N=2 superconformal Newton-Hooke algebra and many-body mechanics
Anton Galajinsky
TL;DR
This paper constructs a representation of the N=2 superconformal Newton-Hooke algebra for many-body systems with conformal interactions and explores its implications for superconformal mechanics.
Contribution
It introduces a new superconformal extension of the Newton-Hooke algebra and demonstrates its realization in many-body mechanics with conformal potentials.
Findings
Representation of the superconformal Newton-Hooke algebra on n-particle phase space
Construction of the minimal N=2 superconformal extension
Application to many-body mechanics with conformal interactions
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.
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