Tetrahedron Equation and Quantum R Matrices for Modular Double of Uq (Dn+1(2)), Uq (A2n(2)) and Uq (Cn(1))

被引：0

作者：

Kuniba, Atsuo ^{[1
]}

Okado, Masato ^{[2
]}

Sergeev, Sergey ^{[3
]}

机构：

[1] Univ Tokyo, Inst Phys, Tokyo 1538902, Japan

[2] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

[3] Univ Canberra, Fac Educ Sci Technol Engn & Math, Canberra, ACT 2106, Australia

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2015年 / 105卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

Tetrahedron equation; q-oscillator algebra; Yang-Baxter equation; modular double; REPRESENTATIONS; MODELS;

D O I：

10.1007/s11005-015-0747-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a homomorphism from the quantum affine algebras , to the n-fold tensor product of the q-oscillator algebra . Their action commutes with the solutions of the Yang-Baxter equation obtained by reducing the solutions of the tetrahedron equation associated with the modular and the Fock representations of . In the former case, the commutativity is enhanced to the modular double of these quantum affine algebras.

引用

页码：447 / 461

页数：15

共 24 条

[1]

[Anonymous], 1986, P INT C MATH

[2]

[Anonymous], 1990, INFINITE DIMENSIONAL, DOI DOI 10.1017/CBO9780511626234

[3]

Baxter R. J., 2007, EXACTLY SOLVED MODEL

[4] Quantum geometry of three-dimensional lattices [J].