Minimal flux Minkowski classification

TL;DR

This paper classifies Minkowski solutions in type IIA supergravity with N=2 supersymmetry, revealing new intersecting brane systems, AdS solutions, and promising compact solutions with localized D-branes and O-planes.

Contribution

It provides a systematic classification of Minkowski$_4$ solutions in type IIA supergravity with specific symmetries, including new solutions and reductions to simpler PDEs.

Findings

Recovered various intersecting brane systems

Identified AdS$_d$ solutions for d=5,6,7

Found promising compact solutions with localized D-branes and O-planes

Abstract

We classify Minkowski$_4$ 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 AdS$_d$ solutions, $d=5,6,7$, and in particular the recently found general massive AdS$_7$ solutions. Imposing compactness of the internal six-manifold we obtain promising solutions with localized D-branes and O-planes.