Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system
High Energy Physics - Theory
2009-04-02 v4 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We explain the origin and the nature of a special nonlinear supersymmetry of a reflectionless Poschl-Teller system by the Aharonov-Bohm effect for a nonrelativistic 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.
Keywords
Cite
@article{arxiv.0809.2854,
title = {Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system},
author = {Francisco Correa and Vit Jakubsky and Mikhail S. Plyushchay},
journal= {arXiv preprint arXiv:0809.2854},
year = {2009}
}
Comments
24 pages; published version