Deformation of Wess–Zumino–Witten fusion rules from open q-boson models with diagonal boundary conditions* * Work was supported in part by the Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) Grant # 1170179.

Abstract

It is known from work of Korff that the q-boson model with periodic boundary conditions gives rise to a q-deformation of the Wess–Zumino–Witten fusion algebra of type Â. We employ recent results on the diagonalization of a finite aperiodic q-boson model with diagonal open end boundary conditions, so as to construct an analogous deformation of the Wess–Zumino–Witten fusion algebra of type .