Combinatorial point for higher spin loop models

Paul Zinn-Justin (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

Integrable loop models associated with higher representations (spin k/2) of U_q(sl(2)) are investigated at the point q=-e^{i\pi/(k+2)}. The ground state eigenvalue and eigenvectors are described. Introducing inhomogeneities into the models allows to derive a sum rule for the ground state entries.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Combinatoire [math.CO]; Systèmes Solubles et Intégrables [nlin.SI]; Mécanique statistique [cond-mat.stat-mech]

Paul Zinn-Justin. Combinatorial point for higher spin loop models. Communications in Mathematical Physics, 2007, 272, pp.661-682. ⟨hal-00154474⟩