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Hitchin Systems at Low Genera

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arxiv hep-th/9803101 v1 pith:KRUYRM46 submitted 1998-03-12 hep-th math.AGnlin.SIsolv-int

Krzysztof Gawedzki , Pascal Tran-Ngoc-Bich This is my paper · ORCID
classification hep-thmath.AGnlin.SIsolv-int
keywords hitchinsystemsgenusintegrableaccountaction-anglecasesclassical
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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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