Minimal flux Minkowski classification

Abstract

We classify Minkowski4 solutions in type IIA supergravity, with N = 2 supersymmetry and an SU(2) R-symmetry of a certain type. Many subcases can be reduced to relatively simple PDEs, among which we recover various intersecting brane systems, and AdSd solutions, d = 5, 6, 7, and in particular the recently found general massive AdS7 solutions. Imposing compactness of the internal six-manifold we obtain promising solutions with localized D-branes and O-planes.