W-algebras for non-abelian Toda systems

被引：2
|
作者：
Nirov, KS
Razumov, AV
机构：
[1] Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia
[2] Inst High Energy Phys, Protvino 142280, Moscow Region, Russia
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2003年 / 48卷 / 04期
关键词：
W-algebra; non-abelian Toda systems; WZNW model; characteristic integrals; Drinfeld-Sokolov gauge;
D O I：
10.1016/S0393-0440(03)00054-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct the classical W-algebras for some non-abelian Toda systems associated with the Lie groups GL(2n)(R) and Sp(n)(R). We start with the set of characteristic integrals and find the Poisson brackets for the corresponding Hamiltonian counterparts. The convenient block matrix representation for the Toda equations is used. The infinitesimal symmetry transformations generated by the elements of the W-algebras are presented. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：505 / 545
页数：41
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