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5D Runge-Lenz Vector from Symplectic Reduction of 8D Harmonic Oscillator
We derive the Runge-Lenz vector of the five-dimensional Kepler problem from the eight-dimensional harmonic oscillator through symplectic reduction. By rewriting the moment maps of the harmonic oscillator in terms of five-dimensional gamma matrices and the $\mathfrak{su}(2)$ generators associated wit
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