Hidden symmetries and nonlinear (super)algebras
Luis Inzunza
TL;DR
This paper investigates hidden symmetries in physical systems, focusing on higher order integrals of motion that form nonlinear (super)algebras, within classical and quantum frameworks related to conformal invariance.
Contribution
It analyzes the structure of hidden symmetries and nonlinear (super)algebras in systems exhibiting conformal and superconformal invariance, both classically and quantum mechanically.
Findings
Identification of higher order integrals of motion
Construction of nonlinear (super)algebras in relevant systems
Insights into symmetry structures in conformal systems
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.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models