Classification of Solutions to Reflection Equation of Two-Component Systems

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dc.creatorLiu, Cong-xin
dc.creatorJu, Guo-xing
dc.creatorWang, Shi-kun
dc.creatorWu, Ke
dc.date1998-08-14
dc.date.accessioned2026-07-07T10:53:57Z
dc.date.available2026-07-07T10:53:57Z
dc.descriptionThe symmetries, especially those related to the $R$-transformation, of the reflection equation(RE) for two-component systems are analyzed. The classification of solutions to the RE for eight-, six- and seven-vertex type $R$-matrices is given. All solutions can be obtained from those corresponding to the standard $R$-matrices by $K$-transformation. For the free-Fermion models, the boundary matrices have property $tr K_+(0)=0$, and the free-Fermion type $R$-matrix with the same symmetry as that of Baxter type corresponds to the same form of $K_-$-matrix for the Baxter type. We present the Hamiltonians for the open spin systems connected with our solutions. In particular, the boundary Hamiltonian of seven-vertex models was obtained with a generalization to the Sklyanin's formalism.
dc.descriptionLaTeX, 16 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9808083
dc.identifierhttp://arxiv.org/abs/hep-th/9808083
dc.identifierJ.Phys.A32:3505-3523,1999
dc.identifierdoi:10.1088/0305-4470/32/19/304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185656
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleClassification of Solutions to Reflection Equation of Two-Component Systems
dc.typetext

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