We derive the Bethe ansatz equations describing the complete spectrum of the transition
matrix of the partially asymmetric exclusion process with the most general open boundary …

The anisotropic spin-1 2 chains with arbitrary boundary fields are diagonalized with the off-
diagonal Bethe ansatz method. Based on the properties of the R-matrix and the K-matrices …

We collect and systematize general definitions and facts on the application of quantum
groups to the construction of functional relations in the theory of integrable systems. As an …

The integrable quantum models, associated with the transfer matrices of the 6-vertex
reflection algebra for spin-1/2 representations, are studied in this paper. In the framework of …

The asymmetric simple exclusion process with open boundaries, which is a very simple
model of out-of-equilibrium statistical physics, is known to be integrable. In particular, its …

The modified algebraic Bethe ansatz, introduced by Crampé and the author [8], is used to
characterize the spectral problem of the Heisenberg XXZ spin-1 2 chain on the segment with …

Based on the inhomogeneous T− Q relation constructed via the off-diagonal Bethe Ansatz,
the Bethe-type eigenstates of the XXZ spin-1 2 chain with arbitrary boundary fields are …

A bstract The nested off-diagonal Bethe ansatz method is proposed to diagonalize multi-
component integrable models with generic integrable boundaries. As an example, the exact …

All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS 5/CFT 4 have
been proposed by Beisert and Roiban. We propose a Drinfeld-Reshetikhin twist of the AdS …

A bstract The Izergin-Korepin model with general non-diagonal boundary terms, a typical
integrable model beyond A-type and without U (1)-symmetry, is studied via the offdiagonal …