New axially symmetric Yang-Mills-Higgs solutions with negative cosmological constant

Abstract

We construct numerically new axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in $(3+1)$ anti-de Sitter spacetime. Two types of finite energy, regular configurations are considered: multimonopole solutions with magnetic charge $n>1$ and monopole-antimonopole pairs with zero net magnetic charge. A somewhat detailed analysis of the boundary conditions for axially symmetric solutions is presented. The properties of these solutions are investigated, with a view to compare with those on a flat spacetime background. The basic properties of the gravitating generalizations of these configurations are also discussed.

arXiv comment18 pages, 7 figures; v2: typos corrected

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• Holography and $Ad{S}_4$ self-gravitating dyons
• Cosmological monopoles and non-abelian black holes
• Static black holes with axial symmetry in asymptotically AdS${}_4$ spacetime
• Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime
• On Holography of Julia-Zee Dyon
• Some Exact Solutions for Maximally Symmetric Topological Defects in Anti de Sitter Space
• Generalized dyons and magnetic dipoles: the issue of angular momentum