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Gauge Fields and Interacting Particles

  • N. Nekrasov
Part of the CRM Series in Mathematical Physics book series (CRM)

Abstract

In this short survey we discuss integrable many-body systems and their relation to gauge theories. One aspect of such a relation is the Hamiltonian reduction, which produces the model out of a simple dynamical system. The phase spaces of original simple systems are constructed using the infinite-dimensional current algebras. We briefly discuss dualities, relating integrable systems. Finally, we outline the applications to the studies of moduli spaces of vacua of supersymmetric gauge theories in four and five dimensions and present derivations of some of these results using string theory.

Keywords

Gauge Theory Modulus Space Vector Multiplet Supersymmetric Gauge Theory Hamiltonian Reduction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media New York 2000

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  • N. Nekrasov

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