Hitchin systems on hyperelliptic curves

2019/12/14 by Polina Igorevna Borisova, Borisova, P. I., О. К. Шейнман +1 · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Black Holes and Theoretical Physics #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1912.06849

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.

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