Exotic galilean symmetry, non-commutativity & the Hall effect

P. Horvathy

Exotic galilean symmetry, non-commutativity & the Hall effect

High Energy Physics - Theory 2007-05-23 v2

Authors: P. Horvathy

Abstract

The ``exotic'' particle model associated with the two-parameter central extension of the planar Galilei group can be used to derive the ground states of the Fractional Quantum Hall Effect. Similar equations arise for a semiclassical Bloch electron. Exotic Galilean symmetry is also be shared by Chern-Simons field theory of the Moyal type.

Keywords

exotic Galilean symmetry fractional quantum Hall effect Bloch electron Chern-Simons theory non-commutativity central extension

Cite

@article{arxiv.hep-th/0509038,
  title  = {Exotic galilean symmetry, non-commutativity & the Hall effect},
  author = {P. Horvathy},
  journal= {arXiv preprint arXiv:hep-th/0509038},
  year   = {2007}
}

Comments

Minor changes. Talk given at the XXIII. International Conference on Differential Geometric Methods in Theoretical Physics. Aug'05, Nankai Institute of Mathematics, Tianjin, China. Based on joint work with C. Duval, Z. Horvath, L. Martina, M. Plyushchay and P. Stichel

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