Local Differential Geometry as a Representation of the SUSY Oscillator
arXiv:hep-th/9411189 · doi:10.1063/1.531113
Abstract
This work proposes a natural extension of the Bargmann-Fock representation to a SUSY system. The main objective is to show that all essential structures of the n-dimensional SUSY oscillator are supplied by basic differential geometrical notions on an analytical R^n, except for the scalar product which is the only additional ingredient. The restriction to real numbers implies only a minor loss of structure but makes the essential features clearer. In particular, euclidean evolution is enforced naturally by identification with the 1-parametric group of dilations.
arXiv comment10 pages, latex