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

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.

arXiv comment36 pages, 5 figures .V2, Minor comments added. Accepted in JHEP

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• (Quasi-)normal modes of rotating black holes and new solitons in Einstein-Gauss-Bonnet
• Non-Abelian black holes in conformal gravity
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula
• Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA