Gapless edge excitations in the fractional quantum Hall effect and conformal invariance

This paper proposes the conformal-invariant model for the description of the edge excitations (EE) in the FQH states using field-theoretical construction with current-current interactions. The authors discuss the classification of the topological orders (TO) of a given model. Using Chern-Simons ∼ Wess-Zumino equivalence, the authors determine the possible types of the excitations in the FQHE - namely, the author's calculate their charges and statistics