W-algebras for non-abelian Toda systems

[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.

[发布日期] 2003-12-01

[关键词] W-algebra;non-abelian Toda systems;WZNW model;characteristic integrals;Drinfeld-Sokolov gauge