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arXiv · hep-th/0306277

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

Stefano Bellucci·Pierre-Yves Casteill·Armen Nersessian
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Abstract

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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Stefano Bellucci, Pierre-Yves Casteill, Armen Nersessian. 2003-06-27. Four-dimensional Hall mechanics as a particle on $\DC P^3$. https://doi.org/10.1016/j.physletb.2003.09.008

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