# Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system

@article{Correa2008AharonovBohmEO, title={Aharonov-Bohm effect on AdS\_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system}, author={Francisco Correa and V{\'i}t Jakubsk{\'y} and Mikhail S. Plyushchay}, journal={arXiv: High Energy Physics - Theory}, year={2008} }

## 85 Citations

### Hidden superconformal symmetry of the spinless Aharonov–Bohm system

- Physics
- 2010

A hidden supersymmetry is revealed in the spinless Aharonov–Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related to the scale symmetry. As a result, a bosonized…

### 2 Hidden N = 2 supersymmetry in spinless AB system

- Physics
- 2009

A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related with the scale symmetry. As a result, a bosonized…

### Fermions in a Reissner–Nordström–anti-de Sitter black hole background and N = 4 supersymmetry with nontrivial topological charges

- Physics
- 2014

We demonstrate that the fermions in Reissner–Nordstrom–anti-de Sitter black hole background in the chiral limit m = 0, are related to an N = 4 extended one-dimensional supersymmetry with nontrivial…

### Aharonov-Bohm Effect and the Supersymmetry of Identical

- Physics
- 2010

We briefly review the relation between the Aharonov-Bohm effect and the dynamical realization of anyons. We show how the particular symmetries of the Aharonov-Bohm model give rise to the (nonlinear)…

### Discrete spectrum of the quantum Reissner-Nordström geometry

- Physics
- 2017

We start from a static, spherically symmetric space-time in the presence of an electrostatic field and construct the mini-superspace Lagrangian that reproduces the well known Reissner - Nordstr\"om…

### Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry

- Physics, Mathematics
- 2010

We study supersymmetry of a self-isospectral one-gap Poschl-Teller system in the light of a mirror symmetry that is based on spatial and shift reflections. The revealed exotic, partially broken…

### Revisiting the symmetries of the quantum smorodinsky-winternitz system in D dimensions

- Mathematics
- 2011

The D-dimensional Smorodinsky{Winternitz system, proposed some years ago by Evans, is re-examined from an algebraic viewpoint. It is shown to possess a potential algebra, as well as a dynamical…

### Nonlinear symmetries of perfectly invisible PT-regularized conformal and superconformal mechanics systems

- Mathematics, PhysicsJournal of High Energy Physics
- 2019

A bstractWe investigate how the Lax-Novikov integral in the perfectly invisible PT-regularized zero-gap quantum conformal and superconformal mechanics systems affects on their (super)-conformal…

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