Off-shell Bethe vectors and Drinfeld currents

被引：26

作者：

Khoroshkin, S.

Pakuliak, S. ^{[1
]}

Tarasov, V.

机构：

[1] Joint Inst Nucl Res, Theoret Phys Lab, Dubna 141980, Moscow Reg, Russia

[2] Inst Theoret & Expt Phys, Moscow 117259, Russia

[3] VA Steklov Math Inst, St Petersburg Branch, St Petersburg 191011, Russia

[4] IUPUI, Dept Math Sci, Indianapolis, IN 46202 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

quantum integrable models; quantum affine algebras;

D O I：

10.1016/j.geomphys.2007.02.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we compare two constructions of weight functions (off-shell Bethe vectors) for the quantum affine algebra U-q(g(N)(i)). The first construction comes from the algebraic nested Bethe ansatz. The second one is defined in terms of certain projections of products of Drinfeld currents. We show that the two constructions give the same result in tensor products of vector representations of U-q(g(N)(i)). (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：1713 / 1732

页数：20

共 11 条

[1] Weyl group extension of quantized current algebras [J].