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arXiv · hep-th/9610177

w_{\infty} and sl_q(2) Algebras in the Landau Problem and Chern-Simons Theory on a Torus

Choon-Lin Ho
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Abstract

We discuss $w_\infty$ and $sl_q(2)$ symmetries in Chern-Simons theory and Landau problem on a torus. It is shown that when the coefficient of the Chern-Simons term, or when the total flux passing through the torus is a rational number, there exist in general two $w_\infty$ and two $sl_q(2)$ algebras, instead of one set each discussed in the literature. The general wavefunctions for the Landau problem with rational total flux is also presented.

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Choon-Lin Ho. 1996-10-23. w_{\infty} and sl_q(2) Algebras in the Landau Problem and Chern-Simons Theory on a Torus. https://doi.org/10.1142/s0217732395002799

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