Classes of AdS 4 type IIA/IIB compactifications with SU(3)× SU(3) structure

Abstract

We introduce an ansatz which allows us to solve the supersymmetry equations for warped = 1 AdS 4 type II supergravity compactifications of general SU(3) × SU(3) structure. As a byproduct we obtain a set of necessary conditions which every supersymmetric AdS 4 vacuum should obey. The case of AdS 4 compactifications of IIB on manifolds of static SU(2) structure is examined in detail. Several examples of solutions are presented. In the limit of four-dimensional Minkowski space, we present examples of supersymmetric IIB warped compactifications with partially localized NS5- and D5-branes. We also present 'massive' non-supersymmetric AdS 4 × 6 solutions of IIA, where 6 can be any six-dimensional Einstein-Kähler manifold. © 2009 SISSA.