Double-Graded Supersymmetric Quantum Mechanics
Mathematical Physics
2020-06-09 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
A quantum mechanical model that realizes the -graded generalization of the one-dimensional supertranslation algebra is proposed. This model shares some features with the well-known Witten model and is related to parasupersymmetric quantum mechanics, though the model is not directly equivalent to either of these. The purpose of this paper is to show that novel "higher gradings" are possible in the context of non-relativistic quantum mechanics.
Cite
@article{arxiv.1904.06975,
title = {Double-Graded Supersymmetric Quantum Mechanics},
author = {Andrew James Bruce and Steven Duplij},
journal= {arXiv preprint arXiv:1904.06975},
year = {2020}
}
Comments
15 pages, amsart, in v.2: minor changes, bibliography added