Hitchin systems on hyperelliptic curves
Mathematical Physics
2019-12-17 v1 Algebraic Geometry
math.MP
Abstract
We describe a class of spectral curves and find explicit formulas for Darboux coordinates for hyperelliptic Hitchin systems corresponding to classical simple Lie groups. We consider in detail the systems with classical rank 2 gauge groups on genus 2 curves.
Cite
@article{arxiv.1912.06849,
title = {Hitchin systems on hyperelliptic curves},
author = {P. I. Borisova and O. K. Sheinman},
journal= {arXiv preprint arXiv:1912.06849},
year = {2019}
}
Comments
16 pages, 5 figures