Integrable systems and Special K\"ahler metrics
Differential Geometry
2019-10-14 v1
Abstract
We describe the Special K\"ahler structure on the base of the so-called Hitchin system in terms of the geometry of the space of spectral curves. It yields a simple formula for the K\"ahler potential. This extends to the case of a singular spectral curve and we show that this defines the Special K\"ahler structure on certain natural integrable subsystems. Examples include the extreme case where the metric is flat.
Keywords
Cite
@article{arxiv.1910.05170,
title = {Integrable systems and Special K\"ahler metrics},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:1910.05170},
year = {2019}
}
Comments
Based on a talk given at a conference for Dan Freed's 60th birthday