Hidden symmetries of deformed oscillators
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Publication:1676150
DOI10.1016/j.nuclphysb.2017.09.003zbMath1373.34052arXiv1612.07832OpenAlexW2569783462MaRDI QIDQ1676150
Olaf Lechtenfeld, Sergey Krivonos, Alexander S. Sorin
Publication date: 3 November 2017
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07832
Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of Lie algebras and superalgebras to integrable systems (17B80)
Cites Work
- Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
- Real forms of nonlinear superconformal and quasi-superconformal algebras and their unified realization
- Four-dimensional Hall mechanics as a particle on \(\mathbb CP^3\)
- Minimal realization of \(\ell\)-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
- SU(1,2) invariance in two-dimensional oscillator
- Dynamical realizations of $\mathcal {N}=1$N=1 l-conformal Galilei superalgebra
- A realization of the Lie algebra associated to a Kantor triple system
- SU(2) reductions in $\mathcal N$= 4 multidimensional supersymmetric mechanics
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