A New Supersymmetric Extension of Conformal Mechanics

Details A New Supersymmetric Extension of Conformal Mechanics A New Supersymmetric Extension of Conformal Mechanics

2002-04-12

arxiv.org/abs/hep-th/0204108v1

Phys.Lett. B481 (2000) 315-322

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures

Scientific paper

10.1016/S0370-2693(00)00493-7

In this paper a new supersymmetric extension of conformal mechanics is put forward. The beauty of this extension is that all variables have a clear geometrical meaning and the super-Hamiltonian turns out to be the Lie-derivative of the Hamiltonian flow of standard conformal mechanics. In this paper we also provide a supersymmetric extension of the other conformal generators of the theory and find their "square-roots". The whole superalgebra of these charges is then analyzed in details. We conclude the paper by showing that, using superfields, a constraint can be built which provides the exact solution of the system.

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