Taniguchi Lecture on Principal Bundles on Elliptic Fibrations

Details Taniguchi Lecture on Principal Bundles on Elliptic Fibrations Taniguchi Lecture on Principal Bundles on Elliptic Fibrations

1998-02-12

arxiv.org/abs/hep-th/9802094v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex

Scientific paper

In this talk we discuss the description of the moduli space of principal G-bundles on an elliptic fibration X-->S in terms of cameral covers and their distinguished Prym varieties. We emphasize the close relationship between this problem and the integrability of Hitchin's system and its generalizations. The discussion roughly parallels that of [D2], but additional examples are included and some important steps of the argument are illustrated. Some of the applications to heterotic/F-theory duality were described in the accompanying ICMP talk (hep-th/9802093).

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