On the Symmetries of Integrability

  title={On the Symmetries of Integrability},
  author={Monica Bellon and J-M. Maillard and C. Viallet},
We show that the Yang-Baxter equations for two dimensional models admit as a group of symmetry the infinite discrete group A (1) 2. The existence of this symmetry explains the presence of a spectral parameter in the solutions of the equations. We show that similarly, for three-dimensional vertex models and the associated tetrahedron equations, there also… CONTINUE READING