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Integrable boundary conditions for the B2 model

Integrable boundary conditions for the B2 model
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摘要 New integrable B2 model with off-diagonal boundary reflections is proposed.The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique.Wefind that the reflection matrix has 7 free boundary parameters,which are used to describe the degree of freedom of boundary couplings,without breaking the integrability of the system.The new quantization conditions will induce the novel structure of the energy spectrum and the boundary states.The corresponding boundary effects can be studied based on the results in this paper.Meanwhile,the reflection matrix of high rank models associated with Bnalgebra can also be obtained by using the method suggested in this paper. New integrable B2 model with off-diagonal boundary reflections is proposed. The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique. Wefind that the reflection matrix has 7 free boundary parameters, which are used to describe the degree of freedom of boundary couplings, without breaking the integrability of the system. The new quantization conditions will induce the novel structure of the energy spectrum and the boundary states. The corresponding boundary effects can be studied based on the results in this paper. Meanwhile, the reflection matrix of high rank models associated with Bnalgebra can also be obtained by using the method suggested in this paper.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2020年第1期5-12,共8页 理论物理通讯(英文版)
基金 Supported by the National Program for Basic Research of MOST(Grant Nos.2016YFA0300600 and 2016YFA0302104) the National Natural Science Foundation of China(Grant Nos.11934015,11975183,11547045,11774397,11775178,11775177 and 91536115) Australian Research Council(Grant No.DP 190101529) the Major Basic Research Program of Natural Science of Shaanxi Province(Grant Nos.2017KCT-12,2017ZDJC-32) the Double First-Class University Construction Project of Northwest University.
关键词 BETHE ANSATZ lattice INTEGRABLE models YANG-BAXTER EQUATION reflection EQUATION Bethe Ansatz lattice integrable models Yang-Baxter equation reflection equation
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