On the Holomorphic Gauge Quantization of the Chern-Simons Theory and Laughlin Wave Functions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, LaTex

Scientific paper

Chern-Simons-Matter Lagrangian with noncompact gauge symmetry group is considered. The theory is quantized in the holomorphic gauge with a complex gauge fixing condition. The model is discussed, in which the the gauge and matter fields are accompanied by the complex conjugate counterparts. It is argued, that such a theory represents an adequate framework for the description of the quantum Hall states.

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