Duality in integrable systems and gauge theories

Authors
Fock, V Gorsky, A Nekrasov, N Rubtsov, V
Citation
V. Fock et al., Duality in integrable systems and gauge theories, J HIGH EN P, 2000(7), 2000, pp. NIL_680-NIL_719
Citations number
79
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2000
Issue
7
Year of publication
2000
Pages
NIL_680 - NIL_719
Database
ISI
SICI code
1029-8479(200007)2000:7<NIL_680:DIISAG>2.0.ZU;2-U
Abstract
We discuss various dualities, relating integrable systems and show that the se dualities are explained in the framework of hamiltonian and Poisson redu ctions. The dualities we study shed some light on the known integrable syst ems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.