Lectures on Classical Integrable Systems and Gauge Field Theories

Authors

  • M. Olshanetsky

DOI:

https://doi.org/10.14311/951

Keywords:

Integrable systems, gauge theories, monopoles

Abstract

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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Author Biography

M. Olshanetsky

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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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Section

Articles