Classification of the anyon sectors of Kitaev's quantum double model
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911035498168320 |
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| author | Bols, Alex Vadnerkar, Siddharth |
| author_facet | Bols, Alex Vadnerkar, Siddharth |
| contents | 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 $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19661 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of the anyon sectors of Kitaev's quantum double model Bols, Alex Vadnerkar, Siddharth Mathematical Physics Strongly Correlated Electrons Quantum Physics 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 $G$. |
| title | Classification of the anyon sectors of Kitaev's quantum double model |
| topic | Mathematical Physics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2310.19661 |