Classification of the anyon sectors of Kitaev's quantum double model

Abstract

We give a complete classification of the anyon sectors of Kitaev's quantum double model on the infinite triangular lattice and for finite gauge group $G$, including the non-abelian case. As conjectured, the anyon sectors of the model correspond precisely to equivalence classes of irreducible representations of the quantum double algebra of $G$.

published version. 62 pages, 14 figures

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Cited by in corpus (1)

• The category of anyon sectors for non-abelian quantum double models