Integrability, Jacobians and Calabi-Yau Threefolds

Abstract

The integrable systems associated with Seiberg-Witten geometry are considered both from the Hitchin-Donagi-Witten gauge model and in terms of intermediate Jacobians of Calabi-Yau threefolds. Dual pairs and enhancement of gauge symmetries are discussed on the basis of a map from the Donagi-Witten ``moduli'' into the moduli of complex structures of the Calabi-Yau threefold.

8 pages, Latex, based on a talk given by C. Gomez at the "VIII Regional Meeting on Mathematical Physics", Oct. 1995, Iran