Hofstadter's Butterfly and Langlands Duality
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866929256862318592 |
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| author | Ikeda, Kazuki |
| author_facet | Ikeda, Kazuki |
| contents | We dig out a deeper mathematical structure of the quantum Hall system from a perspective of the Langlands program. An algebraic expression of the Hamiltonian with the quantum group is a cornerstone. The Langlands duality of the quantum group sheds light on the fractal structure of Hofstadter's butterfly. This would imply a "quantum Langlands duality". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1708_00436 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Hofstadter's Butterfly and Langlands Duality Ikeda, Kazuki Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics We dig out a deeper mathematical structure of the quantum Hall system from a perspective of the Langlands program. An algebraic expression of the Hamiltonian with the quantum group is a cornerstone. The Langlands duality of the quantum group sheds light on the fractal structure of Hofstadter's butterfly. This would imply a "quantum Langlands duality". |
| title | Hofstadter's Butterfly and Langlands Duality |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/1708.00436 |