Four-dimensional Hall mechanics as a particle on $\DC P^3$

Details Four-dimensional Hall mechanics as a particle on $\DC P^3$ Four-dimensional Hall mechanics as a particle on $\DC P^3$

2003-06-27

arxiv.org/abs/hep-th/0306277v1

Phys.Lett. B574 (2003) 121-128

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX file, no figures, PACS numbers: 03.65-w, 11.30.Pb

Scientific paper

In order to establish an explicit connection between four-dimensional Hall effect on $S^4$ and six-dimensional Hall effect on $\DC P^3$, we perform the Hamiltonian reduction of a particle moving on $\DC P^3$ in a constant magnetic field to the four-dimensional Hall mechanics (i.e. a particle on $S^4$ in a SU(2) instanton field). This reduction corresponds to fixing the isospin of the latter system.

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