Non-Abelian solitons inN=4gauged supergravity and leading order string theory

Abstract

We study static, spherically symmetric, and purely magnetic solutions of the $N=4\mathrm{}$ gauged supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/4 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. We show that the theory in which these solutions arise can be obtained via compactification of ten-dimensional supergravity on the group manifold. This result is then used to lift the solutions to ten dimensions.