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

We start by revisiting the problem of finding BPS solutions in N = 4 SU (2) x 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.

Automated summary

In this paper, we revisit the problem of finding BPS solutions in N = 4 SU (2) x SU (2) gauged supergravity. We report a new supersymmetric solution in the Abelian sector and a new solution whose supersymmetric nature was overlooked in the previous literature. Moving to the non-Abelian sector, we construct electric-meronic and double-meron solutions, which lead to singular 1/4 BPS configurations. We also modify the self-interaction of the scalar and construct exact black holes with interesting causal structures and asymptotic behavior.