Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra
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 t...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003432 |
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| _version_ | 1841550726079184896 |
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| author | Guang-Liang Li Junpeng Cao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang |
| author_facet | Guang-Liang Li Junpeng Cao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang |
| author_sort | Guang-Liang Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ea9c2cf4f1c7493e9c0cfcf1b43df062 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-ea9c2cf4f1c7493e9c0cfcf1b43df0622025-01-10T04:37:52ZengElsevierNuclear Physics B0550-32132025-01-011010116777Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebraGuang-Liang Li0Junpeng Cao1Pei Sun2Wen-Li Yang3Kangjie Shi4Yupeng Wang5Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China; Peng Huanwu Center for Fundamental Theory, Xi'an 710127, ChinaPeng Huanwu Center for Fundamental Theory, Xi'an 710127, China; Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China; Corresponding authors at: Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China.Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China; Institute of Modern Physics, Northwest University, Xi'an 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, ChinaPeng Huanwu Center for Fundamental Theory, Xi'an 710127, China; Institute of Modern Physics, Northwest University, Xi'an 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China; Corresponding authors at: Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China.Institute of Modern Physics, Northwest University, Xi'an 710127, ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, ChinaA 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.http://www.sciencedirect.com/science/article/pii/S0550321324003432Bethe ansatzLattice integrable models |
| spellingShingle | Guang-Liang Li Junpeng Cao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra Nuclear Physics B Bethe ansatz Lattice integrable models |
| title | Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra |
| title_full | Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra |
| title_fullStr | Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra |
| title_full_unstemmed | Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra |
| title_short | Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra |
| title_sort | exact solution of a quantum integrable system associated with the g2 exceptional lie algebra |
| topic | Bethe ansatz Lattice integrable models |
| url | http://www.sciencedirect.com/science/article/pii/S0550321324003432 |
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