Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries

Junpeng Cao; Wen-Li Yang; Kangjie Shi; Yupeng Wang

doi:10.1007/JHEP04(2014)143

Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries

High Energy Physics - Theory 2015-06-18 v2 Statistical Mechanics Mathematical Physics math.MP

Authors: Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

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Abstract

The nested off-diagonal Bethe ansatz method is proposed to diagonalize multi-component integrable models with generic integrable boundaries. As an example, the exact solutions of the su(n)-invariant spin chain model with both periodic and non-diagonal boundaries are derived by constructing the nested T-Q relations based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices.

Keywords

nested off-diagonal Bethe ansatz su(n) spin chain integrable boundaries exact solutions T-Q relations transfer matrices operator product identities

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@article{arxiv.1312.4770,
  title  = {Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries},
  author = {Junpeng Cao and Wen-Li Yang and Kangjie Shi and Yupeng Wang},
  journal= {arXiv preprint arXiv:1312.4770},
  year   = {2015}
}

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Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries

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