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18 April 2024
 
  » arxiv » 1902.8891

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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 ;
Date 24 Feb 2019
AbstractThe $so(5)$ (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 [1], 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.
Source arXiv, 1902.8891
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