215 citations · 1k across the 30 of their papers we have counts for
30 papers
A possible combinatorial point for XYZ-spin chain
A. V. Razumov, Yu. G. Stroganov
We formulate and discuss a number of conjectures on the ground state vectors of the XYZ-spin chains of odd length with periodic boundary conditions and a special choice of the Hami…
Three-coloring statistical model with domain wall boundary conditions. II. Trigonometric limit
A. V. Razumov, Yu. G. Stroganov
A nontrivial trigonometric limit of the three-coloring statistical model with the domain wall boundary conditions is considered. In this limit the functional equations, constructed…
Three-coloring statistical model with domain wall boundary conditions. I. Functional equations
A. V. Razumov, Yu. G. Stroganov
In 1970 Baxter considered the statistical three-coloring lattice model for the case of toroidal boundary conditions. He used the Bethe ansatz and found the partition function of th…
Polynomial solutions of qKZ equation and ground state of XXZ spin chain at Delta = -1/2
A. V. Razumov, Yu. G. Stroganov, P. Zinn-Justin
Integral formulae for polynomial solutions of the quantum Knizhnik-Zamolodchikov equations associated with the R-matrix of the six-vertex model are considered. It is proved that wh…
Bethe roots and refined enumeration of alternating-sign matrices
A. V. Razumov, Yu. G. Stroganov
The properties of the most probable ground state candidate for the XXZ spin chain with the anisotropy parameter equal to -1/2 and an odd number of sites is considered. Some linear…
Enumeration of quarter-turn symmetric alternating-sign matrices of odd order
A. V. Razumov, Yu. G. Stroganov
It was shown by Kuperberg that the partition function of the square-ice model related to the quarter-turn symmetric alternating-sign matrices of even order is the product of two si…