Nonabelian Vortices on Surfaces and Their Statistics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages, 6 figures, requires harvmac

Scientific paper

10.1016/S0550-3213(97)00409-4

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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