Abstract
We propose the conformal-invariant model for the description of the edge excitations (EE) in the FQH states using field-theoretical construction with current-current interactions. We discuss the classification of the topological orders (TO) of a given model. Using Chern-Simons ~ Wess-Zumino equivalence, we determine the possible types of the excitations in the FQHE — namely, we calculate their charges and statistics.
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