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arXiv · 2310.19661

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

Alex Bols·Siddharth Vadnerkar
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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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Alex Bols, Siddharth Vadnerkar. 2025-07-03. Classification of the anyon sectors of Kitaev's quantum double model. https://doi.org/10.1007/s00220-025-05363-w

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