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

preprint1996arXivOpen access

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

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