English

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

High Energy Physics - Theory 2009-10-30 v1 Condensed Matter Quantum Algebra q-alg

Abstract

We discuss ww_\infty and slq(2)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 slq(2)sl_q (2).

Keywords

Cite

@article{arxiv.hep-th/9610178,
  title  = {Quantum Group Symmetry in Multiple Chern-Simons Theory on a Torus},
  author = {Choon-Lin Ho},
  journal= {arXiv preprint arXiv:hep-th/9610178},
  year   = {2009}
}

Comments

12 pages. Plain Tex.