HKT geometry and de Sitter supergravity Original Research Article

Solutions of five-dimensional minimal de Sitter supergravity admitting Killing spinors are considered. It is shown that the “timelike” solutions are determined in terms of a four-dimensional hyper-Kähler torsion (HKT) manifold. If the HKT manifold is conformally hyper-Kähler the most general solution can be obtained from a sub-class of supersymmetric sol