Kac-Moody construction of Toda type field theories
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Abstract
Using the coadjoint orbit method we derive a geometric WZWN action based on the extended two-loop Kac-Moody algebra. We show that under a hamiltonian reduction procedure, which respects conformal invariance, we obtain a hierarchy of Toda type field theories, which contain as submodels the Toda molecule and periodic Toda lattice theories. We also discuss the classical r-matrix and integrability properties.
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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 254, n. 3-4, p. 372-380, 1991.
