The Conserved Charges and Integrability of the Conformal Affine Toda Models

Details The Conserved Charges and Integrability of the Conformal Affine Toda Models The Conserved Charges and Integrability of the Conformal Affine Toda Models

1993-08-18

arxiv.org/abs/hep-th/9308086v3

Mod.Phys.Lett. A9 (1994) 2783-2802

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, (one appendix and one reference added, small changes in introduction and conclusions, eqs.(5.14) and (5.19) i

Scientific paper

10.1142/S021773239400263X

We construct infinite sets of local conserved charges for the conformal affine Toda model. The technique involves the abelianization of the two-dimensional gauge potentials satisfying the zero-curvature form of the equations of motion. We find two infinite sets of chiral charges and apart from two lowest spin charges all the remaining ones do not possess chiral densities. Charges of different chiralities Poisson commute among themselves. We discuss the algebraic properties of these charges and use the fundamental Poisson bracket relation to show that the charges conserved in time are in involution. Connections to other Toda models are established by taking particular limits.

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