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On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories | | Vladimir S. Gerdjikov
; Georgi G. Grahovski
; | | Date: |
20 Feb 2006 | | Journal: | J. Nonlin. Math. Phys, 12 (2005), suppl. 2, 153 - 168 | | Subject: | Exactly Solvable and Integrable Systems | | 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. | | Source: | arXiv, nlin/0602042 | | Services: | Forum | Review | PDF | Favorites | |
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