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arXiv · 2001.04133

Exotic nonlinear supersymmetry and integrable systems

Mikhail S. Plyushchay
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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 $\mathcal{PT}$-regularized conformal and superconformal mechanics systems.

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Mikhail S. Plyushchay. 2020-01-13. Exotic nonlinear supersymmetry and integrable systems. https://doi.org/10.1134/s1063779620040589

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