Hidden symmetries of the Higgs oscillator and the conformal algebra

DOI10.1088/1751-8113/50/1/015202zbMath1359.81109arXiv1604.00521OpenAlexW2337398691MaRDI QIDQ2965337

Rongvoram Nivesvivat, Oleg Evnin

Publication date: 2 March 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00521

zbMATH Keywords

nonlinear algebrahidden symmetryAnti-de Sitter spacetimesuperintagrability

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

General first-order mass ladder operators for Klein–Gordon fields ⋮ Time-periodicities in holographic CFTs ⋮ Hidden symmetries for transparent de Sitter space ⋮ Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes ⋮ Nonlinear Supersymmetry as a Hidden Symmetry ⋮ Hidden symmetry and (super)conformal mechanics in a monopole background ⋮ On the classical and quantum dynamics of a class of nonpolynomial oscillators

Uses Software

• FORM

Cites Work

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