Laughlin states on the Poincare half-plane and its quantum group symmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages,Latex

Scientific paper

10.1088/0305-4470/29/17/025

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.

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