New supersymmetric solutions of N=2, D=5 gauged supergravity with hyperscalars

TL;DR

This work analyzes a specific N=2 truncation of five-dimensional N=8 gauged supergravity, namely STU-like supergravity coupled to three incomplete hypermultiplets, to construct new supersymmetric solutions using a G-structure approach. By focusing on a timelike Killing vector and a cohomogeneity-one, bi-axial Kähler base, the authors derive a tractable set of first-order BPS equations for the metric and matter fields, including both vector multiplet and hypermultiplet sectors. They present explicit rotating AdS bubbles and solitons without hyperscalars, including zero-, positive-, and intriguingly negative-mass solutions that are regular and free of closed timelike curves, with some solutions asymptotic to AdS$_5/\mathbb{Z}_k$. Extending to the full hyperscalar sector, they obtain additional rotating bubble solutions and bubbling generalizations of Klemm–Sabra-type black holes, offering a richer landscape of BPS backgrounds with potential holographic interpretations and implications for AdS/CFT in locally AdS geometries.

Abstract

We construct new supersymmetric solutions, including AdS bubbles, in an N=2 truncation of five-dimensional N=8 gauged supergravity. This particular truncation is given by N=2 gauged supergravity coupled to two vector multiples and three incomplete hypermultiplets, and was originally investigated in the context of obtaining regular AdS bubble geometries with multiple active R-charges. We focus on cohomogeneity-one solutions corresponding to objects with two equal angular momenta and up to three independent R-charges. Curiously, we find a new set of zero and negative mass solitons asymptotic to AdS_5/Z_k, for k \ge 3, which are everywhere regular without closed timelike curves.