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Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
Інший ID:
2000 Mathematics Subject Classification: 37K15; 17B70; 37K10; 17B80
Посилання:
Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras / V.S. Gerdjikov, G.G. Grahovski // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 23 назв. — англ.
Підтримка:
One of us (GGG) thanks the organizing committee of the Sixth International Conference “Symmetry in Nonlinear Mathematical Physics” for the scholarship and for the warm hospitality in Kyiv. The present paper is the written version of the talk delivered by GGG at this conference. The work of GGG is supported by the Bulgarian National Scientific Foundation Young Scientists Scholarship for the project “Solitons, Dif ferential Geometry and Biophysical Models”. We also acknowledge support by the National Science Foundation of Bulgaria, contract No. F-1410. We also thank an anonymous referee for careful reading of the manuscript and for useful suggestions.
Дата:
2006
Переглядів:
493
Завантажень:
266
Анотація:
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 E₆ and E₇. The involutions of the local integrals of motion are proved by means of the classical R-matrix approach.
