We present LieART 2.0 which contains substantial extensions to the Mathematica
application LieART (Lie Algebras and Representation T heory) for computations frequently …

A bstract Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-
periodic\({D} _3^{(2)}\) spin chain. Supported by a detailed symmetry analysis, we determine …

Yang–Baxter integrable vertex models with a generic Z2-staggering can be expressed in
terms of composite R-matrices given in terms of the elementary R-matrices. Similarly …

A bstract We present an exact mapping between the staggered six-vertex model and an
integrable model constructed from the twisted affine\({D} _2^ 2\) Lie algebra. Using the …

A bstract We express\({D} _2^{(2)}\) transfer matrices as products of\({A} _1^{(1)}\) transfer
matrices, for both closed and open spin chains. We use these relations, which we call …

We propose new families of solutions of the boundary Yang–Baxter equation. The open spin-
chain transfer matrices constructed with these K-matrices have quantum group symmetry …

A bstract Exact solution of the quantum integrable\({D} _2^{(2)}\) spin chain with generic
integrable boundary fields is constructed. It is found that the transfer matrix of this model can …

Two branches of integrable open quantum-group invariant quantum spin chains are known.
For one branch (), a complete Bethe ansatz solution has been proposed. However, the other …

Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-
systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains …

Using anisotropic R-matrices associated with affine Lie algebras g ˆ (specifically, A 2 n (2), A
2 n− 1 (2), B n (1), C n (1), D n (1)) and suitable corresponding K-matrices, we construct …