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}
}41 Citations
Potential structure of AdS spaces
- Mathematics
- 2000
The dynamics of anN=4 spinning particle in a curved background with the action invariant under the “small” superconformal group is described using theN=4 superfield formalism. It is shown that…
N = 4 supersymmetric Eguchi-Hanson sigma model in d = 1
- Physics
- 2005
We show that it is possible to construct a supersymmetric mechanics with four supercharges possessing not conformally flat target space. A general idea of constructing such models is presented. A…
Higher spin fields from a worldline perspective
- Physics
- 2007
Higher spin fields in four dimensions, and more generally conformal fields in arbitrary dimensions, can be described by spinning particle models with a gauged SO(N) extended supergravity on the…
The curved WDVV equations and superfields
- MathematicsJournal of Physics: Conference Series
- 2019
We reproduce the N = 4 supersymmetric mechanics on curved spaces, constructed earlier within the Hamiltonian formalism, using the superfield methods. We show that for any such mechanics, given by the…
N=4 Supersymmetric Mechanics in Harmonic Superspace
- Physics
- 2003
We define N=4, d=1 harmonic superspace HR 1+2|4 with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2)× SU(2) of N=4, d=1 Poincare supersymmetry. We…
A pr 2 01 8 N = 4 supersymmetric mechanics on curved spaces
- Physics, Mathematics
- 2018
We present N=4 supersymmetric mechanics on n-dimensional Riemannian manifolds constructed within the Hamiltonian approach. The structure functions entering the supercharges and the Hamiltonian obey…
N=4 supersymmetric mechanics on curved spaces
- Physics, Mathematics
- 2017
We present ${\cal N}{=}\,4$ supersymmetric mechanics on $n$-dimensional Riemannian manifolds constructed within the Hamiltonian approach. The structure functions entering the supercharges and the…
References
SHOWING 1-10 OF 37 REFERENCES
On the structure of the n = 4 supersymmetric quantum mechanics in D = 2 and D = 3
- Physics
- 1996
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
- Physics, Mathematics
- 2000
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
- Physics
- 1999
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
- Physics
- 1989
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
- Mathematics
- 1981
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
- Physics
- 1996
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…