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

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 The finite size spectrum of the critical ℤ 2-staggered spin-1/2 XXZ model with
quantum group invariant boundary conditions is studied. For a particular (self-dual) choice of …

A bstract Non-compact Conformal Field Theories (CFTs) are central to several aspects of
string theory and condensed matter physics. They are characterised, in particular, by the …

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 …

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 …

Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-
matrices associated to affine Lie algebras g ˆ, and from certain K-matrices (reflection …

One-dimensional critical integrable lattice models with a finite-dimensional degree of
freedom attached to each lattice site can exhibit the remarkable phenomenon of the …