1993/07/23 by Kai-Ming Lee
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #hep-th
paper · pdf · doi:10.1103/physrevd.49.2030
published as Phys.Rev. D49 (1994) 2030-2040 · 28 pages with 10 figures; uses phyzzx and psfig; Caltech preprint CALT-68-1873
arxiv created 1993/07/23 · openalex publication_date 1994/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the topological interactions of vortices on general surfaces. If the genus of the surface is greater than zero, the handles can carry magnetic flux. The classical state of the vortices and the handles can be described by a mapping from the fundamental group to the unbroken gauge group. The allowed configurations must satisfy a relation induced by the fundamental group. Upon quantization, the handles can carry "Cheshire charge." The motion of the vortices can be described by the braid group of the surface. How the motion of the vortices affects the state is analyzed in detail.