Abstract

We investigate the properties of n-skyrmion systems in the (2 + 1)-dimensional CP 1 model with an additional Hopf term in the action. For a general time dependence of the skyrmion trajectories, we derive a simple expression for the action in terms of a complex plane line integral. In the special case of skyrmion rotations and exchanges this expression reduces to closed contour integrals showing the unusual spin and statistics of the skyrmions.

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