Abelian Hypermultiplet Gaugings and BPS Vacua in N = 2 Supergravity

Abstract

We analyze the gauging of Abelian isometries on the hypermultiplet scalar manifolds of N = 2 supergravity in four dimensions. This involves a study of symmetric special quaternionic-Kähler manifolds, building on the work of de Wit and Van Proeyen. In particular we compute the general set of Killing prepotentials and associated compensators for these manifolds manifolds. This allows us to glean new insights about AdS 4 vacua which preserve the full N = 2 supersymmetry as well as BPS static black hole horizons.

arXiv comment22 p. (+ 14 app.); v2: published version, fix minor typos and Killing prepotential expressions

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• S-folds and (non-)supersymmetric Janus solutions
• Symplectically invariant flow equations for N=2, D=4 gauged supergravity with hypermultiplets
• Black holes with halos
• Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on H${}^{(p,q)}$ spaces
• AdS4 black holes from M-theory
• Duality invariance in Fayet-Iliopoulos gauged supergravity
• Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and classification
• Gauged supergravities from M-theory reductions
• ${\tau }_{RR}$ minimization in presence of hypermultiplets
• On the Supersymmetry of Bianchi attractors in Gauged supergravity