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arXiv · hep-th/0204108

A New Supersymmetric Extension of Conformal Mechanics

E. Deotto·G. Furlan·E. Gozzi
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Abstract

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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E. Deotto, G. Furlan, E. Gozzi. 2002-04-12. A New Supersymmetric Extension of Conformal Mechanics. https://doi.org/10.1016/s0370-2693(00)00493-7

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