Generalized supersymmetry and L\'evy-Leblond equation
Mathematical Physics
2018-03-06 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
The symmetries of the L\'evy-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 Schr\"odinger algebra and the other one by a graded Lie algebra. The graded Lie algebra is achieved by transforming bosonic into fermionic operators in the super Schr\"odinger algebra and introducing second order differential operators as generators of symmetry.
Cite
@article{arxiv.1609.08760,
title = {Generalized supersymmetry and L\'evy-Leblond equation},
author = {N. Aizawa and Z. Kuznetsova and H. Tanaka and F. Toppan},
journal= {arXiv preprint arXiv:1609.08760},
year = {2018}
}
Comments
6 pages, Talke given at GOUPR31, Rio de Janeiro, June 2016