A note on supersymmetric AdS6 solutions of massive type IIA supergravity

Motivated by the AdS6/CFT5 correspondence, we study general supersymmetric solutions of massive type IIA supergravity, consisting of a warped product of six-dimensional anti-de Sitter space AdS6 with a four-dimensional Riemannian manifold M4, and fluxes compatible with the SO(5, 2) symmetry. We find that the only local solution of this form is the warped AdS6 × wS4 solution, originally discovered by Brandhuber and Oz. We discuss the supersymmetric properties of this solution.