Geometric Transformations and NCCS Theory in the Lowest Landau Level

Details Geometric Transformations and NCCS Theory in the Lowest Landau Level Geometric Transformations and NCCS Theory in the Lowest Landau Level

2002-05-23

arxiv.org/abs/hep-th/0205237v1

Int.J.Mod.Phys. B16 (2002) 3725-3736

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages

Scientific paper

10.1142/S0217979202014796

Chern-Simons type gauge field is generated by the means of the singular area preserving transformations in the lowest Landau level of electrons forming fractional quantum Hall state. Dynamics is governed by the system of constraints which correspond to the Gauss law in the non-commutative Chern-Simons gauge theory and to the lowest Landau level condition in the picture of composite fermions. Physically reasonable solution to this constraints corresponds to the Laughlin state. It is argued that the model leads to the non-commutative Chern-Simons theory of the QHE and composite fermions.

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