Dualities in integrable systems: geometrical aspects
Abstract
Description
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.
Latex, 29 pages, Contribution to the Proceedings of NATO Advanced Research Workshop, Kiev, September 2000
Latex, 29 pages, Contribution to the Proceedings of NATO Advanced Research Workshop, Kiev, September 2000