Hidden symmetries and nonlinear (super)algebras

Abstract

Hidden symmetries, described by higher order in momenta integrals of motion that generate nonlinear algebras, are explored at the level of classical and quantum mechanics in a variety of physical systems related to conformal and superconformal invariance.

arXiv commentPhD thesis, Univ. de Santiago de Chile, 2020 (supervisor: Mikhail Plyushchay); 161 pages; Based on arXiv:1707.07357, arXiv:1711.00616, arXiv:1809.08527, arXiv:1902.00538, arXiv:1912.11752 and arXiv:2002.04341

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