263 citations · 921 across the 24 of their papers we have counts for
5 papers · 1 filter
Integrable Lattice Maps: , a Rational Version of
Claude Viallet
We give a rational form of a generic two-dimensional "quad" map, containing the so-called case, but whose coefficients are free. Its integrability is proved using the calcula…
A comment on free-fermion conditions for lattice models in two and more dimensions
J. M. Maillard, C. M. Viallet
We analyze free-fermion conditions on vertex models. We show --by examining examples of vertex models on square, triangular, and cubic lattices-- how they amount to degeneration co…
Deformations of Dynamics Associated to the Chiral Potts Model
M. P. Bellon, J-M. Maillard, G. Rollet +1
We describe deformations of non-linear (birational) representations of discrete groups generated by involutions, having their origin in the theory of the symmetric five-state Potts…
General Solution of the Consistency Equation
M. Dubois-Violette, M. Henneaux, M. Talon +1
We produce the general solution of the Wess-Zumino consistency condition for gauge theories of the Yang-mills type, for any ghost number and form degree. We resolve the problem of…
On the Symmetries of Integrability
M. Bellon, J-M. Maillard, C. Viallet
We show that the Yang-Baxter equations for two dimensional models admit as a group of symmetry the infinite discrete group . The existence of this symmetry explains the…