Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime

Abstract

We consider axially symmetric solutions of $SU(2)$ Yang-Mills-Higgs theory in globally AdS spacetime and a fixed Schwarzschild-AdS black hole background. The solutions are characterized by two integers $(m,n)$ where $m$ is related to the polar angle and $n$ to the azimuthal angle. Two types of finite-energy, regular configurations are considered: solutions with net magnetic charge $n>1$, and monopole-antimonopole pairs and chains with zero net magnetic charge. The configurations are endowed with an electric charge and also carry a nonvanishing angular momentum density.