Lectures on Classical Integrable Systems and Gauge Field Theories
In these lectures we consider Hitchin integrable systems and their relations with the self-duality equations and twisted super-symmetric Yang-Mills theory in four dimension. We define the Symplectic Hecke correspondence between different integrable systems. As an example we consider Elliptic Caloger...
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CTU Central Library
2008-01-01
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| Series: | Acta Polytechnica |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/951 |
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doaj-f1ac7eefa3614114abc6f4a9890df9d82020-11-24T22:14:47ZengCTU Central LibraryActa Polytechnica1210-27091805-23632008-01-01482953Lectures on Classical Integrable Systems and Gauge Field TheoriesM. OlshanetskyIn these lectures we consider Hitchin integrable systems and their relations with the self-duality equations and twisted super-symmetric Yang-Mills theory in four dimension. We define the Symplectic Hecke correspondence between different integrable systems. As an example we consider Elliptic Calogero-Moser system and integrable Euler-Arnold top on coadjoint orbits of the group GL(N, C) and explain the Symplectic Hecke correspondence for these systems. https://ojs.cvut.cz/ojs/index.php/ap/article/view/951Integrable systemsgauge theoriesmonopoles |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Olshanetsky |
| spellingShingle |
M. Olshanetsky Lectures on Classical Integrable Systems and Gauge Field Theories Acta Polytechnica Integrable systems gauge theories monopoles |
| author_facet |
M. Olshanetsky |
| author_sort |
M. Olshanetsky |
| title |
Lectures on Classical Integrable Systems and Gauge Field Theories |
| title_short |
Lectures on Classical Integrable Systems and Gauge Field Theories |
| title_full |
Lectures on Classical Integrable Systems and Gauge Field Theories |
| title_fullStr |
Lectures on Classical Integrable Systems and Gauge Field Theories |
| title_full_unstemmed |
Lectures on Classical Integrable Systems and Gauge Field Theories |
| title_sort |
lectures on classical integrable systems and gauge field theories |
| publisher |
CTU Central Library |
| series |
Acta Polytechnica |
| issn |
1210-2709 1805-2363 |
| publishDate |
2008-01-01 |
| description |
In these lectures we consider Hitchin integrable systems and their relations with the self-duality equations and twisted super-symmetric Yang-Mills theory in four dimension. We define the Symplectic Hecke correspondence between different integrable systems. As an example we consider Elliptic Calogero-Moser system and integrable Euler-Arnold top on coadjoint orbits of the group GL(N, C) and explain the Symplectic Hecke correspondence for these systems. |
| topic |
Integrable systems gauge theories monopoles |
| url |
https://ojs.cvut.cz/ojs/index.php/ap/article/view/951 |
| work_keys_str_mv |
AT molshanetsky lecturesonclassicalintegrablesystemsandgaugefieldtheories |
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