Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
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| Creator |
Gerdjikov, V.S.
Grahovski, G.G. |
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| Description |
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.
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| Date |
2019-02-09T17:15:43Z
2019-02-09T17:15:43Z 2006 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 37K15; 17B70; 37K10; 17B80 http://dspace.nbuv.gov.ua/handle/123456789/146444 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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