Quantum Deformations of the One-Dimensional Hubbard Model

dc.creatorBeisert, Niklas
dc.creatorKoroteev, Peter
dc.date2008-02-06
dc.date2008-05-21
dc.date.accessioned2026-07-07T11:40:09Z
dc.date.available2026-07-07T11:40:09Z
dc.descriptionThe centrally extended superalgebra psu(2|2)xR^3 was shown to play an important role for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence. Here we consider its quantum deformation U_q(psu(2|2)xR^3) and derive the fundamental R-matrix. From the latter we deduce an integrable spin chain Hamiltonian with three independent parameters and the corresponding Bethe equations to describe the spectrum on periodic chains. We relate our Hamiltonian to a two-parametric Hamiltonian proposed by Alcaraz and Bariev which can be considered a quantum deformation of the one-dimensional Hubbard model.
dc.description58 pages, v2: comments on Alcaraz-Bariev cases A+- extended, references added, v3: addresses corrected
dc.identifierhttps://arxiv.org/abs/0802.0777
dc.identifierhttp://arxiv.org/abs/0802.0777
dc.identifierJ.Phys.A41:255204,2008
dc.identifierdoi:10.1088/1751-8113/41/25/255204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200165
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Algebra
dc.titleQuantum Deformations of the One-Dimensional Hubbard Model
dc.typetext

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