Topology of non-topological Chern-Simons vortices

P. A. Horváthy

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arXiv · hep-th/9903116

Topology of non-topological Chern-Simons vortices

P. A. Horváthy

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Abstract

The quantized magnetic flux $Φ=-4πN\sk, N=0,\pm1,...$ 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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P. A. Horváthy. 1999-03-13. Topology of non-topological Chern-Simons vortices. https://arxiv.org/abs/hep-th/9903116

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