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arXiv · hep-th/9312019

Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus

H. -T. Sato
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Abstract

We find a quantum group structure in two-dimensional motion of nonrelativistic electrons in a uniform magnetic field on a torus. The representation basis of the quantum algebra is composed of the quantum Hall wavefunctions proposed by Haldane-Rezayi at the Landau-level filling factor $ν=1/m$ ($m$ odd). It is also shown that the quantum group symmetry is relevant to the degenerate Landau states and the deformation parameter of the quantum algebra is given by the filling factor.

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H. -T. Sato. 1993-12-03. Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus. https://doi.org/10.1142/s0217732394001672

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