Exotic nonlinear supersymmetry and integrable systems
arXiv:2001.04133 · doi:10.1134/S1063779620040589
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 Poincaré 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.
9 pages; Based on a talk given at International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics". September 9-13, 2019; Moscow-Dubna, Russia
References in corpus (12)
- Self-isospectrality, special supersymmetry, and their effect on the band structure
- Hidden supersymmetry in quantum bosonic systems
- Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system
- Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
- Conformal bridge between asymptotic freedom and confinement
- Perfectly invisible -symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry
- Ground-state isolation and discrete flows in a rationally extended quantum harmonic oscillator
- Hidden symmetries of rationally deformed superconformal mechanics
- Klein four-group and Darboux duality in conformal mechanics
- Hidden superconformal symmetry: Where does it come from?
- Nonlinear symmetries of perfectly invisible -regularized conformal and superconformal mechanics systems
- Nonlinear supersymmetry as a hidden symmetry