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}
}

Figures from this paper

Hidden superconformal symmetry of the spinless Aharonov–Bohm system

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

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

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

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

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

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

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

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
...

References

SHOWING 1-10 OF 109 REFERENCES

On the spectrum of nonrelativistic AdS/CFT

We develop a Hamiltonian picture for a family of models of nonrelativistic AdS/CFT duality. The Schrodinger group is realized via the conformal quantum mechanics of De Alfaro, Fubini and Furlan in

Peculiarities of the hidden nonlinear supersymmetry of the Pöschl–Teller system in the light of the Lamé equation

A hidden nonlinear bosonized supersymmetry was revealed recently in the Pöschl–Teller and finite-gap Lamé systems. In spite of the intimate relationship between the two quantum models, the hidden

Gravity duals for non-relativistic CFTs

We attempt to generalize the AdS/CFT correspondence to non-relativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity,

Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrodinger symmetry

We discuss a realization of the nonrelativistic conformal group (the Schr\"odinger group) as the symmetry of a spacetime. We write down a toy model in which this geometry is a solution to field

Classical and quantal nonrelativistic Chern-Simons theory.

  • JackiwPi
  • Physics
    Physical review. D, Particles and fields
  • 1990
The dynamical role of the Chern-Simons interaction is demonstrated: the interaction does not merely change statistics but also provides the forces that bind the classical solitons.

Self-isospectrality, special supersymmetry, and their effect on the band structure.

A planar model of a nonrelativistic electron in periodic magnetic and electric fields that produce a 1D crystal for two spin components separated by a half-period spacing is studied, and it is shown that the system obtained is characterized by a new type of supersymmetry.

Gravity duals for nonrelativistic conformal field theories.

This work attempts to generalize the anti-de Sitter/conformal field theory correspondence to nonrelativistic conformal field theories which are invariant under Galilean transformations, and constructs a family of metrics which realize these symmetries as isometries.
...