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

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

1996-10-23

arxiv.org/abs/hep-th/9610178v1

J.Phys. A29 (1996) L107

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Plain Tex.

Scientific paper

10.1088/0305-4470/29/5/005

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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