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arXiv:1812.03618 · Journal of High Energy Physics

Exact solution of the sp(4) integrable spin chain with generic boundaries

Guang-Liang Li, Junpeng Cao, Panpan Xue, Zhi-Rong Xin, Kun Hao, Wen‐Li Yang, Kangjie Shi, Yupeng Wang

Published May 1, 2019• 6 citations
arXivHTMLPDF

Abstract

Abstract The off-diagonal Bethe ansatz method is generalized to the integrable model associated with thesp(4) (orC2) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer matrices. These relations, together with some asymptotic behaviors and values of the transfer matrices at certain points, enable us to determine the eigenvalues of the transfer matrices completely. For the periodic boundary condition case, we recover the sameT−Qrelations obtained via conventional Bethe ansatz methods previously, while for the off-diagonal boundary condition case, the eigenvalues are given in terms of inhomogeneousT−Qrelations, which could not be obtained by the conventional Bethe ansatz methods. The method developed in this paper can be directly generalized to genericsp(2n) (i.e.,Cn) integrable model.

DOI
10.1007/jhep05(2019)067

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