Dualities in integrable systems: geometrical aspects
High Energy Physics - Theory
2007-05-23 v1
Abstract
We discuss geometrical aspects of different dualities in the integrable systems of the Hitchin type and its various generalizations. It is shown that T duality known in the string theory context is related to the separation of variables procedure in dynamical system. We argue that there are analogues of S duality as well as mirror symmetry in the many-body systems of Hitchin type. The different approaches to the double elliptic systems are unified using the geometry behind the Mukai-Odesskii algebra.
Cite
@article{arxiv.hep-th/0103004,
title = {Dualities in integrable systems: geometrical aspects},
author = {A. Gorsky and V. Rubtsov},
journal= {arXiv preprint arXiv:hep-th/0103004},
year = {2007}
}
Comments
Latex, 29 pages, Contribution to the Proceedings of NATO Advanced Research Workshop, Kiev, September 2000