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arXiv · 2610.31381

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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Yi Qiao, Pei Sun, Xiaotian Xu, Junpeng Cao, Guang-Liang Li, Wen-Li Yang, Kangjie Shi, Yupeng Wang. 2026-10-22. An elliptic generalization of the $D^{(2)}_{2}$ Spin chain. https://arxiv.org/abs/2610.31381

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