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arXiv · hep-th/9610178

Quantum Group Symmetry in Multiple Chern-Simons Theory on a Torus

Choon-Lin Ho
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Abstract

We discuss $w_\infty$ and $sl_q(2)$ symmetries in multiple Chern-Simons theory on a torus. It is shown that these algebraic structures arise from the dynamics of the non-integrable phases of the Chern-Simons fields. The generators of these algebras are constructed from the Wilson line operators corresponding to these phases. The vacuum states form the basis of cyclic representation of $sl_q (2)$.

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Choon-Lin Ho. 1996-10-23. Quantum Group Symmetry in Multiple Chern-Simons Theory on a Torus. https://doi.org/10.1088/0305-4470%2F29%2F5%2F005

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