English

Free Boson Representation of $U_{q}(\hat{sl_{2}})$

High Energy Physics - Theory 2008-02-03 v2

Abstract

A representation of the quantum affine algebra Uq(sl2^)U_{q}(\hat{sl_{2}}) of an arbitrary level kk is realized in terms of three boson fields, whose q1q \rightarrow 1 limit becomes the Wakimoto representation. An analogue of the screening current is also obtained. It commutes with the action of Uq(sl2^)U_{q}(\hat{sl_{2}}) modulo total difference of some fields.

Keywords

Cite

@article{arxiv.hep-th/9209014,
  title  = {Free Boson Representation of $U_{q}(\hat{sl_{2}})$},
  author = {J. Shiraishi},
  journal= {arXiv preprint arXiv:hep-th/9209014},
  year   = {2008}
}

Comments

8 pages, latex file, UT-617 (revised version)