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We present a classification of a large class of type IIA N = 1 supersymmetric compactifications to AdS<sub>4</sub>, 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-Kähler structure. I.e. all these cosets can be viewed as deformations of nearly-Kähler 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 AdS<sub>4</sub> vacua of different radii. We also consider smooth interpolations between AdS<sub>4</sub> × M<sub>6</sub> and <sup>1,2</sup> × M<sub>7</sub>, where M<sub>6</sub> is a nearly-Kähler manifold and M<sub>7</sub> is the G<sub>2</sub>-holonomy cone over M<sub>6</sub>. |