Symmetry in Nonlinear Mathematical Physics - 2009

Vit Jakubsky (University of Santiago de Chile, Santiago, Chile)

On the hidden supersymmetry of the reflectionless Poschl-Teller model

We will discuss the reflectionless Poschl-Teller model from the perspective of the two dimensional non-relativistic system living in AdS2 space in the presence of a magnetic vortex. The higher dimensional setting will provide an explanation to the origin of the superalgebraic structure possessed by Poschl-Teller system.