Abelian Hypermultiplet Gaugings and BPS Vacua in N = 2 Supergravity
Harold Erbin, Nick Halmagyi
TL;DR
This paper investigates the gauging of Abelian isometries in hypermultiplet scalar manifolds within N=2 supergravity, providing new insights into supersymmetric AdS4 vacua and BPS black hole horizons.
Contribution
It computes the general Killing prepotentials and compensators for symmetric special quaternionic-Kähler manifolds, advancing understanding of supersymmetric vacua and black hole solutions.
Findings
Derived explicit Killing prepotentials for hypermultiplet manifolds
Identified conditions for fully supersymmetric AdS4 vacua
Analyzed BPS black hole horizon structures
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-K\"ahler 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.
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