New BPS solitons in N=4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

TL;DR

This paper discovers new BPS solitons and black hole solutions in N=4 gauged supergravity and Einstein-Yang-Mills-dilaton theory, revealing novel regular, singular, and Lifshitz black holes with unique properties.

Contribution

It introduces new supersymmetric solutions in both Abelian and non-Abelian sectors, including regular solitons and Lifshitz black holes, expanding the landscape of known configurations.

Findings

New 1/4 BPS regular soliton in Abelian sector.

Singular 1/4 BPS meron solutions with conformal symmetry.

Exact Lifshitz black holes with novel causal structures.

Abstract

We start by revisiting the problem of finding BPS solutions in $\mathcal{N}=4$ SU(2)$\times$SU(2) gauged supergravity. We report on a new supersymmetric solution in the Abelian sector of the theory, which describes a soliton that is regular everywhere. The solution is 1/4 BPS and can be obtained from a double analytic continuation of a planar solution found by Klemm in hep-th/9810090. Also in the Abelian sector, but now for a spherically symmetric ansatz we find a new solution whose supersymmetric nature was overlooked in the previous literature. Then, we move to the non-Abelian sector of the theory by considering the meron ansatz for SU(2). We construct electric-meronic and double-meron solutions and show that the latter also leads to 1/4 BPS configurations that are singular and acquire an extra conformal Killing vector. We then move beyond the supergravity embedding of this theory by modifying the self-interaction of the scalar, but still within the same meron ansatz for a single gauge field, which is dilatonically coupled with the scalar. We construct exact black holes for two families of self-interactions that admit topologically Lifshitz black holes, as well as other black holes with interesting causal structures and asymptotic behavior. We analyze some thermal properties of these spacetimes.