Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups
We considered two types of string models: on the Riemmann space of string coordinates with null torsion and on the Riemman-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV associativi...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149042 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups / V.D. Gershun // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 30 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862532425406480384 |
|---|---|
| author | Gershun, V.D. |
| author_facet | Gershun, V.D. |
| citation_txt | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups / V.D. Gershun // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 30 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We considered two types of string models: on the Riemmann space of string coordinates with null torsion and on the Riemman-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV associativity equation to construct new integrable string equations of hydrodynamic type on the torsionless Riemmann space of chiral currents in 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 equations of hydrodynamic type on the Riemmann space of the chiral primitive invariant currents and on the chiral non-primitive Casimir operators as Hamiltonians in second case. We also used Pohlmeyer tensor nonlocal currents to construct new nonlocal string equation.
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| first_indexed | 2025-11-24T04:40:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149042 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T04:40:21Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gershun, V.D. 2019-02-19T13:14:11Z 2019-02-19T13:14:11Z 2008 Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups / V.D. Gershun // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 30 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T20; 81T30; 81T40; 37J35; 53Z05; 22E70 https://nasplib.isofts.kiev.ua/handle/123456789/149042 We considered two types of string models: on the Riemmann space of string coordinates with null torsion and on the Riemman-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV associativity equation to construct new integrable string equations of hydrodynamic type on the torsionless Riemmann space of chiral currents in 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 equations of hydrodynamic type on the Riemmann space of the chiral primitive invariant currents and on the chiral non-primitive Casimir operators as Hamiltonians in second case. We also used Pohlmeyer tensor nonlocal currents to construct new nonlocal string equation. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). The author would like to thank J.A. de Azcarraga for the stimulating discussion about nonprimitive invariant tensors on simple Lie algebras. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups Article published earlier |
| spellingShingle | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups Gershun, V.D. |
| title | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups |
| title_full | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups |
| title_fullStr | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups |
| title_full_unstemmed | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups |
| title_short | Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups |
| title_sort | integrable string models in terms of chiral invariants of su(n), so(n), sp(n) groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149042 |
| work_keys_str_mv | AT gershunvd integrablestringmodelsintermsofchiralinvariantsofsunsonspngroups |