Quantum mechanics

Theoretical physics

Formalism (music)

Communication

Mathematical physics

De Sitter space

Scalar potential

Visual arts

Classical mechanics

Musical

Physics

Scalar (mathematics)

Mathematics

Astronomy

Sociology

Geometry

Anti-de Sitter space

Flirting

Mathematical economics

De Sitter universe

Dilaton

Universe

Fortschritte der Physik

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.

New Constraints on Classical de Sitter: Flirting with the Swampland