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

• URL: http://arxiv.org/abs/2310.19661v4
• Date: Thu, 03 Jul 2025 06:52:57 GMT
• Title: Classification of the anyon sectors of Kitaev's quantum double model
• Authors: Alex Bols, Siddharth Vadnerkar,
• Abstract summary: We give a complete classification of the anyon sectors of Kitaev's quantum double model on the infinite triangular lattice.<n>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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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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