Lectures on Classical Integrable Systems and Gauge Field Theories

Acta Polytechnica

M. Olshanetsky¹ 

关键词: Integrable systems;    gauge theories;    monopoles;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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. 

【 授权许可】

Unknown