On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)

Details On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2) On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)

2005-11-24

arxiv.org/abs/hep-th/0511245v1

J.Math.Phys.47:112902,2006

Physics

High Energy Physics

High Energy Physics - Theory

36 pages

Scientific paper

10.1063/1.2358391

The reduced Hamiltonian system on T*SU(3)/SU(2)) is derived from a Riemannian geodesic motion on the SU(3) group manifold parameterised by the generalised Euler angles and endowed with a bi-invariant metric. Our calculations show that the metric defined by the derived reduced Hamiltonian flow on the orbit space SU(3)/SU(2)=S^5 is not isometric or even geodesically equivalent to the standard Riemannian metric on the five-sphere S^5 embedded into R^6.

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