2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54590Chern-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.21 pages, LaTexHigh Energy Physics - Theorytext