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

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dc.creatorGerdjikov, Vladimir S.
dc.creatorGrahovski, Georgi G.
dc.date2006-02-17
dc.date.accessioned2026-07-07T09:34:39Z
dc.date.available2026-07-07T09:34:39Z
dc.descriptionThe 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.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0602038
dc.identifierhttp://arxiv.org/abs/nlin/0602038
dc.identifierSIGMA 2 (2006), 022, 11 pages
dc.identifierdoi:10.3842/SIGMA.2006.022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159566
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleReal Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
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