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Non-abelian vortices on surfaces and their statistics

1997/01/14 by Lee Brekke, Sterrett J. Collins, Steffett J. Collins +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00409-4

published as Nucl.Phys. B500 (1997) 465-485 · 27 pages, 6 figures, requires harvmac

arxiv created 1997/01/14 · openalex publication_date 1997/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations