Duality in Integrable Systems and Gauge Theories
High Energy Physics - Theory
2009-10-31 v4
Abstract
We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of Hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.
Cite
@article{arxiv.hep-th/9906235,
title = {Duality in Integrable Systems and Gauge Theories},
author = {V. Fock and A. Gorsky and N. Nekrasov and V. Rubtsov},
journal= {arXiv preprint arXiv:hep-th/9906235},
year = {2009}
}
Comments
harvmac 45 pp.; v4. minor corrections, to appear in JHEP