Nonlinear supersymmetry as a hidden symmetry
Abstract
Nonlinear supersymmetry is characterized by supercharges to be higher order in bosonic momenta of a system, and thus has a nature of a hidden symmetry. We review some aspects of nonlinear supersymmetry and related to it exotic supersymmetry and nonlinear superconformal symmetry. Examples of reflectionless, finite-gap and perfectly invisible PT-symmetric zero-gap systems, as well as rational deformations of the quantum harmonic oscillator and conformal mechanics, are considered, in which such symmetries are realized.
Keywords
Cite
@article{arxiv.1811.11942,
title = {Nonlinear supersymmetry as a hidden symmetry},
author = {Mikhail S. Plyushchay},
journal= {arXiv preprint arXiv:1811.11942},
year = {2019}
}
Comments
27 pages, published in: "Integrability, Supersymmetry and Coherent States", A volume in honour of Professor V\'eronique Hussin. S. Kuru, J. Negro and L.M. Nieto (Eds.), Special volume of the CRM Series in Mathematical Physics (Berlin: Springer, 2019)