Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries
The graded off-diagonal Bethe ansatz method is proposed to study supersymmetric quantum integrable models (i.e., quantum integrable models associated with superalgebras). As an example, the exact solutions of the SU(2|2) vertex model with both periodic and generic open boundary conditions are constr...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321320302911 |
| _version_ | 1819120965364219904 |
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| author | Xiaotian Xu Junpeng Cao Yi Qiao Wen-Li Yang Kangjie Shi Yupeng Wang |
| author_facet | Xiaotian Xu Junpeng Cao Yi Qiao Wen-Li Yang Kangjie Shi Yupeng Wang |
| author_sort | Xiaotian Xu |
| collection | DOAJ |
| description | The graded off-diagonal Bethe ansatz method is proposed to study supersymmetric quantum integrable models (i.e., quantum integrable models associated with superalgebras). As an example, the exact solutions of the SU(2|2) vertex model with both periodic and generic open boundary conditions are constructed. By generalizing the fusion techniques to the supersymmetric case, a closed set of operator product identities about the transfer matrices are derived, which allows us to give the eigenvalues in terms of homogeneous or inhomogeneous T−Q relations. The method and results provided in this paper can be generalized to other high rank supersymmetric quantum integrable models. |
| first_indexed | 2024-12-22T06:29:03Z |
| format | Article |
| id | doaj.art-faa676bc403f4180a8330b2894b58a4a |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-22T06:29:03Z |
| publishDate | 2020-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-faa676bc403f4180a8330b2894b58a4a2022-12-21T18:35:45ZengElsevierNuclear Physics B0550-32132020-11-01960115206Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundariesXiaotian Xu0Junpeng Cao1Yi Qiao2Wen-Li Yang3Kangjie Shi4Yupeng Wang5Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China; Peng Huanwu Center for Fundamental Theory, Xian 710127, ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; Institute of Modern Physics, Northwest University, Xian 710127, ChinaPeng Huanwu Center for Fundamental Theory, Xian 710127, China; Institute of Modern Physics, Northwest University, Xian 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xian 710127, China; School of Physics, Northwest University, Xian 710127, China; Corresponding author at: Institute of Modern Physics, Northwest University, Xian 710127, China.Institute of Modern Physics, Northwest University, Xian 710127, ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; Peng Huanwu Center for Fundamental Theory, Xian 710127, China; The Yangtze River Delta Physics Research Center, Liyang, Jiangsu, China; Corresponding author at: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.The graded off-diagonal Bethe ansatz method is proposed to study supersymmetric quantum integrable models (i.e., quantum integrable models associated with superalgebras). As an example, the exact solutions of the SU(2|2) vertex model with both periodic and generic open boundary conditions are constructed. By generalizing the fusion techniques to the supersymmetric case, a closed set of operator product identities about the transfer matrices are derived, which allows us to give the eigenvalues in terms of homogeneous or inhomogeneous T−Q relations. The method and results provided in this paper can be generalized to other high rank supersymmetric quantum integrable models.http://www.sciencedirect.com/science/article/pii/S0550321320302911 |
| spellingShingle | Xiaotian Xu Junpeng Cao Yi Qiao Wen-Li Yang Kangjie Shi Yupeng Wang Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries Nuclear Physics B |
| title | Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries |
| title_full | Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries |
| title_fullStr | Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries |
| title_full_unstemmed | Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries |
| title_short | Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries |
| title_sort | graded off diagonal bethe ansatz solution of the su 2 2 spin chain model with generic integrable boundaries |
| url | http://www.sciencedirect.com/science/article/pii/S0550321320302911 |
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