Gaugings at angles from orientifold reductions

Abstract

We consider orientifold reductions to N=4 gauged supergravity in four dimensions. A special feature of this theory is that different factors of the gauge group can have relative angles with respect to the electro-magnetic SL(2) symmetry. These are crucial for moduli stabilisation and De Sitter vacua. We show how such gaugings at angles generically arise in orientifold reductions.