AdS2 type-IIA solutions and scale separation

In this note we examine certain classes of solutions of IIA theory without sources, of the form AdS2× ℳ(1) × ⋯ × ℳ(n), where ℳ(i) are Riemannian spaces. We show that large hierarchies of curvatures can be obtained between the different factors, however the absolute value of the scalar curvature of AdS2 must be of the same order or larger than the absolute values of the scalar curvatures of all the other factors.