Universal integrability objects

被引：23

作者：

Boos, H. ^{[1
]}

Goehmann, F. ^{[1
]}

Kluemper, A. ^{[1
]}

Nirov, Kh. S. ^{[1
,2
]}

Razumov, A. V. ^{[3
,4
]}

机构：

[1] Berg Univ Wuppertal, Fachbereich Phys C, Wuppertal, Germany

[2] RAS, Inst Nucl Res, Moscow 117901, Russia

[3] Inst High Energy Phys, Protvino, Moscow Oblast, Russia

[4] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2013年 / 174卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

integrable system; quantum group; representation; functional relation; CONFORMAL FIELD-THEORY; QUANTIZED AFFINE ALGEBRAS; R-MATRIX; BAXTER EQUATION; SPIN CHAINS; Q-OPERATOR; WEYL GROUP; ANALOG; REPRESENTATIONS; PARAMETER;

D O I：

10.1007/s11232-013-0002-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the main points of the quantum group approach in the theory of quantum integrable systems and illustrate them for the case of the quantum group U-q(L(sl (2) )). We give a complete set of the functional relations correcting inexactitudes in the previous considerations. We especially attend to the interrelation of the representations used to construct the universal transfer operators and Q-operators.

引用

页码：21 / 39

页数：19

共 46 条

[1] Quantum group representations and the Baxter equation [J].

Antonov, A ;

Feigin, B .

PHYSICS LETTERS B, 1997, 392 (1-2) :115-122

[2]

Antonov A., 1996, ARXIVHEPTH9603105V2

[3]

Antonov A. V., 1996, ARXIVHEPTH9607031V1

[4] Quantum Volterra model and the universal R-matrix [J].

Antonov, AV .

THEORETICAL AND MATHEMATICAL PHYSICS, 1997, 113 (03) :1520-1529

[5]

Bazhanov V. V., 2001, ARXIVHEPTH0105177V3

[6]

Bazhanov V. V., 1998, ARXIVHEPTH9805008V2

[7]

Bazhanov V. V., 1994, ARXIVHEPTH9412229V1

[8]

Bazhanov V. V., 2008, ARXIV08054274V3HEPTH

[9]

Bazhanov V. V., 2010, ARXIV10053261V3HEPTH

[10]

Bazhanov V. V., 1996, ARXIVHEPTH9604044V2

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