59 citations · 526 across the 49 of their papers we have counts for
49 papers
Refection Matrices for the (n+1)(2n+1)- Vertex Models: Diagonal Solutions
A. Lima-Santos
We have find the diagonal K matrix solutions of the reflection equations for a class of vertex models. These models have (n+1)(2n+1) vertices and are defined as two set of (n + 1)…
The solutions of the Yang-Baxter equation for the -vertex models through a differential approach
R. S. Vieira, A. Lima-Santos
The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differ…
On Bethe Ansatz for a Supersymmetric Vertex Model with
G. K. Sampa, A. Lima-Santos
The Algebraic Bethe ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum affine Lie superalgebra $\mathcal{U…
The algebraic Bethe Ansatz and combinatorial trees
R. S. Vieira, A. Lima-Santos
We present in this paper a comprehensive introduction to the algebraic Bethe Ansatz, taking as examples the six-vertex model with periodic and non-periodic boundary conditions. We…
Reflection matrices with symmetry
R. S. Vieira, A. Lima-Santos
We propose a classification of the reflection -matrices (solutions of the boundary Yang-Baxter equation) for the $U_{q}[\mathrm{osp}^{\left(2\right)}\left(2|2m\right)]=U_{q}[C^{…
On the Temperley-Lieb model
A. Lima-Santos
This work concerns the boundary integrability of the Temperley-Lieb model. We constructed the solutions of the graded reflection equations in order to det…