N=1 SUSY AdS4 vacua in IIB SUGRA on group manifolds

Abstract

We study N=1 compactification of IIB supergravity to AdS4. The internal manifold must have SU(2)-structure. By putting some restrictions on the SU(2) torsion classes, we can perform an exhaustive scan of all possible solutions on group manifolds. We show that sourceless solutions don't exist and that the presence of O5 and O7 orientifolds is mandatory. We also find a new solution and relate it by T-duality to a known type IIA solution with O6 planes.Comment: 22 pages, (v2) : Appendix on the name of the solvmanifold added, references updated, NS Bianchi Identity rewritte