Nonabelian Vortices on Surfaces and Their Statistics
Lee Brekke, Sterrett J. Collins, Tom D. Imbo
Abstract
We discuss the physics of topological vortices moving on an arbitrary surface M in a Yang-Mills-Higgs theory in which the gauge group G breaks to a finite subgroup H. We concentrate on the case where M is compact and/or nonorientable. Interesting new features arise which have no analog on the plane. The consequences for the quantum statistics of vortices are discussed, particularly when H is nonabelian.
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