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PreprintarXiv licencearXiv

An elliptic generalization of the D(2)2 Spin chain

  • Yi Qiao
  • Pei Sun
  • Xiaotian Xu
  • Junpeng Cao
  • Guang-Liang Li
  • Wen-Li Yang
  • Kangjie Shi
  • Yupeng Wang
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Abstract

An integrable elliptic generalization of the closed D(2)2 quantum spin chain is constructed. Taking the trigonometric limit, we have shown that the corresponding R-matrix reduces to that of the D(2)2 one, up to a similarity transformation. Basing on the very fact of the factorization for the R-matrix and the corresponding transfer matrix which indeed ensures the integrability of the model, we give the exact solution of the model which can be expressed in terms of a homogeneous T-Q relation.

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Cite

BibTeXRIS
BibTeX
@misc{qiao2026elliptic,
  title = {{An elliptic generalization of the $D^(2)_2$ Spin chain}},
  author = {Yi Qiao and Pei Sun and Xiaotian Xu and Junpeng Cao and Guang-Liang Li and Wen-Li Yang and Kangjie Shi and Yupeng Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31381},
  eprint = {2610.31381},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31381},
}
RIS
TY  - UNPB
TI  - An elliptic generalization of the D^(2)_2 Spin chain
AU  - Yi Qiao
AU  - Pei Sun
AU  - Xiaotian Xu
AU  - Junpeng Cao
AU  - Guang-Liang Li
AU  - Wen-Li Yang
AU  - Kangjie Shi
AU  - Yupeng Wang
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.31381
UR  - https://arxiv.org/abs/2610.31381
AB  - An integrable elliptic generalization of the closed D^(2)_2 quantum spin chain is constructed. Taking the trigonometric limit, we have shown that the corresponding R-matrix reduces to that of the D^(2)_2 one, up to a similarity transformation. Basing on the very fact of the factorization for the R-matrix and the corresponding transfer matrix which indeed ensures the integrability of the model, we give the exact solution of the model which can be expressed in terms of a homogeneous T-Q relation.
ER  -