QUANTUM KNIZHNIK-ZAMOLODCHIKOV EQUATIONS AND AFFINE ROOT SYSTEMS

被引：70

作者：

CHEREDNIK, I

机构：

[1] UNIV N CAROLINA, DEPT MATH, CHAPEL HILL, NC 27599 USA

[2] UNIV TEXAS, DEPT MATH, AUSTIN, TX 78712 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 150卷 / 01期

关键词：

D O I：

10.1007/BF02096568

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum (difference) Knizhnik-Zamolodchikov equations [S1,FR] are generalized for the R-matrices from [Ch1] with the arguments in arbitrary root systems (and their formal counterparts). In particular, QKZ equations with certain boundary conditions are introducted. The self-consistency of the equations from [FR] and the cross-derivative integrability conditions for the r-matrix KZ equations from [Ch2] are obtained as corollaries. A difference counterpart of the quantum many-body problem connected with Macdonald's operators is defined as an application.

引用

页码：109 / 136

页数：28

共 27 条

[1]

AOMOTO K, 1992, DUKE MATH J, V65, P7

[2]

BOURBAKI N, 1969, GROUPES ALGEBRES LIE, pCH 4

[3] SOLUTION OF ONE-DIMENSIONAL N-BODY PROBLEMS WITH QUADRATIC AND/OR INVERSELY QUADRATIC PAIR POTENTIALS [J].