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arXiv:2007.10666 · Nuclear Physics B

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

Published Oct 1, 2020• 0 citations
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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.

DOI
10.1016/j.nuclphysb.2020.115206

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