Families of Hitchin Systems in Type-D
High Energy Physics - Theory
2025-11-03 v1 Algebraic Geometry
Abstract
The Coulomb branch geometry of a 4d SCFT is encoded in the data of a complex integrable system. In class-S, this is the Hitchin System (of ADE type) on the punctured curves on which we compactified from 6d to 4d. As we vary the complex structure of , these fit together to form a (nontrivial!) bundle of Hitchin systems over the moduli space of complex structures of (the ``conformal manifold'' of the family of SCFTs). We carry out that construction for type-D. Compared to the type-A case, the construction is much more complicated because of local constraints at the punctures. Those local constraints were studied in [1]. Here, we work out their implications for the global bundle of spectral (Seiberg-Witten) curves.
Cite
@article{arxiv.2510.27199,
title = {Families of Hitchin Systems in Type-D},
author = {Aswin Balasubramanian and Jacques Distler and Ron Donagi and Carlos Perez-Pardavila},
journal= {arXiv preprint arXiv:2510.27199},
year = {2025}
}