Topology of nontopological Chern-Simons vortices
Mar, 1999Citations per year
Abstract:
The quantized magnetic flux \Phi=-4\pi N\sk, N=0,\pm1,... of non-topological vortices in the non-relativistic Chern-Simons theory is related to the topological degree of the mapping defined by lifting the problem to the Riemann spheres. Regular solutions with finite degree only arise for rational functions, whose topological degree, , is the commun number of their zeros and poles on the Riemann sphere, also called their algebraic order.- Chern-Simons term
- nonrelativistic
- vortex
- topology
- flux: magnetic
- dimension: 3
- analytic properties
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