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Classification of the anyon sectors of Kitaev's quantum double model (2310.19661v4)
Published 30 Oct 2023 in math-ph, cond-mat.str-el, math.MP, and quant-ph
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 $G$.
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