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On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories

Vladimir S. Gerdjikov·Georgi G. Grahovski
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Abstract

A family of real Hamiltonian forms (RHF) for the special class of affine 1+1 - dimensional Toda field theories is constructed. Thus the method, proposed in [Mikhailov;1981] for systems with finite number of degrees of freedom is generalized to infinite-dimensional Hamiltonian systems. We show that each of these RHF is related to a special Z_2-symmetry of the system of roots for the relevant Kac-Moody algebra. A number of explicit nontrivial examples of RHF of ATFT are presented.

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Vladimir S. Gerdjikov, Georgi G. Grahovski. 2006-02-20. On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories. https://arxiv.org/abs/nlin/0602042

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