Generalized supersymmetry and Lévy-Leblond equation
arXiv:1609.08760
Abstract
The symmetries of the Lévy-Leblond equation are investigated beyond the standard Lie framework. It is shown that the equation has two remarkable symmetries. One is given by the super Schrödinger algebra and the other one by a $\ZZ$ graded Lie algebra. The $\ZZ$ graded Lie algebra is achieved by transforming bosonic into fermionic operators in the super Schrödinger algebra and introducing second order differential operators as generators of symmetry.
6 pages, Talke given at GOUPR31, Rio de Janeiro, June 2016