Aharonov-Bohm effect on AdS(2) and nonlinear supersymmetry of reflectionless Poschl-Teller system

摘要

We explain the origin and the nature of a special nonlinear supersymmetry of a reflectionless Pbschl-Teller system by the Aharonov-Bohm effect for a non-relativistic particle on the AdS(2). A key role in the supersymmetric structure appearing after reduction by a compact generator of the AdS(2) isometry is shown to be played by the discrete symmetries related to the space and time reflections in the ambient Minkowski space. We also observe that a correspondence between the two quantum non-relativistic systems is somewhat of the AdS/CFT holography nature.