Abstract
We describe a class of algebraically solvable SUSY models by considering the deformation of invariant polynomial flags by means of the Darboux transformation. The algebraic deformations corresponding to the addition of a bound state to a shape-invariant potential are particularly interesting. The polynomial flags in question are indexed by a deformation parameter m=1,2,... and lead to new algebraically solvable models. We illustrate these ideas by considering deformations of the hyperbolic Pöschl-Teller potential.
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