De Martino, A. & Musto, R (1995). KnizhnikZamolodchikov equation and extended symmetry for stable Hall states. Modern Physics Letters A (mpla), 2051, doi: 10.1142/S0217732395002209

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Abstract
We describe a $n$ component abelian Hall fluid as a system of {\it composite bosons} moving in an average null field given by the external magnetic field and by the statistical flux tubes located at the position of the particles. The collective vacuum state, in which the bosons condense, is characterized by a KnizhnikZamolodchikov differential equation relative to a $\hat {U}(1)^n$ WessZumino model. In the case of states belonging to Jain's sequences the KnizhnikZamolodchikov equation naturally leads to the presence of an $\hat{U}(1)\ot \hat{SU}(n)$ extended algebra. Only the $\hat{U}(1)$ mode is charged while the $\hat{SU}(n)$ modes are neutral, in agreement with recent results obtained in the study of the edge states.
Item Type:  Article 

Additional Information:  11 pages, Latex 
Subjects:  Q Science > QC Physics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
Related URLs:  
URI:  http://openaccess.city.ac.uk/id/eprint/1681 
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