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

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.

arXiv comment19 pages, LATEX, amsfonts, amssymb; v.3 with a few corrections

References in corpus (4)

• Lattice Wess-Zumino-Witten Model and Quantum Groups
• Operator realization of the SU(2) WZNW model
• Quantisation of the SU(N) WZW Model at Level $k$
• A Finite Dimensional Gauge Problem in the WZNW Model

Cited by in corpus (2)

• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• Chiral zero modes of the SU(n) Wess-Zumino-Novikov-Witten model