68 citations · 389 across the 38 of their papers we have counts for
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Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for
Sh. Khachatryan, A. Sedrakyan
We construct the exact spectral parameter dependent vertex R-matrix for the classical 3D -state chiral Potts models, convenient for considering the model in context of…
Integrability of three dimensional models: cubic equations
Sh. Khachatryan, A. Ferraz, A. Kluemper +1
We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz approach to 2+1 dimensions and formulate the sufficient conditions for the commuta…
On the solutions of the Yang-Baxter equations with general inhomogeneous eight-vertex -matrix: Relations with Zamolodchikov's tetrahedral algebra
Sh. Khachatryan, A. Sedrakyan
We present most general one-parametric solutions of the Yang-Baxter equations (YBE) for one spectral parameter dependent -matrices of the six- and eight-vertex models, w…
Grassmann-Gaussian integrals and generalized star products
Sh. Khachatryan, R. Schrader, A. Sedrakyan
In quantum scattering on networks there is a non-linear composition rule for on-shell scattering matrices which serves as a replacement for the multiplicative rule of transfer matr…
Perturbative test of single parameter scaling for 1D random media
R. Schrader, H. Schulz-Baldes, A. Sedrakyan
Products of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hyp…