English

Off-diagonal Bethe Ansatz for the $D^{(1)}_3$ model

Mathematical Physics 2022-12-27 v4 Statistical Mechanics High Energy Physics - Theory math.MP

Abstract

The exact solutions of the D3(1)D^{(1)}_3 model (or the so(6)so(6) quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz. From the fusion, the complete operator product identities are obtained, which are sufficient to enable us to determine spectrum of the system. Eigenvalues of the fused transfer matrices are constructed by the TQT-Q relations for the periodic case and by the inhomogeneous TQT-Q one for the non-diagonal boundary reflection case. The present method can be generalized to deal with the Dn(1)D^{(1)}_{n} model directly.

Keywords

Cite

@article{arxiv.1909.08534,
  title  = {Off-diagonal Bethe Ansatz for the $D^{(1)}_3$ model},
  author = {Guang-Liang Li and Junpeng Cao and Panpan Xue and Kun Hao and Pei Sun and Wen-Li Yang and Kangjie Shi and Yupeng Wang},
  journal= {arXiv preprint arXiv:1909.08534},
  year   = {2022}
}

Comments

typos are corrected. arXiv admin note: text overlap with arXiv:1902.08891

R2 v1 2026-06-23T11:19:22.384Z