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.