Algebraic geometry methods associated to the one-dimensional Hubbard model

DOI10.1016/J.NUCLPHYSB.2016.04.019zbMath1336.82017arXiv1602.00523OpenAlexW2269666171MaRDI QIDQ288423

F. Blanchet-Sadri, M. Dambrine

Publication date: 26 May 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00523

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Statistical mechanics of solids (82D20) Elliptic curves (14H52) Relationships between algebraic curves and physics (14H81)

Related Items (2)

Integrability of spin-\(\frac{1}{2}\) fermions with charge pairing and Hubbard interaction ⋮ Algebro-geometric approach for a centrally extended \(\operatorname{U}_q[\operatorname{sl}(2|2)\) R-matrix]

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Cites Work

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• The quantum inverse scattering method for Hubbard-like models.
• The one-dimensional Hubbard model: a reminiscence
• The Bethe ansatz approach for factorizable centrally extended \(\text{su}(2|2)\) \(S\)-matrices
• Fusion for the one-dimensional Hubbard model
• The Arithmetic of Elliptic Curves
• Exact Integrability of the One-Dimensional Hubbard Model
• The One-Dimensional Hubbard Model

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