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

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

1996-10-23

arxiv.org/abs/hep-th/9610177v1

Mod.Phys.Lett.A10:2665,1995

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Plain Tex.

Scientific paper

10.1142/S0217732395002799

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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