The fuzzy-sphere density-mode algebra is a genuine Lie algebra, but a direct density-mode realization of the 3d conformal algebra so(3,2) exists only for the two-electron system.
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3d Conformal Field Theories via Fuzzy Sphere Algebra
The fuzzy-sphere density-mode algebra is a genuine Lie algebra, but a direct density-mode realization of the 3d conformal algebra so(3,2) exists only for the two-electron system.