Hitchin Systems at Low Genera

Details Hitchin Systems at Low Genera Hitchin Systems at Low Genera

1998-03-12

arxiv.org/abs/hep-th/9803101v1

J.Math.Phys. 41 (2000) 4695-4712

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex

Scientific paper

10.1063/1.533372

The paper gives a quick account of the simplest cases of the Hitchin
integrable systems and of the Knizhnik-Zamolodchikov-Bernard connection at
genus 0, 1 and 2. In particular, we construct the action-angle variables of the
genus 2 Hitchin system with group SL(2) by exploiting its relation to the
classical Neumann integrable systems.

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