English

A New Supersymmetric Extension of Conformal Mechanics

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0204108,
  title  = {A New Supersymmetric Extension of Conformal Mechanics},
  author = {E. Deotto and G. Furlan and E. Gozzi},
  journal= {arXiv preprint arXiv:hep-th/0204108},
  year   = {2009}
}

Comments

11 pages, no figures