N=4 Superconformal Mechanics and the Potential Structure of AdS Spaces

@article{Donets2000N4SM,
  title={N=4 Superconformal Mechanics and the Potential Structure of AdS Spaces},
  author={E. E. Donets and Anatoly Pashnev and Victor O. Rivelles and D.Sorokin and Mirian Tsulaia},
  journal={Physics Letters B},
  year={2000},
  volume={484},
  pages={337-346}
}

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References

SHOWING 1-10 OF 37 REFERENCES

On the structure of the n = 4 supersymmetric quantum mechanics in D = 2 and D = 3

The superfield formulation of two-dimensional N = 4 extended supersymmetric quantum mechanics (SQM) is described. It is shown that the corresponding classical Lagrangian describes the motion in the

Conformal and Superconformal Mechanics

We investigate the conformal and superconformal properties of a non-relativistic spinning particle propagating in a curved background coupled to a magnetic field and with a scalar potential. We

Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces

This contribution to the proceedings of the 1999 NATO ASI on Quantum Geometry at Akureyri, Iceland, is based on notes of lectures given by A. Strominger. Topics include N-particle conformal quantum

Geometric superfield approach to superconformal mechanics

The new general geometric approach to d=1 conformally invariant systems, previously elaborated by the authors with an example of conformal mechanics, is applied in the supersymmetry case. The authors

Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model

A complete geometrical classification of supersymmetric σ-models is given. Extended supersymmetry requires covariantly constant complex structures, and Kahler and hyperkahler manifolds play a special

N-Extended Local Supersymmetry of Massless Particles in Spaces of Constant Curvature

We review the unified description of massless spinning particles, living in spaces of constant curvature, in the framework of the pseudoclassical approach with a gauged $N$-extended worldline