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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| Format: | Article |
| Language: | English |
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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 |
| Summary: | 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. |
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| ISSN: | 1210-2709 1805-2363 |