English

Exchange Relations for the q-Vertex Operators of $U_q(\widehat{sl2})$

High Energy Physics - Theory 2017-02-01 v1

Abstract

We consider the q-deformed Knizhnik-Zamolodchikov equation for the two point function of q-deformed vertex operators of Uq(sl2)U_q(sl_2^). We give explicitly the fundamental solutions, the connection matrices and the exchange relations for the q-vertex operators of spin 1/2 and j12Z0j \in {1\over 2}{\bf Z}_{\geq 0}. Consequently, we confirm that the connection matrices are equivalent to the elliptic Boltzman weights of IRF type obtained by the fusion procedure from ABF models.

Keywords

Cite

@article{arxiv.hep-th/9211087,
  title  = {Exchange Relations for the q-Vertex Operators of $U_q(\widehat{sl2})$},
  author = {Hidetoshi Awata},
  journal= {arXiv preprint arXiv:hep-th/9211087},
  year   = {2017}
}

Comments

20pp