Hofstadter’s butterfly and Langlands duality

DOI10.1063/1.4998635zbMath1457.82075arXiv1708.00436OpenAlexW3100141860WikidataQ129602739 ScholiaQ129602739MaRDI QIDQ4575946

Kazuki Ikeda

Publication date: 16 July 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00436

zbMATH Keywords

quantum groupLanglands duality

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (3)

Universal computation with quantum fields ⋮ Quantum Hall effect and Langlands program ⋮ Hyperbolic band theory through Higgs bundles

Cites Work

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• AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
• Quantum $q$-Langlands Correspondence
• Hofstadter’s butterfly in quantum geometry

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