Integrable systems and Special Kähler metrics
Nigel HitchinUniversity of Oxford, UK
We describe the Special Kähler 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 Kähler potential. This extends to the case of a singular spectral curve and we show that this defines the Special Kähler structure on certain natural integrable subsystems. Examples include the extreme case where the metric is flat.
Cite this article
Nigel Hitchin, Integrable systems and Special Kähler metrics. EMS Surv. Math. Sci. 8 (2021), no. 1/2, pp. 163–178DOI 10.4171/EMSS/46