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arxiv: 0906.5509 · v3 · submitted 2009-06-30 · ✦ hep-th

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

classification ✦ hep-th
keywords algebranewton-hookeconformalmany-bodymechanicssuperconformalanotherarbitrary
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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.

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  1. Perfect fluid equations with nonrelativistic conformal supersymmetries

    hep-th 2026-05 unverdicted novelty 5.0

    Constructs supersymmetric perfect fluid equations for N=2 conformal Newton-Hooke and N=1 l-conformal Galilei superalgebras using Hamiltonian methods with anticommuting superpartner fields for density and velocity.