121 citations · 595 across the 22 of their papers we have counts for
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Solutions of the reflection equations for the vertex model
A. Lima-Santos, M. J. Martins
We investigate the possible regular solutions of the boundary Yang-Baxter equation for the fundamental vertex model. We find four distinct classes of reflection matrices…
Solution of the SU(N) Vertex Model with Non-Diagonal Open Boundaries
W. Galleas, M. J. Martins
We diagonalize the double-row transfer matrix of the SU(N) vertex model for certain classes of non-diagonal boundary conditions. We derive explicit expressions for the correspondin…
Integrable SU(N) vertex models with general toroidal boundary conditions
G. A. P. Ribeiro, M. J. Martins, W. Galleas
We formulate the algebraic Bethe ansatz solution of the SU(N) vertex models with rather general non-diagonal toroidal boundary conditions. The reference states needed in the Bethe…
Integrability of the vertex models with open boundary
M. J. Martins, X. W. Guan
We investigate various aspects of the integrability of the vertex models associated to the affine Lie algebra with open boundaries. We first study the solutions of the corr…