Exotic galilean symmetry and the Hall effect

Details Exotic galilean symmetry and the Hall effect Exotic galilean symmetry and the Hall effect

2001-11-05

arxiv.org/abs/hep-th/0111033v1

Int.J.Mod.Phys. B16 (2002) 1971-1978

Physics

High Energy Physics

High Energy Physics - Theory

Talk given by P. A. Horvathy at the Joint APCTP- Nankai Symposium. Tianjin (China), Oct.2001. To appear in the Proceedings, to

Scientific paper

10.1142/S021797920201169X

The ``Laughlin'' picture of the Fractional Quantum Hall effect can be derived using the ``exotic'' model based on the two-fold centrally-extended planar Galilei group. When coupled to a planar magnetic field of critical strength determined by the extension parameters, the system becomes singular, and ``Faddeev-Jackiw'' reduction yields the ``Chern-Simons'' mechanics of Dunne, Jackiw, and Trugenberger. The reduced system moves according to the Hall law.

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