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:
| Дата: | 2006 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-146444 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1464442019-02-10T01:24:23Z Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras Gerdjikov, V.S. Grahovski, G.G. 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. 2006 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Gerdjikov, V.S. Grahovski, G.G. |
| spellingShingle |
Gerdjikov, V.S. Grahovski, G.G. Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Gerdjikov, V.S. Grahovski, G.G. |
| author_sort |
Gerdjikov, V.S. |
| title |
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_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_sort |
real hamiltonian forms of affine toda models related to exceptional lie algebras |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146444 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT gerdjikovvs realhamiltonianformsofaffinetodamodelsrelatedtoexceptionalliealgebras AT grahovskigg realhamiltonianformsofaffinetodamodelsrelatedtoexceptionalliealgebras |
| first_indexed |
2023-05-20T17:24:23Z |
| last_indexed |
2023-05-20T17:24:23Z |
| _version_ |
1796153219043295232 |