Integrable Hierarchies, Solitons and Infinite Dimensional Algebras
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| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Miami, Dept Phys, POB 248046, Coral Gables, FL 33124 - USA
[2] Univ Sao Paulo, Inst Fis Sao Carlos, Caixa Postal 369, BR-13560590 Sao Carlos, SP - Brazil
[3] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Sao Paulo - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Nuclear Physics B; v. 924, p. 86-127, NOV 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
A family of A(2n)((2)) integrable open spin chains with U-q(C-n) symmetry was recently identified in arXiv:1702.01482. We identify here in a similar way a family of A(2n-1)((2)) integrable open spin chains with U-q(D-n) symmetry, and two families of D-n+1((2)) integrable open spin chains with U-q(B-n) symmetry. We discuss the consequences of these symmetries for the degeneracies and multiplicities of the spectrum. We propose Bethe ansatz solutions for two of these models, whose completeness we check numerically for small values of nand chain length N. We find formulas for the Dynkin labels in terms of the numbers of Bethe roots of each type, which are useful for determining the corresponding degeneracies. In an appendix, we briefly consider D-n+1((2)) chains with other integrable boundary conditions, which do not have quantum group symmetry. (C) 2017 The Author(s). Published by Elsevier B.V. (AU) | |
| FAPESP's process: | 16/50023-5 - Temperley-Lieb spin chains |
| Grantee: | Antonio Lima Santos |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/00025-9 - Backlund transformations in integrable hierarchies, solitons and integrable defects |
| Grantee: | Ana Lúcia Retore |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 17/03072-3 - Quantum Group Symmetries for A_(2n-1)^(2) models |
| Grantee: | Ana Lúcia Retore |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 17/02987-8 - New developments in quantum spin chains |
| Grantee: | Rodrigo Alves Pimenta |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 14/00453-8 - Open boundary integrability: theory and applications |
| Grantee: | Rodrigo Alves Pimenta |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |