Lectures on Classical Integrable Systems and Gauge Field Theories
DOI:
https://doi.org/10.14311/951Keywords:
Integrable systems, gauge theories, monopolesAbstract
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.Downloads
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Published
2008-01-02
How to Cite
Olshanetsky, M. (2008). Lectures on Classical Integrable Systems and Gauge Field Theories. Acta Polytechnica, 48(2). https://doi.org/10.14311/951
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