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Classification of the Anyon Sectors of Kitaev’s Quantum Double Model
Alex Bols, Siddharth Vadnerkar
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Source: Crossref
Published: Jul 2, 2025
DOI: 10.1007/s00220-025-05363-w
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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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