Off-diagonal Bethe Ansatz on the $so(5)$ spin chain

Guang-Liang Li; Junpeng Cao; Panpan Xue; Kun Hao; Pei Sun; Wen-Li Yang; Kangjie Shi; Yupeng Wang

doi:10.1016/j.nuclphysb.2019.114719

Off-diagonal Bethe Ansatz on the $so(5)$ spin chain

Mathematical Physics 2019-09-18 v2 Statistical Mechanics High Energy Physics - Theory math.MP

Authors: Guang-Liang Li , Junpeng Cao , Panpan Xue , Kun Hao , Pei Sun , Wen-Li Yang , Kangjie Shi , Yupeng Wang

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Abstract

The $so(5)$ (i.e., $B_2$ ) 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 \cite{NYReshetikhin1}, 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., $B_n$ ) quantum integrable spin chains with general boundaries.

Keywords

bethe ansatz spin chains spin systems

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@article{arxiv.1902.08891,
  title  = {Off-diagonal Bethe Ansatz on the $so(5)$ spin chain},
  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:1902.08891},
  year   = {2019}
}

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Published version, 42 pages, no figure

Off-diagonal Bethe Ansatz on the $so(5)$ spin chain

Abstract

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