Exact solution of the sp(4) integrable spin chain with generic boundaries

Journal of High Energy Physics

Guang-Liang Li¹  Panpan Xue¹  Kangjie Shi²  Zhi-Rong Xin²  Kun Hao³  Wen-Li Yang⁴  Yupeng Wang⁵  Junpeng Cao⁶ 

[1] 0000 0001 0599 1243, grid.43169.39, Department of Applied Physics, Xian Jiaotong University, 710049, Xian, China;0000 0004 1761 5538, grid.412262.1, Institute of Modern Physics, Northwest University, 710127, Xian, China;0000 0004 1761 5538, grid.412262.1, Institute of Modern Physics, Northwest University, 710127, Xian, China;Shaanxi Key Laboratory for Theoretical Physics Frontiers, 710127, Xian, China;0000 0004 1761 5538, grid.412262.1, Institute of Modern Physics, Northwest University, 710127, Xian, China;Shaanxi Key Laboratory for Theoretical Physics Frontiers, 710127, Xian, China;0000 0004 1761 5538, grid.412262.1, School of Physics, Northwest University, 710127, Xian, China;0000000119573309, grid.9227.e, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China;0000 0004 1797 8419, grid.410726.6, School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China;0000000119573309, grid.9227.e, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China;Songshan Lake Materials Laboratory, 523808, Dongguan, Guangdong, China;0000 0004 1797 8419, grid.410726.6, School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China;

关键词: Bethe Ansatz;    Lattice Integrable Models;   

DOI  :  10.1007/JHEP05(2019)067

来源: publisher

【 摘 要 】

The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the sp(4) (or C2) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer matrices. These relations, together with some asymptotic behaviors and values of the transfer matrices at certain points, enable us to determine the eigenvalues of the transfer matrices completely. For the periodic boundary condition case, we recover the same T − Q relations obtained via conventional Bethe ansatz methods previously, while for the off-diagonal boundary condition case, the eigenvalues are given in terms of inhomogeneous T − Q relations, which could not be obtained by the conventional Bethe ansatz methods. The method developed in this paper can be directly generalized to generic sp(2n) (i.e., Cn) integrable model.

【 授权许可】

Unknown