Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on [Formula: see text] spaces

Supersymmetric [Formula: see text] , [Formula: see text] and asymptotically [Formula: see text] black hole solutions are studied in the context of non-minimal [Formula: see text] supergravity models involving three vector multiplets (STU-model) and Abelian gaugings of the universal hypermultiplet moduli space. Such models correspond to consistent subsectors of the [Formula: see text] and [Formula: see text] gauged maximal supergravities that arise from the reduction of 11D and massive IIA supergravity on [Formula: see text] spaces down to four dimensions. A unified description of all the models is provided in terms of a square-root prepotential and the gauging of a duality-hidden symmetry pair of the universal hypermultiplet. Some aspects of M-theory and massive IIA holography are mentioned in passing.