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arXiv · 2007.10666

Graded Off-diagonal Bethe ansatz solution of the $SU(2|2)$ spin chain model with generic integrable boundaries

Xiaotian Xu·Junpeng Cao·Yi Qiao·Wen-Li Yang·Kangjie Shi·Yupeng Wang
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Abstract

The graded off-diagonal Bethe ansatz method is proposed to study supersymmetric quantum integrable models (i.e., quantum integrable models associated with superalgebras). As an example, the exact solutions of the $SU(2|2)$ vertex model with both periodic and generic open boundary conditions are constructed. By generalizing the fusion techniques to the supersymmetric case, a closed set of operator product identities about the transfer matrices are derived, which allows us to give the eigenvalues in terms of homogeneous or inhomogeneous $T-Q$ relations. The method and results provided in this paper can be generalized to other high rank supersymmetric quantum integrable models.

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Xiaotian Xu, Junpeng Cao, Yi Qiao, Wen-Li Yang, Kangjie Shi, Yupeng Wang. 2020-07-21. Graded Off-diagonal Bethe ansatz solution of the $SU(2|2)$ spin chain model with generic integrable boundaries. https://doi.org/10.1016/j.nuclphysb.2020.115206

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