Exotic nonlinear supersymmetry and integrable systems
High Energy Physics - Theory
2020-10-28 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Peculiar properties of many classical and quantum systems can be related to, or derived from those of a free particle. In this way we explain the appearance and peculiarities of the exotic nonlinear Poincar\'e supersymmetry in reflectionless and finite-gap quantum systems related to the Korteweg-de Vries equation. The same approach is used to explain the origin and the nature of nonlinear symmetries in the perfectly invisible -regularized conformal and superconformal mechanics systems.
Cite
@article{arxiv.2001.04133,
title = {Exotic nonlinear supersymmetry and integrable systems},
author = {Mikhail S. Plyushchay},
journal= {arXiv preprint arXiv:2001.04133},
year = {2020}
}
Comments
9 pages; Based on a talk given at International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics". September 9-13, 2019; Moscow-Dubna, Russia