W-algebras for non-abelian Toda systems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, AMS fonts, 40 pages; v3: some comments and refs added

Scientific paper

10.1016/S0393-0440(03)00054-8

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.

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