Type IIA AdS4compactifications on cosets, interpolations and domain walls

Abstract

We present a classification of a large class of type IIA = 1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all cosets leading to a solution contain regions corresponding to nearly-Kahler structure. I.e. all these cosets can be viewed as deformations of nearly-Kahler manifolds. Allowing for (smeared) six-brane/orientifold sources we obtain more possibilities. In the second part of the paper, we use a simple ansatz, which can be applied to all six-dimensional coset manifolds considered here, to construct explicit thick domain wall solutions separating two AdS4 vacua of different radii. We also consider smooth interpolations between AdS4 × 6 and 1,2 × 7, where 6 is a nearly-Kahler manifold and 7 is the G2-holonomy cone over 6.