Conformal mechanics in Newton-Hooke spacetime

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.

Original language	English
Pages (from-to)	586-604
Number of pages	19
Journal	Nuclear Physics B
Volume	832
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2010.02.023
Publication status	Published - 21 Jun 2010

Keywords

Conformal Newton-Hooke algebra
Many-body mechanics
Supersymmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2010.02.023

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title = "Conformal mechanics in Newton-Hooke spacetime",

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.",

keywords = "Conformal Newton-Hooke algebra, Many-body mechanics, Supersymmetry",

author = "Anton Galajinsky",

year = "2010",

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AB - 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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KW - Many-body mechanics

KW - Supersymmetry

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