Publication: THE CONSERVED CHARGES AND INTEGRABILITY OF THE CONFORMAL AFFINE TODA MODELS
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Date
1994-09-28
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Coadvisor
Graduate program
Undergraduate course
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Publisher
World Scientific Publ Co Pte Ltd
Type
Article
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Abstract
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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Language
English
Citation
Modern Physics Letters A. Singapore: World Scientific Publ Co Pte Ltd, v. 9, n. 30, p. 2783-2801, 1994.
