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Lax pair formulation for the open boundary Osp(1|2)spin chain

Lax pair formulation for the open boundary Osp(1|2) spin chain

作     者:Xiaoyu Zhang Kun Hao Xiaoyu Zhang;Kun Hao

作者机构:Institute of Modern PhysicsNorthwest UniversityXi'an 710127China Peng Huanwu Center for Fundamental TheoryXi'an 710127China 

出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))

年 卷 期:2022年第74卷第11期

页      面:65-76页

核心收录:

学科分类:07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基  金:supported by the National Natural Science Foundation of China(Grant Nos.12275214,11805152,12047502 and 11947301) the Natural Science Basic Research Program of Shaanxi Province Grant Nos.2021JCW-19 and 2019JQ-107 Shaanxi Key Laboratory for Theoretical Physics Frontiers in China 

主  题:Bethe Ansatz lattice integrable models quantum spin chain supersymmetry algebra 

摘      要:Based on the Lax pair formulation,we study the integrable conditions of the Osp(1|2)spin chain with open *** consider both the non-graded and graded versions of the Osp(1|2)*** Lax pair operators M_(±)for the boundaries can be induced by the Lax operator M_(j)for the bulk of the *** correspond to the reflection equations(RE)and the Yang-Baxter equation,*** further calculate the boundary K-matrices for both the non-graded and graded versions of the model with open *** double row monodromy matrix and transfer matrix of the spin chain have also been *** K-matrices obtained from the Lax pair formulation are consistent with those from Sklyanin’s *** construction is another way to prove the quantum integrability of the Osp(1|2)*** find that the Lax pair formulation has advantages in dealing with the boundary terms of the supersymmetric model.

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