Regular basis and R-matrices for the su(n)_k Knizhnik-Zamolodchikov equation

2000/07/31 by L. K. Hadjiivanov, Ya. S. Stanev, I. T. Todorov
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #math.QA

paper · pdf

published as Lett.Math.Phys. 54 (2000) 137-155 · 19 pages, LATEX, amsfonts, amssymb; v.3 with a few corrections

arxiv created 2001/04/20 · arxiv updated 2009/11/30

Abstract

Dynamical R-matrix relations are derived for the group-valued chiral vertex operators in the SU(n) WZNW model from the KZ equation for a general four-point function including two step operators. They fit the exchange relations for the U_q(sl_n) covariant quantum matrix derived previously by solving the dynamical Yang-Baxter equation. As a byproduct, we extend the regular basis introduced earlier for SU(2) chiral fields to SU(n) step operators and display the corresponding triangular matrix representation of the braid group.

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