On integrability of the one-dimensional Hubbard model

Abstract

We find a family of solutions to Zamolodchikov's tetrahedral algebra corresponding to the fermionic R-operator for the free fermion model of the difference type in one of the spectral parameters, construct an extension of the R-operator for a system of two spins satisfying the Yang-Baxter equation, and find the local charges. We also construct a twisted monodromy operator, which leads to the one-dimensional Hubbard model.

arXiv commentThis is the second part of arXiv:2212.095141. 11p; v2: typo corrected, reference added

References in corpus (11)

• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Planar N=4 Gauge Theory and the Hubbard Model
• Ladder operator for the one-dimensional Hubbard model
• Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
• Fermionic R-Operator for the Fermion Chain Model
• The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix
• Tetrahedron equation and the algebraic geometry
• Fermionic R-Operator and Algebraic Structure of 1D Hubbard Model: Its application to quantum transfer matrix
• The Lax pair for the fermionic Bazhanov-Stroganov $R$-operator
• On extension of the Yang-Baxter equation and the fermionic $R$-operator
• An Elliptic Parameterisation of the Zamolodchikov Model