INTEGRABLE LATTICE MAPS: $Q_5$, A RATIONAL VERSION OF $Q_4$

Claude Viallet (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

We give a rational form of a generic two-dimensional ``quad'' map, containing the so-called $Q_4$ case, but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Systèmes Solubles et Intégrables [nlin.SI]

Claude Viallet. INTEGRABLE LATTICE MAPS: $Q_5$, A RATIONAL VERSION OF $Q_4$. Glasgow Math. J., 2009, 51 A, pp.157. ⟨hal-00232977⟩