The paper “Einstein-Weyl spaces and near-horizon geometry” co-authored by Maciej Dunajski (Cambridge), Jan Gutowski, and Wafic Sabra (American U of Beirut), has been published in the journal Classical and Quantum Gravity.  A link to the published paper is here. In the paper they show that a class of solutions of minimal supergravity in five dimensions is given by lifts of three-dimensional Einstein–Weyl structures of hyper-CR type. They characterise this class as the most general near-horizon limits of supersymmetric solutions to the five-dimensional theory.  By exploiting the ellipticity of the linearised field equations they demonstrate that the moduli space of transverse infinitesimal deformations of a near-horizon geometry is finite-dimensional.