Off-diagonal Bethe Ansatz on the so(5) spin chain
The so(5) (i.e., B2) quantum integrable spin chains with both periodic and non-diagonal boundaries are studied via the off-diagonal Bethe Ansatz method. By using the fusion technique, sufficient operator product identities (comparing to those in [1]) to determine the spectrum of the transfer matrice...
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-09-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319302056 |
| _version_ | 1819110961305354240 |
|---|---|
| author | Guang-Liang Li Junpeng Cao Panpan Xue Kun Hao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang |
| author_facet | Guang-Liang Li Junpeng Cao Panpan Xue Kun Hao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang |
| author_sort | Guang-Liang Li |
| collection | DOAJ |
| description | The so(5) (i.e., B2) quantum integrable spin chains with both periodic and non-diagonal boundaries are studied via the off-diagonal Bethe Ansatz method. By using the fusion technique, sufficient operator product identities (comparing to those in [1]) to determine the spectrum of the transfer matrices are derived. For the periodic case, we recover the results obtained in [1], while for the non-diagonal boundary case, a new inhomogeneous T−Q relation is constructed. The present method can be directly generalized to deal with the so(2n+1) (i.e., Bn) quantum integrable spin chains with general boundaries. |
| first_indexed | 2024-12-22T03:50:02Z |
| format | Article |
| id | doaj.art-b905ae2d7eb34e388638c7bc050c711b |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-22T03:50:02Z |
| publishDate | 2019-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-b905ae2d7eb34e388638c7bc050c711b2022-12-21T18:40:02ZengElsevierNuclear Physics B0550-32132019-09-01946Off-diagonal Bethe Ansatz on the so(5) spin chainGuang-Liang Li0Junpeng Cao1Panpan Xue2Kun Hao3Pei Sun4Wen-Li Yang5Kangjie Shi6Yupeng Wang7Department of Applied Physics, Xian Jiaotong University, Xian 710049, ChinaBeijing 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, China; Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, ChinaDepartment of Applied Physics, Xian Jiaotong University, Xian 710049, ChinaInstitute of Modern Physics, Northwest University, Xian 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xian 710127, ChinaInstitute of Modern Physics, Northwest University, Xian 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xian 710127, ChinaInstitute 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: School of Physics, Northwest University, Xian 710127, China.Institute of Modern Physics, Northwest University, Xian 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xian 710127, 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; The Yangtze River Delta Physics Research Center, Liyang, Jiangsu, China; Corresponding author.The so(5) (i.e., B2) quantum integrable spin chains with both periodic and non-diagonal boundaries are studied via the off-diagonal Bethe Ansatz method. By using the fusion technique, sufficient operator product identities (comparing to those in [1]) to determine the spectrum of the transfer matrices are derived. For the periodic case, we recover the results obtained in [1], while for the non-diagonal boundary case, a new inhomogeneous T−Q relation is constructed. The present method can be directly generalized to deal with the so(2n+1) (i.e., Bn) quantum integrable spin chains with general boundaries.http://www.sciencedirect.com/science/article/pii/S0550321319302056 |
| spellingShingle | Guang-Liang Li Junpeng Cao Panpan Xue Kun Hao Pei Sun Wen-Li Yang Kangjie Shi Yupeng Wang Off-diagonal Bethe Ansatz on the so(5) spin chain Nuclear Physics B |
| title | Off-diagonal Bethe Ansatz on the so(5) spin chain |
| title_full | Off-diagonal Bethe Ansatz on the so(5) spin chain |
| title_fullStr | Off-diagonal Bethe Ansatz on the so(5) spin chain |
| title_full_unstemmed | Off-diagonal Bethe Ansatz on the so(5) spin chain |
| title_short | Off-diagonal Bethe Ansatz on the so(5) spin chain |
| title_sort | off diagonal bethe ansatz on the so 5 spin chain |
| url | http://www.sciencedirect.com/science/article/pii/S0550321319302056 |
| work_keys_str_mv | AT guangliangli offdiagonalbetheansatzontheso5spinchain AT junpengcao offdiagonalbetheansatzontheso5spinchain AT panpanxue offdiagonalbetheansatzontheso5spinchain AT kunhao offdiagonalbetheansatzontheso5spinchain AT peisun offdiagonalbetheansatzontheso5spinchain AT wenliyang offdiagonalbetheansatzontheso5spinchain AT kangjieshi offdiagonalbetheansatzontheso5spinchain AT yupengwang offdiagonalbetheansatzontheso5spinchain |