84 citations · 622 across the 37 of their papers we have counts for
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Integrable Vertex Models with General Twists
M. J. Martins
We review recent progress towards the solution of exactly solved isotropic vertex models with arbitrary toroidal boundary conditions. Quantum space transformations make it possible…
Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations
G. A. P. Ribeiro, M. J. Martins
We diagonalize the transfer matrix of a solvable vertex model constructed by combining the vector representation of U_q[Sl(n|m)] and its dual by means of the quantum inverse scatte…
New R-matrices from Representations of Braid-Monoid Algebras based on Superalgebras
W. Galleas, M. J. Martins
In this paper we discuss representations of the Birman-Wenzl-Murakami algebra as well as of its dilute extension containing several free parameters. These representations are based…
Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
C. S. Melo, G. A. P. Ribeiro, M. J. Martins
We consider the algebraic Bethe ansatz solution of the integrable and isotropic XXX-S Heisenberg chain with non-diagonal open boundaries. We show that the corresponding K-matrices…
Mixed integrable SU(N) vertex model with arbitrary twists
G. A. P. Ribeiro, M. J. Martins
We consider the quantum inverse scattering method for several mixed integrable models based on the rational SU(N) R-matrix with general toroidal boundary conditions. This includes…
R-matrices and Spectrum of Vertex Models based on Superalgebras
W. Galleas, M. J. Martins
In this paper we investigate trigonometric vertex models associated with solutions of the Yang-Baxter equation which are invariant relative to q-deformed superalgebras sl(r|2m)^(2)…