Details

Autor(en) / Beteiligte

• Li, Guang-Liang
• Cao, Junpeng
• Hao, Kun
• Sun, Pei
• Xu, Xiaotian
• Yang, Tao
• Yang, Wen-Li

Titel

Spectrum of the Transfer Matrices of the Spin Chains Associated with the A3(2) Lie Algebra

Ist Teil von

• Communications in mathematical physics, 2023, Vol.399 (2), p.651-672

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study the exact solution of quantum integrable system associated with the A 3 ( 2 ) twist Lie algebra, where the boundary reflection matrices have non-diagonal elements thus the U (1) symmetry is broken. With the help of the fusion technique, we obtain the closed recursive relations of the fused transfer matrices. Based on them, together with the asymptotic behaviors and the values at special points, we obtain the eigenvalues and Bethe ansatz equations of the system. We also show that the method is universal and valid for the periodic boundary condition where the U (1) symmetry is reserved. The results in this paper can be applied to studying the exact solution of the A n ( 2 ) -related integrable models with arbitrary n .