Determinant Formula for the Solutions of the Quantum Knizhnik-Zamolodchikov Equation with |q|=1

Abstract

The fundamental matrix solution of the quantum Knizhnik-Zamolodchikov equation associated with quantum affine sl2 algebra is constructed for |q|=1. The formula for its determinant is given in terms of the double sine function.

arXiv comment17 pages, submitted to Contemporary Math. Proceedings for a North-Carolina meeting

References in corpus (2)

• QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
• Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras

Cited by in corpus (5)

• Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method
• The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with $U_q({\widehat{sl}}_n)$ for |q|=1
• The q-twisted cohomology and the q-hypergeometric function at |q|=1
• Determinat formula for solutions of the $U_q(s{l}_n)$ qKZ equation at $|q|=1$
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain