English

Topological Representations of $U_q(sl_2)$ on the Torus and the Mapping Class Group

High Energy Physics - Theory 2008-11-26 v1 Quantum Algebra

Abstract

We compute the mapping class group action on cycles on the configuration space of the torus with one puncture, with coefficients in a local system arising in conformal field theory. This action commutes with the topological action of the quantum group Uq(sl2)U_q(sl_2), and is given in vertex form.

Keywords

Cite

@article{arxiv.hep-th/9307188,
  title  = {Topological Representations of $U_q(sl_2)$ on the Torus and the Mapping Class Group},
  author = {M. Crivelli and Giovanni Felder and C. Wieczerkowski},
  journal= {arXiv preprint arXiv:hep-th/9307188},
  year   = {2008}
}

Comments

15 pages