Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
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 c...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146444 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862634119543914496 |
|---|---|
| author | Gerdjikov, V.S. Grahovski, G.G. |
| author_facet | Gerdjikov, V.S. Grahovski, G.G. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-30T15:31:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146444 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T15:31:00Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gerdjikov, V.S. Grahovski, G.G. 2019-02-09T17:15:43Z 2019-02-09T17:15:43Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146444 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras Article published earlier |
| spellingShingle | Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras Gerdjikov, V.S. Grahovski, G.G. |
| title | Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras |
| title_full | Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras |
| title_fullStr | Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras |
| title_full_unstemmed | Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras |
| title_short | Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras |
| title_sort | real hamiltonian forms of affine toda models related to exceptional lie algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146444 |
| work_keys_str_mv | AT gerdjikovvs realhamiltonianformsofaffinetodamodelsrelatedtoexceptionalliealgebras AT grahovskigg realhamiltonianformsofaffinetodamodelsrelatedtoexceptionalliealgebras |