Vertex operators for boundary algebras

E. Ragoucy (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

We construct embeddings of boundary algebras B into ZF algebras A. Since it is known that these algebras are the relevant ones for the study of quantum integrable systems (with boundaries for B and without for A), this connection allows to make the link between different approaches of the systems with boundaries. The construction uses the well-bred vertex operators built recently, and is classified by reflection matrices. It relies only on the existence of an R-matrix obeying a unitarity condition, and as such can be applied to any infinite dimensional quantum group.

Domaines: Algèbres quantiques [math.QA]; Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

E. Ragoucy. Vertex operators for boundary algebras. Letters in Mathematical Physics, 2001, 58, pp.249-260. ⟨hal-00122115⟩