THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH $U_q(A_2^{(2)})$ FOR |q| = 1

DOI10.1142/S0217751X0301214XzbMath1065.81077arXivnlin/0105043MaRDI QIDQ4483543

Takeo Kojima

Publication date: 14 October 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0105043

zbMATH Keywords

quantum groupcorrelation functionsIntegrable systemsmultiple gamma functionstwisted algebrasqKZ equations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Gamma, beta and polygamma functions (33B15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (1)

The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2))

Cites Work

• Twisted vertex representations of quantum affine algebras
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• THE 19-VERTEX MODEL AT CRITICAL REGIME |q|=1
• Vertex operators for twisted quantum affine algebras
• Free field approach to the dilute AL models
• Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime

This page was built for publication: THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH $U_q(A_2^{(2)})$ FOR |q| = 1