We discuss w∞ and slq(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 slq(2).
Journal of Physics A: Mathematical and General 29(5), pp.L107-L113