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Multimonopoles and closed vortices in SU(2) Yang-Mills-Higgs theory
We review classical monopole solutions of the SU(2) Yang-Mills-Higgs theory.
The first part is a pedagogical introduction into to the basic features of the
celebrated 't Hooft - Polyakov monopole. In the second part we describe new
classes of static axially symmetric solutions which generalise 't Hooft -
Polyakov monopole. These configurations are either deformations of the
topologically trivial sector or the sectors with different topological charges.
In both situations we construct the solutions representing the chains of
monopoles and antimonopoles in static equilibrium. The solutions of another
type are closed vortices which are centred around the symmetry axis and form
different bound systems. Configurations of the third type are monopoles bounded
with vortices. We suggest classification of these solutions which is related
with 2d Poincare index.Comment: 34 pages, 8 figures. Invited contribution prepared for Review Volume
"Etudes on Theoretical Physics" dedicated to 65th anniversary of the
Department of Theoretical Physics, Belarus State University, Minsk. Based on
a work in collaboration with Jutta Kunz and Burkhard Kleihaus. Any comments
and suggestions, especially with respect to references, are welcom
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