Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-27
J.Math.Phys. 41 (2000) 8083-8107
Physics
High Energy Physics
High Energy Physics - Theory
Superfield re-defined
Scientific paper
In this paper we propose a new supersymmetric extension of conformal mechanics. The Grassmannian variables that we introduce are the basis of the forms and of the vector-fields built over the symplectic space of the original system. Our supersymmetric Hamiltonian itself turns out to have a clear geometrical meaning being the Lie-derivative of the Hamiltonian flow of conformal mechanics. Using superfields we derive a constraint which gives the exact solution of the supersymmetric system in a way analogous to the constraint in configuration space which solved the original non-supersymmetric model. Besides the supersymmetric extension of the original Hamiltonian, we also provide the extension of the other conformal generators present in the original system. These extensions have also a supersymmetric character being the square of some Grassmannian charge. We build the whole superalgebra of these charges and analyze their closure. The representation of the even part of this superalgebra on the odd part turns out to be integer and not spinorial in character.
Deotto Enrico
Furlan G.
Gozzi Ennio
No associations
LandOfFree
A New Superconformal Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A New Superconformal Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Superconformal Mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-271190