On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories

Details On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories

2006-02-20

arxiv.org/abs/nlin/0602042v1

J. Nonlin. Math. Phys, 12 (2005), suppl. 2, 153 - 168

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, Latex file, jnmp_side.cls file included, the ArXiv version is alredy official

Scientific paper

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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