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"Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras", Bowen Yan, Penghua Chen, Shawn Cui, 2022

Reviewed August 21, 2023

Citation: Yan, Bowen, Penghua Chen, and Shawn X. Cui. "Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras." Journal of Physics A: Mathematical and Theoretical 55.18 (2022): 185201.

Web: https://arxiv.org/abs/2105.08202

Tags: Non-abelian-anyons


This paper gives an in-depth treatment of non-abelian anyons in generalized Hopf algebra models.

One big contribution of this paper is to make the distinction between "locally clockwise" and "locally counter-clockwise" ribbon operators, which are apparently necessary for a well-defined theory but are overwhelmingly ignored in literature. This seems to be an important point to check against when giving any treatment of non-abelian anyon models.