New non-Abelian solutions in D=4, N=4 gauged supergravity

In this Letter we look for static, purely magnetic, non-Abelian solutions with unusual topology in the context of N=4 Freedman–Schwarz supergravity in four dimensions. Two new exact solutions satisfying first order Bogomolʹnyi equations are discussed. The main characteristics of the general solutions are presented and differences with respect to the spherically symmetric case are studied. We argue that all solutions present naked singularities.