Laughlin states on the Poincaré half-plane and their quantum group symmetry

M Alimohammadi, H Mohseni Sadjadi
1996 Journal of Physics A: Mathematical and General  
We find the Laughlin states of the electrons on the Poincare half-plane in different representations. In each case we show that there exist a quantum group $su_q(2)$ symmetry such that the Laughlin states are a representation of it. We calculate the corresponding filling factor by using the plasma analogy of the FQHE.
doi:10.1088/0305-4470/29/17/025 fatcat:7xijgttilzal3cm32nvzofla5u