POLYNOMIAL SOLUTIONS OF qKZ EQUATION AND GROUND STATE OF XXZ SPIN CHAIN AT = −1/2

@article{Razumov2007POLYNOMIALSO,
  title={POLYNOMIAL SOLUTIONS OF qKZ EQUATION AND GROUND STATE OF XXZ SPIN CHAIN AT = −1/2},
  author={A. V. Razumov and Yu. G. Stroganov and Paul Zinn-Justin},
  journal={Journal of Physics A},
  year={2007},
  volume={40},
  pages={11827-11847}
}
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 when the deformation parameter q is equal to and the number of vertical lines of the lattice is odd, the solution under consideration is an eigenvector of the inhomogeneous transfer matrix of the six-vertex model. In the homogeneous limit, it is a ground-state eigenvector of the antiferromagnetic XXZ spin chain with the… Expand

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