QUANTIZED KNIZHNIK-ZAMOLODCHIKOV EQUATIONS, QUANTUM YANG-BAXTER EQUATION, AND DIFFERENCE-EQUATIONS FOR Q-HYPERGEOMETRIC FUNCTIONS

Authors
VARCHENKO A
Citation
A. Varchenko, QUANTIZED KNIZHNIK-ZAMOLODCHIKOV EQUATIONS, QUANTUM YANG-BAXTER EQUATION, AND DIFFERENCE-EQUATIONS FOR Q-HYPERGEOMETRIC FUNCTIONS, Communications in Mathematical Physics, 162(3), 1994, pp. 499-528
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
162
Issue
3
Year of publication
1994
Pages
499 - 528
Database
ISI
SICI code
0010-3616(1994)162:3<499:QKEQYE>2.0.ZU;2-X
Abstract
The Sl2 quantized Knizhnik-Zamolodchikov equations are solved in q-hyp ergeometric functions. New difference equations are derived for genera l q-hypergeometric functions. The equations are given in terms of quan tum Yang-Baxter matrices and have the form similar to quantum Knizhnik -Zamolodchikov equations for quantum affine algebras introduced by Fre nkel and Reshetikhin.