Generalized supersymmetry and Lévy-Leblond equation

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.

arXiv comment6 pages, Talke given at GOUPR31, Rio de Janeiro, June 2016

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