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

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

2000-07-24

arxiv.org/abs/hep-th/0007187v3

Lett.Math.Phys. 54 (2000) 137-155

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LATEX, amsfonts, amssymb; v.3 with a few corrections

Scientific paper

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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