Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on spaces

Supersymmetric $$ , $$ and asymptotically $$ black hole solutions are studied in the context of non-minimal $$ 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 $$ and $$ gauged maximal supergravities that arise from the reduction of 11D and massive IIA supergravity on $$ 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.