Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on H${}^{(p,q)}$ spaces

Abstract

Supersymmetric ${\text{AdS}}_4$, ${\text{AdS}}_2\times {\Sigma }_2$ and asymptotically AdS${}_4$ black hole solutions are studied in the context of non-minimal $\mathcal{N}=2$ 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 $\text{SO}(p,q)$ and $\text{ISO}(p,q)$ gauged maximal supergravities that arise from the reduction of 11D and massive IIA supergravity on ${\text{H}}^{(p,q)}$ 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.

10 pages, 3 tables. v2: Published version. v3: minor edits, added clarifications

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• Self-Binding Energies in AdS
• On the U(1)${}^2$-invariant sector of dyonic maximal supergravity
• ${\tau }_{RR}$ minimization in presence of hypermultiplets