least in some standard algebra basis). In the small remaining region, we identify a stability island, where the three scalars could be stabilized in any de Sitter solution. We discuss these results in the swampland context.