Gauge theories, Simple Groups and Integrable Systems

Details Gauge theories, Simple Groups and Integrable Systems Gauge theories, Simple Groups and Integrable Systems

2009-11-27

arxiv.org/abs/0911.5257v1

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Contribution to special volume of Int.J.Mod.Phys.A dedicated to 80-th birthday of Lev Borisovich Okun

Scientific paper

In this review we discuss interrelations between classical Hitchin integrable systems, monodromy preserving equations and topological field theories coming from N=4 supersymmetric Yang-Mills theories developed by Gukov, Kapustin and Witten. In particular, we define systems related to bundles with nontrivial characteristic classes and discuss relations of the characteristic classes with monopole configurations in the Yang-Mills theory.

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