Bethe ansatz solution of the $τ_2$-model with arbitrary boundary fields

Xiaotian Xu, Kun Hao, Tao Yang, Junpeng Cao, Wen-Li Yang, Kangjie Shi

Published 2016-08-22Version 1

The quantum $\tau_2$-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an inhomogeneous T-Q relation, which is based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices. Moreover, the associated Bethe Ansatz equations are also obtained.