On classical de Sitter and Minkowski solutions with intersecting branes

TL;DR

This paper investigates the existence and constraints of classical de Sitter and Minkowski solutions in type II supergravity with intersecting branes, revealing no solutions for certain configurations and proposing features for Minkowski cases.

Contribution

It provides a comprehensive analysis of classical de Sitter solutions, proving their non-existence in specific brane configurations and characterizing features of Minkowski solutions.

Findings

No classical de Sitter solutions for D3/O3 and D7/O7 configurations.

Constraints on intersecting D5/O5 and D6/O6 solutions.

Proposed features and ansatz for classical Minkowski solutions.

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 Dp-branes and orientifold Op-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 D3/O3 and D7/O7, while we derive interesting constraints for intersecting D5/O5 or D6/O6, or combinations of D4/O4 and D8/O8. Concerning classical Minkowski solutions, we understand some typical features, and propose a solution ansatz. Overall, a central information appears to be the way intersecting Dp/Op overlap each other, a point we focus on.