title: Minkowski Flux Vacua of Type II Supergravities.
abstract: We study flux compactifications of 10D type II supergravities to 4D Minkowski space-time, supported by parallel orientifold O_{p} planes with 3≤p≤8. With some geometric restrictions, the 4D Ricci scalar can be written as a negative sum of squares involving Bogomol'nyi-Prasad-Sommerfield-like conditions. Setting all squares to zero provides automatically a solution to 10D equations of motion. This way we characterize a broad class, if not the complete set, of Minkowski flux vacua with parallel orientifolds. We conjecture an extension with nongeometric fluxes. None of our results rely on supersymmetry.
authors.affiliation: Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut,Am Mühlenberg 1, 14467 Potsdam-Golm, Germany.|Institut für Mathematik, Humboldt-Universität zu Berlin, IRIS-Adlershof,Zum Großen Windkanal 6, 12489 Berlin, Germany.
authors.forename: David
authors.initials: D
authors.lastname: Andriot
authors.affiliation: Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, F-91191 Gif sur Yvette, France.
authors.forename: Johan
authors.initials: J
authors.lastname: Blåbäck
authors.affiliation: Instituut voor Theoretische Fysica, K.U.Leuven,Celestijnenlaan 200D, B-3001 Leuven, Belgium.
authors.forename: Thomas
authors.initials: T
authors.lastname: Van Riet