Hitchin Systems at Low Genera
High Energy Physics - Theory
2009-10-31 v1 Algebraic Geometry
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Cite
@article{arxiv.hep-th/9803101,
title = {Hitchin Systems at Low Genera},
author = {Krzysztof Gawedzki and Pascal Tran-Ngoc-Bich},
journal= {arXiv preprint arXiv:hep-th/9803101},
year = {2009}
}
Comments
20 pages, latex