Anyons on Higher Genus Surfaces - a Constructive Approach

Details Anyons on Higher Genus Surfaces - a Constructive Approach Anyons on Higher Genus Surfaces - a Constructive Approach

1993-05-17

arxiv.org/abs/cond-mat/9305015v2

Physics

Condensed Matter

8 pages, LaTex, 2 figures available on request (wes@vana.physto.se), USITP-93-11

Scientific paper

10.1142/S0217732393002427

We reconsider the problem of anyons on higher genus surfaces by embedding them in three dimensional space. From a concrete realization based on three dimensional flux tubes bound to charges moving on the surface, we explicitly derive all the representations of the spinning braid group. The component structure of the wave functions arises from winding the flux tubes around the handles. We also argue that the anyons in our construction must fulfil the generalized spin-statistics relation.

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