Abstract
We start by revisiting the problem of finding BPS solutions in \( \mathcal{N} \) = 4 SU (2) × 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.
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Canfora, F., Oliva, J. & Oyarzo, M. New BPS solitons in \( \mathcal{N} \) = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory. J. High Energ. Phys. 2022, 57 (2022). https://doi.org/10.1007/JHEP02(2022)057
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DOI: https://doi.org/10.1007/JHEP02(2022)057