Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
Résumé
We consider IIA compactifications on solvmanifolds with O6/D6 branes and study the conditions for obtaining de Sitter vacua in ten dimensions. While this is a popular set-up for searching de Sitter vacua, we propose a new treatment of the non-supersymmetric source terms. For space-time filling supersymmetric branes, the energy density is minimized by a pullback of a special form given by a pure spinor. In our solution, the combined bulk-brane energy density is extremized by replacing the DBI action by a pullback of a polyform from the bulk, which is no longer pure.