TL;DR
This paper explores conformal many-body mechanics in Newton-Hooke spacetime, extending it with N=2 superconformal symmetry, and introduces new models linked to Lie algebras, with analysis of symmetries, charges, and quantum transformations.
Contribution
It presents a novel N=2 superconformal extension and new classes of models related to Lie algebras within Newton-Hooke spacetime, along with symmetry and quantum analysis.
Findings
Explicit form of symmetries and Noether charges for the models
Construction of N=2 superconformal extension
Introduction of new models related to Lie algebras
Abstract
Conformal many-body mechanics in Newton-Hooke spacetime is studied within the framework of the Lagrangian formalism. Global symmetries and Noether charges are given in a form convenient for analyzing the flat space limit. N=2 superconformal extension is built and a new class on N=2 models related to simple Lie algebras is presented. A decoupling similarity transformation on N=2 quantum mechanics in Newton-Hooke spacetime is discussed.
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