Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-02-26
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, Lectures given at Advanced Summer School on Integrable Systems and Quantum Symmetries (Prague, June, 2007)
Scientific paper
10.1134/S1063779609010067
In these lectures I consider the Hitchin integrable systems and their relations with the self-duality equations and the twisted super-symmetric Yang-Mills theory in four dimension follow Hitchin and Kapustin-Witten. I define the Symplectic Hecke correspondence between different integrable systems. As an example I 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.
Olshanetsky M.
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