Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model

• Main Authors: Guang-Liang Li, Junpeng Cao, Panpan Xue, Kun Hao, Pei Sun, Wen-Li Yang, Kangjie Shi, Yupeng Wang
• Format: Article
• Language: English
• Published: SpringerOpen 2019-12-01
• Series: Journal of High Energy Physics
• Subjects: Bethe Ansatz; Lattice Integrable Models
• Online Access: https://doi.org/10.1007/JHEP12(2019)051

Abstract The exact solutions of the D 3 1 $$ {D}_3^{(1)} $$ model (or the so(6) quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz. From the fusion, the complete operator product identities are obtained, which are sufficient to enable us to determine spectrum of the system. Eigenvalues of the fused transfer matrices are constructed by the T - Q relations for the periodic case and by the inhomogeneous T- Q one for the non-diagonal boundary reflection case. The present method can be generalized to deal with the D n 1 $$ {D}_n^{(1)} $$ model directly.