Superconformal Mechanics and the Super Virasoro Algebra
High Energy Physics - Theory
2009-11-07 v2
Abstract
We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators are quantized and a general prescription is given for the construction of the N=1 algebra independently of the specific details of the superconformal mechanics provided that in addition its quadratic Casimir operator vanishes.
Cite
@article{arxiv.hep-th/0101017,
title = {Superconformal Mechanics and the Super Virasoro Algebra},
author = {Alon Marcus},
journal= {arXiv preprint arXiv:hep-th/0101017},
year = {2009}
}
Comments
Latex, 12 pages, references added, a minor correction