Quantum Mechanics in Grassmann Space, Supersymmetry and Gravity
Abstract
Description
A particle which lives in a d-dimensional ordinary and a d-dimensional Grassmann space manifests itself in an ordinary four-dimensional subspace as a spinor, a scalar or a vector with charges. Operators of the Lorentz transformations and translations in both spaces form the super- Poincar\' e algebra. It is the super-Pauli-Ljubanski vector which generates spinors. Vielbeins and spin connections with the Lorentz index larger than or equal to five may manifest in a four-dimensional subspace as an electromagnetic, a weak and a colour field.
13 Pages (Latex), no figures. preprint Ljubljana IJS.TP.94/8, Talk prepared for 27th International Conference on High Energy Physics, Glasgow, 20-27 July 1994
13 Pages (Latex), no figures. preprint Ljubljana IJS.TP.94/8, Talk prepared for 27th International Conference on High Energy Physics, Glasgow, 20-27 July 1994