Anyons on higher genus surfaces---a constructive approach

DOI10.1142/S0217732393002427zbMATH Open1021.81826arXivcond-mat/9305015OpenAlexW3098111648MaRDI QIDQ2727555

Erik Westerberg, T. H. Hansson, Anders Karlhede

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/cond-mat/9305015

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items (1)

Topologically nontrivial sectors of the Maxwell field theory on algebraic curves.

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