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arXiv · hep-th/9306004

The statistics transmuting Chern-Simons field and the braid group on Riemann surfaces of genus g>0

Ansar Fayyazuddin
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Abstract

We study bosons interacting with an abelian Chern-Simons field on Riemann surfaces of genus $g>0$. It is shown that a singular gauge transformation brings the hamiltonian to free form. The transformed wave functions furnish a multi-component representation of the braid group studied by Imbo and March-Russell. The construction constitutes a proof of the equivalence of bosons coupled to a Chern-Simons field and anyons and generalizes the well known equivalence of the two pictures on the plane.

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Ansar Fayyazuddin. 1993-06-01. The statistics transmuting Chern-Simons field and the braid group on Riemann surfaces of genus g>0. https://doi.org/10.1142/s0217751x94001527

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