Integrable string models and sigma-models of hydrodynamic type in terms of invariant chiral currents
We considered two types of string models: on the Riemann space of string coordinates with null torsion and on the Riemann-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and the Dubrovin solutions of the WDVV asso...
Збережено в:
| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2007
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| Назва видання: | Вопросы атомной науки и техники |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/110898 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Integrable string models and sigma-models of hydrodynamic type in terms of invariant chiral currents / V.D. Gershun // Вопросы атомной науки и техники. — 2007. — № 3. — С.16-21. — Бібліогр.: 27 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We considered two types of string models: on the Riemann space of string coordinates with null torsion and on the Riemann-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and the Dubrovin solutions of the WDVV associativity equation to construct new integrable string models of hydrodynamic type on the torsion less Riemann space of chiral currents in the first case. We used the invariant local chiral currents of principal chiral models for SU(n), SO(n), SP(n) groups to construct new integrable string models of hydrodynamic type on the Riemann-Cartan space of invariant chiral currents and on the Casimir operators, considered as the Hamiltonians, in the second case. |
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