Commuting quantum traces for quadratic algebras

Zoltan Nagy (1) , Jean Avan (1, 2) , Anastasia Doikou (3) , Genevieve Rollet (1)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
3 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

Consistent tensor products on auxiliary spaces, hereafter denoted "fusion procedures", are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results on reflection algebras. Applications of these procedures then yield integer-indexed families of commuting Hamiltonians.

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

Zoltan Nagy, Jean Avan, Anastasia Doikou, Genevieve Rollet. Commuting quantum traces for quadratic algebras. Journal of Mathematical Physics, 2005, 46, pp.083516. ⟨hal-00004429⟩