Topology of non-topological Chern-Simons vortices

Details Topology of non-topological Chern-Simons vortices Topology of non-topological Chern-Simons vortices

1999-03-13

arxiv.org/abs/hep-th/9903116v1

Lett.Math.Phys. 49 (1999) 67-70

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, Plain Tex, no figures

Scientific paper

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 $S^2\to S^2$ mapping defined by lifting the problem to the Riemann spheres. Regular solutions with finite degree only arise for rational functions, whose topological degree, $N$, is the commun number of their zeros and poles on the Riemann sphere, also called their algebraic order.

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