N=2 superconformal Newton-Hooke algebra and many-body mechanics

Abstract

A representation of the conformal Newton-Hooke algebra on a phase space of n particles in arbitrary dimension which interact with one another via a generic conformal potential and experience a universal cosmological repulsion or attraction is constructed. The minimal N=2 superconformal extension of the Newton-Hooke algebra and its dynamical realization in many-body mechanics are studied.

v3: Discussion in sect. 2.1 extended, references added. The version to appear in PLB

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Cited by in corpus (14)

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• Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group
• Dynamical realizations of N=1 l-conformal Galilei superalgebra
• The Non-Relativistic Superparticle in a Curved Background
• N = 2 Galilean superconformal algebras with central extension
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• N=2 supersymmetric Pais-Uhlenbeck oscillator
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• Superfield approach to higher derivative N=1 superconformal mechanics
• Perfect fluid dynamics with conformal Newton-Hooke symmetries
• Conformal symmetry in damped Pais-Uhlenbeck oscillator
• N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator
• New dynamical realizations of the Lifshitz group