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arXiv · hep-th/9306006

Non-abelian vortices and non-abelian statistics

Hoi-Kwong Lo·John Preskill
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Abstract

We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multi-valued function of the scattering angle. There can be an exchange contribution to the vortex-vortex scattering amplitude that adds coherently with the direct amplitude, even if the two vortices have distinct quantum numbers. Thus two vortices can be ``indistinguishable'' even though they are not the same.

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Hoi-Kwong Lo, John Preskill. 1993-06-01. Non-abelian vortices and non-abelian statistics. https://doi.org/10.1103/physrevd.48.4821

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