Classification of the Anyon Sectors of Kitaev’s Quantum Double Model
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Date
2025-08
Publication Type
Journal Article
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yes
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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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published
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Journal / series
Volume
406 (8)
Pages / Article No.
188
Publisher
Springer