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