On classical de Sitter and Minkowski solutions with intersecting branes

Abstract

Abstract Motivated by the connection of string theory to cosmology or particle physics, we study solutions of type II supergravities having a four-dimensional de Sitter or Minkowski space-time, with intersecting D p -branes and orientifold O p -planes. Only few such solutions are known, and we aim at a better characterisation. Modulo a few restrictions, we prove that there exists no classical de Sitter solution for any combination of D 3/O 3 and D 7/O 7, while we derive interesting constraints for intersecting D 5/O 5 or D 6/O 6, or combinations of D 4/O 4 and D 8/O 8. Concerning classical Minkowski solutions, we understand some typical features, and propose a solution ansatz. Overall, a central information appears to be the way intersecting D p /O p overlap each other, a point we focus on.