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Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras

Vladimir S. Gerdjikov·Georgi G. Grahovski
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Abstract

The construction of a family of real Hamiltonian forms (RHF) for the special class of affine 1+1-dimensional Toda field theories (ATFT) is reported. Thus the method, proposed in [1] for systems with finite number of degrees of freedom is generalized to infinite-dimensional Hamiltonian systems. The construction method is illustrated on the explicit nontrivial example of RHF of ATFT related to the exceptional algebras E_6 and E_7. The involutions of the local integrals of motion are proved by means of the classical R-matrix approach.

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Vladimir S. Gerdjikov, Georgi G. Grahovski. 2006-02-17. Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras. https://doi.org/10.3842/sigma.2006.022

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