121 citations · 595 across the 22 of their papers we have counts for
22 papers
The spectrum of a vertex model and related spin one chain sitting in a genus five curve
M. J. Martins
We derive the transfer matrix eigenvalues of a three-state vertex model whose weights are based on a -matrix not of difference form with spectral parameters lying on a…
Algebro-Geometric approach for a centrally extended U_q[sl(2|2)] R-matrix
M. J. Martins
In this paper we investigate the algebraic geometric nature of a solution of the Yang-Baxter equation based on the quantum deformation of the centrally extended superalge…
Algebraic Geometry methods associated to the one-dimensional Hubbard model
M. J. Martins
In this paper we study the covering vertex model of the one-dimensional Hubbard Hamiltonian constructed by Shastry in the realm of algebraic geometry. We show that the Lax operator…
An Integrable Nineteen Vertex Model Lying on a Hypersurface
M. J. Martins
We have found a family of solvable nineteen vertex model with statistical configurations invariant by the time reversal symmetry within a systematic study of the respective Yang-Ba…
The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models
M. J. Martins, R. A. Pimenta, M. Zuparic
We discuss the -matrices associated to the -matrix of a general -state vertex model whose statistical configurations encode U(1) symmetries. The factorization condit…
The monodromy matrix in the F-basis for arbitrary six-vertex models
M. J. Martins, M. Zuparic
We present the expressions for the monodromy matrix elements of the six-vertex model in the F-basis for arbitrary Boltzmann weights. The results rely solely on the property of unit…