Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra

被引：0
|
作者：
Li, Guang-Liang [1 ,2 ]
Cao, Junpeng [2 ,3 ,4 ,5 ]
Sun, Pei [2 ,6 ]
Yang, Wen-Li [2 ,6 ,7 ]
Shi, Kangjie [6 ]
Wang, Yupeng [3 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Phys, Minist Educ, Key Lab Nonequilibrium Synth & Modulat Condensed M, Xian 710049, Peoples R China
[2] Peng Huanwu Ctr Fundamental Theory, Xian 710127, Peoples R China
[3] Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Inst Phys, Beijing 100190, Peoples R China
[4] Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
[5] Songshan Lake Mat Lab, Dongguan 523808, Guangdong, Peoples R China
[6] Northwest Univ, Inst Modern Phys, Xian 710127, Peoples R China
[7] Shaanxi Key Lab Theoret Phys Frontiers, Xian 710127, Peoples R China
来源：
NUCLEAR PHYSICS B | 2025年 / 1010卷
关键词：
Bethe ansatz; Lattice integrable models; ANALYTICAL BETHE-ANSATZ; XXZ HEISENBERG-MODEL; N VERTEX MODEL; ARBITRARY SPIN; MATRICES; STATE;
D O I：
10.1016/j.nuclphysb.2024.116777
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
A quantum integrable spin chain model associated with the G2 exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are obtained. These identities allow us to derive the exact energy spectrum and Bethe ansatz equations of the system based on polynomial analysis. The present method provides a unified treatment to investigate the Bethe ansatz solutions for both the periodic and the non-diagonal open boundary conditions associated with exceptional Lie algebras.
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页数：21
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