Non-Abelian fields in AdS$_4$ spacetime: axially symmetric, composite configurations

Understand

We construct new finite energy regular solutions in Einstein-Yang-Mills-SU(2) theory.

• They are static, axially symmetric and approach at infinity the anti-de Sitter spacetime background.
• These configurations are characterized by a pair of integers $(m, n)$, where $m$ is related to the polar angle and $n$ to the azimuthal angle, being related to the known flat space monopole-antimonopole chains and vortex rings.
• Generically, they describe composite configurations with several individual components, possesing a nonzero magnetic charge, even in the absence of a Higgs field.