Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime

preprint2012arXivOpen access

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)(m,n) where mm is related to the polar angle and nn to the azimuthal angle. Two types of finite energy, regular configurations are considered: solutions with net magnetic charge n>1n>1 and monopole-antimonopole pairs and chains with zero net magnetic charge. The configurations are endowed with an electric charge and carry also a nonvanishing angular momentum density.

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